mirror of https://gitlab.com/QEF/q-e.git
1915 lines
61 KiB
Fortran
1915 lines
61 KiB
Fortran
!
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! Copyright (C) 2012 Quantum ESPRESSO group
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! This file is distributed under the terms of the
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! GNU General Public License. See the file `License'
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! in the root directory of the present distribution,
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! or http://www.gnu.org/copyleft/gpl.txt .
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!
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!
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! This file contains a series of obsolete routines that are here
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! for compatibility.
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!
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!
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!-----------------------------------------------------------------------
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subroutine smallgq (xq, at, bg, s, nsym, irgq, nsymq, irotmq, &
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minus_q, gi, gimq)
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!-----------------------------------------------------------------------
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!! -- OBSOLETE (kept for compatibility) --
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!! This routine selects, among the symmetry matrices of the point group
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!! of a crystal, the symmetry operations which leave q unchanged.
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!! Furthermore it checks if one of the matrices send q <-> -q+G. In
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!! this case \(\text{minus_q}\) is set TRUE.
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!
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!! Revised 2 Sept. 1995 by Andrea Dal Corso
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!! Modified 22 April 1997 by SdG: \(\text{minus_q}\) is sought also among
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!! sym.op. such that Sq=q+G (i.e. the case \(q=-q+G\) is dealt with).
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!
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!
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! The dummy variables
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!
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USE kinds, only : DP
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implicit none
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real(DP), parameter :: accep=1.e-5_dp
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real(DP) :: bg (3, 3), at (3, 3), xq (3), gi (3, 48), gimq (3)
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! input: the reciprocal lattice vectors
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! input: the direct lattice vectors
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! input: the q point of the crystal
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! output: the G associated to a symmetry:[S(irotq)*q - q]
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! output: the G associated to: [S(irotmq)*q + q]
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integer :: s (3, 3, 48), irgq (48), irotmq, nsymq, nsym
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! input: the symmetry matrices
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! output: the symmetry of the small group
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! output: op. symmetry: s_irotmq(q)=-q+G
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! output: dimension of the small group of q
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! input: dimension of the point group
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logical :: minus_q
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! input: .t. if sym.ops. such that Sq=-q+G are searched for
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! output: .t. if such a symmetry has been found
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real(DP) :: wrk (3), aq (3), raq (3), zero (3)
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! additional space to compute gi and gimq
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! q vector in crystal basis
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! the rotated of the q vector
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! the zero vector
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integer :: isym, ipol, jpol
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! counter on symmetry operations
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! counter on polarizations
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! counter on polarizations
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logical :: look_for_minus_q, eqvect
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! .t. if sym.ops. such that Sq=-q+G are searched for
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! logical function, check if two vectors are equal
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!
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! Set to zero some variables and transform xq to the crystal basis
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!
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look_for_minus_q = minus_q
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!
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minus_q = .false.
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zero = 0.d0
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gi = 0.d0
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gimq = 0.d0
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aq = xq
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call cryst_to_cart (1, aq, at, - 1)
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!
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! test all symmetries to see if the operation S sends q in q+G ...
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!
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nsymq = 0
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do isym = 1, nsym
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raq = 0.d0
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do ipol = 1, 3
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do jpol = 1, 3
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raq (ipol) = raq (ipol) + DBLE (s (ipol, jpol, isym) ) * &
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aq (jpol)
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enddo
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enddo
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if (eqvect (raq, aq, zero, accep) ) then
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nsymq = nsymq + 1
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irgq (nsymq) = isym
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do ipol = 1, 3
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wrk (ipol) = raq (ipol) - aq (ipol)
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enddo
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call cryst_to_cart (1, wrk, bg, 1)
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gi (:, nsymq) = wrk (:)
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!
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! ... and in -q+G
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!
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if (look_for_minus_q.and..not.minus_q) then
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raq (:) = - raq(:)
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if (eqvect (raq, aq, zero, accep) ) then
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minus_q = .true.
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irotmq = isym
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do ipol = 1, 3
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wrk (ipol) = - raq (ipol) + aq (ipol)
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enddo
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call cryst_to_cart (1, wrk, bg, 1)
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gimq (:) = wrk (:)
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endif
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endif
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endif
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enddo
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!
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! if xq=(0,0,0) minus_q always apply with the identity operation
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!
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if (xq (1) == 0.d0 .and. xq (2) == 0.d0 .and. xq (3) == 0.d0) then
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minus_q = .true.
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irotmq = 1
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gimq = 0.d0
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endif
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!
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return
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end subroutine smallgq
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!
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! Copyright (C) 2001-2003 PWSCF group
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! This file is distributed under the terms of the
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! GNU General Public License. See the file `License'
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! in the root directory of the present distribution,
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! or http://www.gnu.org/copyleft/gpl.txt .
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!
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!
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!---------------------------------------------------------------------
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subroutine set_irr (nat, at, bg, xq, s, sr, tau, ntyp, ityp, ftau, invs, nsym, &
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rtau, irt, irgq, nsymq, minus_q, irotmq, u, npert, &
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nirr, gi, gimq, iverbosity, u_from_file, eigen, search_sym,&
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nspin_mag, t_rev, amass, num_rap_mode, name_rap_mode)
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!---------------------------------------------------------------------
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!! -- OBSOLETE (kept for compatibility) --
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!! This subroutine computes a basis for all the irreducible
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!! representations of the small group of q, which are contained
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!! in the representation which has as basis the displacement vectors.
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!! This is achieved by building a random hermitean matrix,
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!! symmetrizing it and diagonalizing the result. The eigenvectors
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!! give a basis for the irreducible representations of the
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!! small group of q.
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!
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!! Furthermore it computes:
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!! 1) the small group of q.
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!! 2) the possible G vectors associated to every symmetry operation.
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!! 3) the matrices which represent the small group of q on the
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!! pattern basis.
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!
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!! Original routine was from C. Bungaro.
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!! Revised Oct. 1995 by Andrea Dal Corso.
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!! April 1997: parallel stuff added (SdG)
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!
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USE io_global, ONLY : stdout
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USE kinds, ONLY : DP
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USE constants, ONLY: tpi
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USE random_numbers, ONLY : randy
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USE rap_point_group, ONLY : name_rap
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#if defined(__MPI)
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USE mp, ONLY: mp_bcast
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USE io_global, ONLY : ionode_id
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USE mp_images, ONLY : intra_image_comm
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#endif
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implicit none
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!
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! first the dummy variables
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!
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integer :: nat, ntyp, nsym, s (3, 3, 48), invs (48), irt (48, nat), &
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iverbosity, npert (3 * nat), irgq (48), nsymq, irotmq, nirr, &
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ftau(3,48), nspin_mag, t_rev(48), ityp(nat), num_rap_mode(3*nat)
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! input: the number of atoms
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! input: the number of types of atoms
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! input: the number of symmetries
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! input: the symmetry matrices
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! input: the inverse of each matrix
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! input: the rotated of each atom
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! input: write control
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! output: the dimension of each representation
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! output: the small group of q
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! output: the order of the small group
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! output: the symmetry sending q -> -q+
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! output: the number of irr. representation
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! input: the fractionary translations
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! input: the number of spin components
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! input: the time reversal symmetry
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! input: the type of each atom
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! output: the number of the representation of each mode
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real(DP) :: xq (3), rtau (3, 48, nat), at (3, 3), bg (3, 3), &
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gi (3, 48), gimq (3), sr(3,3,48), tau(3,nat), amass(ntyp)
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! input: the q point
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! input: the R associated to each tau
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! input: the direct lattice vectors
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! input: the reciprocal lattice vectors
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! output: [S(irotq)*q - q]
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! output: [S(irotmq)*q + q]
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! input: symmetry matrices in cartesian coordinates
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! input: the atomic positions
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! input: the mass of each atom (in amu)
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complex(DP) :: u(3*nat, 3*nat)
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! output: the pattern vectors
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logical :: minus_q, u_from_file, search_sym
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! output: if true one symmetry send q -
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! input: if true the displacement patterns are not calculated here
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! output: if true the symmetry of each mode has been calculated
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character(len=15) :: name_rap_mode( 3 * nat )
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! output: the name of the representation for each group of modes
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!
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! here the local variables
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!
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integer :: na, nb, imode, jmode, ipert, jpert, nsymtot, imode0, &
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irr, ipol, jpol, isymq, irot, sna, isym
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! counters and auxiliary variables
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integer :: info, mode_per_rap(12), count_rap(12), rap, init, pos, irap, &
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num_rap_aux( 3 * nat )
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real(DP) :: eigen (3 * nat), modul, arg, eig(3*nat)
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! the eigenvalues of dynamical matrix
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! the modulus of the mode
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! the argument of the phase
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complex(DP) :: wdyn (3, 3, nat, nat), phi (3 * nat, 3 * nat), &
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wrk_u (3, nat), wrk_ru (3, nat), fase
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! the dynamical matrix
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! the dynamical matrix with two indices
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! pattern
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! rotated pattern
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! the phase factor
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logical :: lgamma, magnetic_sym
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! if true gamma point
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!
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! Allocate the necessary quantities
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!
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lgamma = (xq(1) == 0.d0 .and. xq(2) == 0.d0 .and. xq(3) == 0.d0)
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!
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! find the small group of q
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!
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call smallgq (xq,at,bg,s,nsym,irgq,nsymq,irotmq,minus_q,gi,gimq)
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! are there non-symmorphic operations?
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! note that in input search_sym should be initialized to=.true.
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IF ( ANY ( ftau(:,1:nsymq) /= 0 ) ) THEN
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DO isym=1,nsymq
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search_sym=( search_sym.and.(abs(gi(1,irgq(isym)))<1.d-8).and. &
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(abs(gi(2,irgq(isym)))<1.d-8).and. &
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(abs(gi(3,irgq(isym)))<1.d-8) )
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END DO
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END IF
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num_rap_mode=-1
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IF (search_sym) THEN
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magnetic_sym=(nspin_mag==4)
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CALL prepare_sym_analysis(nsymq,sr,t_rev,magnetic_sym)
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ENDIF
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IF (.NOT. u_from_file) THEN
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!
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! then we generate a random hermitean matrix
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!
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arg = randy(0)
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call random_matrix (irt,irgq,nsymq,minus_q,irotmq,nat,wdyn,lgamma)
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!call write_matrix('random matrix',wdyn,nat)
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!
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! symmetrize the random matrix with the little group of q
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!
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call symdynph_gq (xq,wdyn,s,invs,rtau,irt,irgq,nsymq,nat,irotmq,minus_q)
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!call write_matrix('symmetrized matrix',wdyn,nat)
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!
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! Diagonalize the symmetrized random matrix.
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! Transform the symmetrized matrix, currently in crystal coordinates,
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! in cartesian coordinates.
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!
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do na = 1, nat
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do nb = 1, nat
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call trntnsc( wdyn(1,1,na,nb), at, bg, 1 )
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enddo
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enddo
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!
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! We copy the dynamical matrix in a bidimensional array
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!
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do na = 1, nat
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do nb = 1, nat
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do ipol = 1, 3
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imode = ipol + 3 * (na - 1)
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do jpol = 1, 3
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jmode = jpol + 3 * (nb - 1)
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phi (imode, jmode) = wdyn (ipol, jpol, na, nb)
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enddo
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enddo
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enddo
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enddo
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!
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! Diagonalize
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!
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call cdiagh (3 * nat, phi, 3 * nat, eigen, u)
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!
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! We adjust the phase of each mode in such a way that the first
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! non zero element is real
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!
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do imode = 1, 3 * nat
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do na = 1, 3 * nat
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modul = abs (u(na, imode) )
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if (modul.gt.1d-9) then
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fase = u (na, imode) / modul
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goto 110
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endif
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enddo
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call errore ('set_irr', 'one mode is zero', imode)
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110 do na = 1, 3 * nat
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u (na, imode) = - u (na, imode) * CONJG(fase)
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enddo
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enddo
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!
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! We have here a test which writes eigenvectors and eigenvalues
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!
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if (iverbosity.eq.1) then
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do imode=1,3*nat
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WRITE( stdout, '(2x,"autoval = ", e10.4)') eigen(imode)
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WRITE( stdout, '(2x,"Real(aut_vet)= ( ",6f10.5,")")') &
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( DBLE(u(na,imode)), na=1,3*nat )
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WRITE( stdout, '(2x,"Imm(aut_vet)= ( ",6f10.5,")")') &
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( AIMAG(u(na,imode)), na=1,3*nat )
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end do
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end if
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IF (search_sym) THEN
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CALL find_mode_sym (u, eigen, at, bg, tau, nat, nsymq, &
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sr, irt, xq, rtau, amass, ntyp, ityp, 0, lgamma, &
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.FALSE., nspin_mag, name_rap_mode, num_rap_mode )
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!
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! Order the modes so that we first make all those that belong to the first
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! representation, then the second ect.
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!
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!
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! First count, for each irreducible representation, how many modes
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! belong to that representation
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!
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mode_per_rap=0
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DO imode=1,3*nat
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mode_per_rap(num_rap_mode(imode))=mode_per_rap(num_rap_mode(imode))+1
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ENDDO
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!
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! The position of each mode on the list is the following:
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! The positions from 1 to nrap(1) contain the modes that transform according
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! to the first representation. From nrap(1)+1 to nrap(1)+nrap(2) the
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! mode that transform according to the second ecc.
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!
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count_rap=1
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DO imode=1,3*nat
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rap=num_rap_mode(imode)
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IF (rap>12) call errore('set_irr',&
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'problem with the representation',1)
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init=0
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DO irap=1,rap-1
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init=init+mode_per_rap(irap)
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ENDDO
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pos=init+count_rap(rap)
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eig(pos)=eigen(imode)
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phi(:,pos)=u(:,imode)
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num_rap_aux(pos)=num_rap_mode(imode)
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count_rap(rap)=count_rap(rap)+1
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ENDDO
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eigen=eig
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u=phi
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num_rap_mode=num_rap_aux
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! Modes with accidentally degenerate eigenvalues, or with eigenvalues
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! degenerate due to time reversal must be calculated together even if
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! they belong to different irreducible representations.
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!
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DO imode=1,3*nat-1
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DO jmode = imode+1, 3*nat
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IF ((num_rap_mode(imode) /= num_rap_mode(jmode)).AND. &
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(ABS(eigen(imode) - eigen(jmode))/ &
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(ABS(eigen(imode)) + ABS (eigen (jmode) )) < 1.d-4) ) THEN
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eig(1)=eigen(jmode)
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phi(:,1)=u(:,jmode)
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num_rap_aux(1)=num_rap_mode(jmode)
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eigen(jmode)=eigen(imode+1)
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u(:,jmode)=u(:,imode+1)
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num_rap_mode(jmode)=num_rap_mode(imode+1)
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eigen(imode+1)=eig(1)
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u(:,imode+1)=phi(:,1)
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num_rap_mode(imode+1)=num_rap_aux(1)
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ENDIF
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ENDDO
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ENDDO
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ENDIF
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!
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! Here we count the irreducible representations and their dimensions
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do imode = 1, 3 * nat
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! initialization
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npert (imode) = 0
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enddo
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nirr = 1
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npert (1) = 1
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do imode = 2, 3 * nat
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if (abs (eigen (imode) - eigen (imode-1) ) / (abs (eigen (imode) ) &
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+ abs (eigen (imode-1) ) ) .lt.1.d-4) then
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npert (nirr) = npert (nirr) + 1
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else
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nirr = nirr + 1
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npert (nirr) = 1
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endif
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enddo
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IF (search_sym) THEN
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imode=1
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DO irr=1,nirr
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name_rap_mode(irr)=name_rap(num_rap_mode(imode))
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imode=imode+npert(irr)
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ENDDO
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ENDIF
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endif
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! Note: the following lines are for testing purposes
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!
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! nirr = 1
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! npert(1)=1
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! do na=1,3*nat/2
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! u(na,1)=(0.d0,0.d0)
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! u(na+3*nat/2,1)=(0.d0,0.d0)
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! enddo
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! u(1,1)=(-1.d0,0.d0)
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! WRITE( stdout,'(" Setting mode for testing ")')
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! do na=1,3*nat
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! WRITE( stdout,*) u(na,1)
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! enddo
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! nsymq=1
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! minus_q=.false.
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#if defined(__MPI)
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!
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! parallel stuff: first node broadcasts everything to all nodes
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!
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400 continue
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call mp_bcast (gi, ionode_id, intra_image_comm)
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call mp_bcast (gimq, ionode_id, intra_image_comm)
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call mp_bcast (u, ionode_id, intra_image_comm)
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call mp_bcast (nsymq, ionode_id, intra_image_comm)
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call mp_bcast (npert, ionode_id, intra_image_comm)
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call mp_bcast (nirr, ionode_id, intra_image_comm)
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call mp_bcast (irotmq, ionode_id, intra_image_comm)
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call mp_bcast (irgq, ionode_id, intra_image_comm)
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call mp_bcast (minus_q, ionode_id, intra_image_comm)
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call mp_bcast (num_rap_mode, ionode_id, intra_image_comm)
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call mp_bcast (name_rap_mode, ionode_id, intra_image_comm)
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#endif
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return
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end subroutine set_irr
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!
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! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!---------------------------------------------------------------------
|
|
subroutine set_irr_nosym (nat, at, bg, xq, s, invs, nsym, rtau, &
|
|
irt, irgq, nsymq, minus_q, irotmq, t, tmq, npertx, u, &
|
|
npert, nirr, gi, gimq, iverbosity)
|
|
!---------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine substitute set_irr when there are no symmetries.
|
|
!! The irreducible representations are all one dimensional and
|
|
!! we set them to the displacement of a single atom in one direction.
|
|
!
|
|
USE kinds, only : DP
|
|
implicit none
|
|
!
|
|
! first the dummy variables
|
|
!
|
|
|
|
integer :: nat, nsym, s (3, 3, 48), invs (48), irt (48, nat), &
|
|
iverbosity, npert (3 * nat), irgq (48), nsymq, irotmq, nirr, npertx
|
|
! input: the number of atoms
|
|
! input: the number of symmetries
|
|
! input: the symmetry matrices
|
|
! input: the inverse of each matrix
|
|
! input: the rotated of each atom
|
|
! input: write control
|
|
! output: the dimension of each represe
|
|
! output: the small group of q
|
|
! output: the order of the small group
|
|
! output: the symmetry sending q -> -q+
|
|
! output: the number of irr. representa
|
|
|
|
real(DP) :: xq (3), rtau (3, 48, nat), at (3, 3), bg (3, 3), &
|
|
gi (3, 48), gimq (3)
|
|
! input: the q point
|
|
! input: the R associated to each tau
|
|
! input: the direct lattice vectors
|
|
! input: the reciprocal lattice vectors
|
|
! output: [S(irotq)*q - q]
|
|
! output: [S(irotmq)*q + q]
|
|
|
|
complex(DP) :: u(3*nat, 3*nat), t(npertx, npertx, 48, 3*nat),&
|
|
tmq (npertx, npertx, 3 * nat)
|
|
! output: the pattern vectors
|
|
! output: the symmetry matrices
|
|
! output: the matrice sending q -> -q+G
|
|
|
|
logical :: minus_q
|
|
! output: if true one symmetry send q -> -q+G
|
|
integer :: imode
|
|
! counter on modes
|
|
!
|
|
! set the information on the symmetry group
|
|
!
|
|
call smallgq (xq,at,bg,s,nsym,irgq,nsymq,irotmq,minus_q,gi,gimq)
|
|
!
|
|
! set the modes
|
|
!
|
|
u (:,:) = (0.d0, 0.d0)
|
|
do imode = 1, 3 * nat
|
|
u (imode, imode) = (1.d0, 0.d0)
|
|
enddo
|
|
nirr = 3 * nat
|
|
do imode = 1, 3 * nat
|
|
npert (imode) = 1
|
|
enddo
|
|
!
|
|
! And we compute the matrices which represent the symmetry transformat
|
|
! in the basis of the displacements
|
|
!
|
|
t(:, :, :, :) = (0.d0, 0.d0)
|
|
do imode = 1, 3 * nat
|
|
t (1, 1, 1, imode) = (1.d0, 0.d0)
|
|
enddo
|
|
|
|
tmq (:, :, :) = (0.d0, 0.d0)
|
|
if (minus_q) then
|
|
tmq (1, 1, :) = (1.d0, 0.d0)
|
|
end if
|
|
|
|
return
|
|
end subroutine set_irr_nosym
|
|
|
|
!
|
|
! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!
|
|
!---------------------------------------------------------------------
|
|
subroutine set_irr_mode (nat, at, bg, xq, s, invs, nsym, rtau, &
|
|
irt, irgq, nsymq, minus_q, irotmq, t, tmq, npertx, u, &
|
|
npert, nirr, gi, gimq, iverbosity, modenum)
|
|
!---------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine computes the symmetry matrix of the mode defined
|
|
!! by modenum. It sets also the modes u for all the other
|
|
!! representation.
|
|
!
|
|
!
|
|
!
|
|
USE kinds, only : DP
|
|
USE constants, ONLY: tpi
|
|
implicit none
|
|
!
|
|
! first the dummy variables
|
|
!
|
|
|
|
integer :: nat, nsym, s (3, 3, 48), invs (48), irt (48, nat), &
|
|
iverbosity, modenum, npert (3 * nat), irgq (48), nsymq, irotmq, &
|
|
nirr, npertx
|
|
! input: the number of atoms
|
|
! input: the number of symmetries
|
|
! input: the symmetry matrices
|
|
! input: the inverse of each matrix
|
|
! input: the rotated of each atom
|
|
! input: write control
|
|
! input: the mode to be done
|
|
! output: the dimension of each represe
|
|
! output: the small group of q
|
|
! output: the order of the small group
|
|
! output: the symmetry sending q -> -q+
|
|
! output: the number of irr. representa
|
|
|
|
real(DP) :: xq (3), rtau (3, 48, nat), at (3, 3), bg (3, 3), &
|
|
gi (3, 48), gimq (3)
|
|
! input: the q point
|
|
! input: the R associated to each tau
|
|
! input: the direct lattice vectors
|
|
! input: the reciprocal lattice vectors
|
|
! output: [S(irotq)*q - q]
|
|
! output: [S(irotmq)*q + q]
|
|
|
|
complex(DP) :: u(3*nat, 3*nat), t(npertx, npertx, 48, 3*nat),&
|
|
tmq (npertx, npertx, 3 * nat)
|
|
! output: the pattern vectors
|
|
! output: the symmetry matrices
|
|
! output: the matrice sending q -> -q+G
|
|
logical :: minus_q
|
|
! output: if true one symmetry send q -> -q+G
|
|
!
|
|
! here the local variables
|
|
!
|
|
integer :: na, imode, jmode, ipert, jpert, nsymtot, imode0, irr, &
|
|
ipol, jpol, isymq, irot, sna
|
|
! counters and auxilary variables
|
|
|
|
real(DP) :: modul, arg
|
|
! the modulus of the mode
|
|
! the argument of the phase
|
|
|
|
complex(DP) :: wrk_u (3, nat), wrk_ru (3, nat), fase
|
|
! one pattern
|
|
! the rotated of one pattern
|
|
! the phase factor
|
|
|
|
logical :: lgamma
|
|
! if true gamma point
|
|
!
|
|
! Allocate the necessary quantities
|
|
!
|
|
lgamma = (xq (1) == 0.d0 .and. xq (2) == 0.d0 .and. xq (3) == 0.d0)
|
|
!
|
|
! find the small group of q
|
|
!
|
|
call smallgq (xq, at, bg, s, nsym, irgq, nsymq, irotmq, minus_q, gi, gimq)
|
|
!
|
|
! set the modes to be done
|
|
!
|
|
u (:, :) = (0.d0, 0.d0)
|
|
do imode = 1, 3 * nat
|
|
u (imode, imode) = (1.d0, 0.d0)
|
|
enddo
|
|
!
|
|
! Here we count the irreducible representations and their dimensions
|
|
!
|
|
nirr = 3 * nat
|
|
! initialization
|
|
npert (:) = 1
|
|
!
|
|
! And we compute the matrices which represent the symmetry transformat
|
|
! in the basis of the displacements
|
|
!
|
|
|
|
t(:, :, :, :) = (0.d0, 0.d0)
|
|
tmq (:, :, :) = (0.d0, 0.d0)
|
|
if (minus_q) then
|
|
nsymtot = nsymq + 1
|
|
else
|
|
nsymtot = nsymq
|
|
endif
|
|
|
|
do isymq = 1, nsymtot
|
|
if (isymq.le.nsymq) then
|
|
irot = irgq (isymq)
|
|
else
|
|
irot = irotmq
|
|
endif
|
|
imode0 = 0
|
|
do irr = 1, nirr
|
|
do ipert = 1, npert (irr)
|
|
imode = imode0 + ipert
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
jmode = 3 * (na - 1) + ipol
|
|
wrk_u (ipol, na) = u (jmode, imode)
|
|
enddo
|
|
enddo
|
|
!
|
|
! transform this pattern to crystal basis
|
|
!
|
|
do na = 1, nat
|
|
call trnvecc (wrk_u (1, na), at, bg, - 1)
|
|
enddo
|
|
!
|
|
! the patterns are rotated with this symmetry
|
|
!
|
|
wrk_ru(:,:) = (0.d0, 0.d0)
|
|
do na = 1, nat
|
|
sna = irt (irot, na)
|
|
arg = 0.d0
|
|
do ipol = 1, 3
|
|
arg = arg + xq (ipol) * rtau (ipol, irot, na)
|
|
enddo
|
|
arg = arg * tpi
|
|
if (isymq == nsymtot .and. minus_q) then
|
|
fase = CMPLX(cos (arg), sin (arg) ,kind=DP)
|
|
else
|
|
fase = CMPLX(cos (arg), - sin (arg) ,kind=DP)
|
|
endif
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
wrk_ru (ipol, sna) = wrk_ru (ipol, sna) + fase * &
|
|
s (jpol, ipol, irot) * wrk_u (jpol, na)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!
|
|
! Transform back the rotated pattern
|
|
!
|
|
do na = 1, nat
|
|
call trnvecc (wrk_ru (1, na), at, bg, 1)
|
|
enddo
|
|
!
|
|
! Computes the symmetry matrices on the basis of the pattern
|
|
!
|
|
do jpert = 1, npert (irr)
|
|
imode = imode0 + jpert
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
jmode = ipol + (na - 1) * 3
|
|
if (isymq == nsymtot .and. minus_q) then
|
|
tmq (jpert, ipert, irr) = tmq (jpert, ipert, irr) + &
|
|
CONJG(u (jmode, imode) * wrk_ru (ipol, na) )
|
|
else
|
|
t (jpert, ipert, irot, irr) = t (jpert, ipert, irot, irr) &
|
|
+ CONJG(u (jmode, imode) ) * wrk_ru (ipol, na)
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
imode0 = imode0 + npert (irr)
|
|
enddo
|
|
|
|
enddo
|
|
! WRITE( stdout,*) 'nsymq',nsymq
|
|
! do isymq=1,nsymq
|
|
! irot=irgq(isymq)
|
|
! WRITE( stdout,'("t(1,1,irot,modenum)",i5,2f10.5)')
|
|
! + irot,t(1,1,irot,modenum)
|
|
! enddo
|
|
return
|
|
end subroutine set_irr_mode
|
|
|
|
|
|
!
|
|
! Copyright (C) 2001-2009 Quantum ESPRESSO group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!
|
|
!---------------------------------------------------------------------
|
|
subroutine set_irr_sym (nat, at, bg, xq, s, rtau, irt, &
|
|
irgq, nsymq, minus_q, irotmq, t, tmq, u, npert, nirr, npertx )
|
|
!---------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This subroutine computes the matrices which represent the small
|
|
!! group of q on the pattern basis.
|
|
!
|
|
USE kinds, ONLY : DP
|
|
USE constants, ONLY: tpi
|
|
|
|
USE mp, ONLY: mp_bcast
|
|
USE mp_images, ONLY : intra_image_comm
|
|
USE io_global, ONLY : ionode_id
|
|
implicit none
|
|
!
|
|
! first the dummy variables
|
|
!
|
|
|
|
integer, intent(in) :: nat, s (3, 3, 48), irt (48, nat), npert (3 * nat), &
|
|
irgq (48), nsymq, irotmq, nirr, npertx
|
|
! input: the number of atoms
|
|
! input: the symmetry matrices
|
|
! input: the rotated of each atom
|
|
! input: the dimension of each represe
|
|
! input: the small group of q
|
|
! input: the order of the small group
|
|
! input: the symmetry sending q -> -q+
|
|
! input: the number of irr. representa
|
|
|
|
real(DP), intent(in) :: xq (3), rtau (3, 48, nat), at (3, 3), bg (3, 3)
|
|
! input: the q point
|
|
! input: the R associated to each tau
|
|
! input: the direct lattice vectors
|
|
! input: the reciprocal lattice vectors
|
|
|
|
complex(DP), intent(in) :: u(3*nat, 3*nat)
|
|
! input: the pattern vectors
|
|
|
|
complex(DP), intent(out) :: t(npertx, npertx, 48, 3*nat), tmq (npertx, npertx, 3*nat)
|
|
! output: the symmetry matrices
|
|
! output: the matrice sending q -> -q+G
|
|
logical :: minus_q
|
|
! output: if true one symmetry send q -
|
|
!
|
|
! here the local variables
|
|
!
|
|
integer :: na, imode, jmode, ipert, jpert, kpert, nsymtot, imode0, &
|
|
irr, ipol, jpol, isymq, irot, sna
|
|
! counters and auxiliary variables
|
|
|
|
real(DP) :: arg
|
|
! the argument of the phase
|
|
|
|
complex(DP) :: wrk_u (3, nat), wrk_ru (3, nat), fase, wrk
|
|
! pattern
|
|
! rotated pattern
|
|
! the phase factor
|
|
|
|
!
|
|
! We compute the matrices which represent the symmetry transformation
|
|
! in the basis of the displacements
|
|
!
|
|
t(:,:,:,:) = (0.d0, 0.d0)
|
|
tmq(:,:,:) = (0.d0, 0.d0)
|
|
if (minus_q) then
|
|
nsymtot = nsymq + 1
|
|
else
|
|
nsymtot = nsymq
|
|
endif
|
|
do isymq = 1, nsymtot
|
|
if (isymq.le.nsymq) then
|
|
irot = irgq (isymq)
|
|
else
|
|
irot = irotmq
|
|
endif
|
|
imode0 = 0
|
|
do irr = 1, nirr
|
|
do ipert = 1, npert (irr)
|
|
imode = imode0 + ipert
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
jmode = 3 * (na - 1) + ipol
|
|
wrk_u (ipol, na) = u (jmode, imode)
|
|
enddo
|
|
enddo
|
|
!
|
|
! transform this pattern to crystal basis
|
|
!
|
|
do na = 1, nat
|
|
call trnvecc (wrk_u (1, na), at, bg, - 1)
|
|
enddo
|
|
!
|
|
! the patterns are rotated with this symmetry
|
|
!
|
|
wrk_ru(:,:) = (0.d0, 0.d0)
|
|
do na = 1, nat
|
|
sna = irt (irot, na)
|
|
arg = 0.d0
|
|
do ipol = 1, 3
|
|
arg = arg + xq (ipol) * rtau (ipol, irot, na)
|
|
enddo
|
|
arg = arg * tpi
|
|
if (isymq.eq.nsymtot.and.minus_q) then
|
|
fase = CMPLX (cos (arg), sin (arg) )
|
|
else
|
|
fase = CMPLX (cos (arg), - sin (arg) )
|
|
endif
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
wrk_ru (ipol, sna) = wrk_ru (ipol, sna) + s (jpol, ipol, irot) &
|
|
* wrk_u (jpol, na) * fase
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!
|
|
! Transform back the rotated pattern
|
|
!
|
|
do na = 1, nat
|
|
call trnvecc (wrk_ru (1, na), at, bg, 1)
|
|
enddo
|
|
!
|
|
! Computes the symmetry matrices on the basis of the pattern
|
|
!
|
|
do jpert = 1, npert (irr)
|
|
imode = imode0 + jpert
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
jmode = ipol + (na - 1) * 3
|
|
if (isymq.eq.nsymtot.and.minus_q) then
|
|
tmq (jpert, ipert, irr) = tmq (jpert, ipert, irr) + CONJG(u ( &
|
|
jmode, imode) * wrk_ru (ipol, na) )
|
|
else
|
|
t (jpert, ipert, irot, irr) = t (jpert, ipert, irot, irr) &
|
|
+ CONJG(u (jmode, imode) ) * wrk_ru (ipol, na)
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
imode0 = imode0 + npert (irr)
|
|
|
|
!
|
|
! If the representations are irreducible, the rotations should be unitary matrices
|
|
! if this is not the case, the way the representations have been chosen has failed
|
|
! for some reasons (check set_irr.f90)
|
|
!
|
|
do ipert = 1, npert (irr)
|
|
do jpert = 1, npert (irr)
|
|
wrk = cmplx(0.d0,0.d0)
|
|
do kpert = 1, npert (irr)
|
|
wrk = wrk + t (ipert,kpert,irot,irr) * conjg( t(jpert,kpert,irot,irr))
|
|
enddo
|
|
if (jpert.ne.ipert .and. abs(wrk).gt. 1.d-6 ) &
|
|
call errore('set_irr_sym','wrong representation',100*irr+10*jpert+ipert)
|
|
if (jpert.eq.ipert .and. abs(wrk-1.d0).gt. 1.d-6 ) &
|
|
call errore('set_irr_sym','wrong representation',100*irr+10*jpert+ipert)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
|
|
enddo
|
|
|
|
#if defined(__MPI)
|
|
!
|
|
! parallel stuff: first node broadcasts everything to all nodes
|
|
!
|
|
call mp_bcast (t, ionode_id, intra_image_comm)
|
|
call mp_bcast (tmq, ionode_id, intra_image_comm)
|
|
#endif
|
|
return
|
|
end subroutine set_irr_sym
|
|
|
|
!
|
|
! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!-----------------------------------------------------------------------
|
|
|
|
subroutine dynmat0
|
|
!-----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine computes the part of the dynamical matrix which
|
|
!! does not depend upon the change of the Bloch wavefunctions.
|
|
!! It is a driver which calls the routines dynmat_## and d2ionq
|
|
!! for computing respectively the electronic part and
|
|
!! the ionic part.
|
|
!
|
|
!
|
|
!
|
|
USE ions_base, ONLY : nat,ntyp => nsp, ityp, zv, tau
|
|
USE cell_base, ONLY: alat, omega, at, bg
|
|
USE gvect, ONLY: g, gg, ngm, gcutm
|
|
USE symm_base, ONLY: irt, s, invs
|
|
USE control_flags, ONLY : modenum
|
|
USE kinds, ONLY : DP
|
|
USE ph_restart, ONLY : ph_writefile
|
|
USE control_ph, ONLY : rec_code_read, current_iq
|
|
USE modes, ONLY : u, nmodes
|
|
USE partial, ONLY : done_irr, comp_irr
|
|
USE dynmat, ONLY : dyn, dyn00, dyn_rec
|
|
|
|
USE lr_symm_base, ONLY : minus_q, irotmq, irgq, rtau, nsymq
|
|
USE qpoint, ONLY : xq
|
|
|
|
implicit none
|
|
|
|
integer :: nu_i, nu_j, na_icart, nb_jcart, ierr
|
|
! counters
|
|
|
|
complex(DP) :: wrk, dynwrk (3 * nat, 3 * nat)
|
|
! auxiliary space
|
|
|
|
IF ( .NOT.comp_irr(0) .or. done_irr(0) ) RETURN
|
|
IF (rec_code_read > -30 ) RETURN
|
|
|
|
call start_clock ('dynmat0')
|
|
call zcopy (9 * nat * nat, dyn00, 1, dyn, 1)
|
|
!
|
|
! first electronic contribution arising from the term <psi|d2v|psi>
|
|
!
|
|
call dynmat_us()
|
|
!
|
|
! Here the ionic contribution
|
|
!
|
|
call d2ionq (nat, ntyp, ityp, zv, tau, alat, omega, xq, at, bg, g, &
|
|
gg, ngm, gcutm, nmodes, u, dyn)
|
|
!
|
|
! Add non-linear core-correction (NLCC) contribution (if any)
|
|
!
|
|
call dynmatcc()
|
|
!
|
|
! Symmetrizes the dynamical matrix w.r.t. the small group of q and of
|
|
! mode. This is done here, because this part of the dynmical matrix is
|
|
! saved with recover and in the other runs the symmetry group might change
|
|
!
|
|
if (modenum .ne. 0) then
|
|
|
|
call symdyn_munu (dyn, u, xq, s, invs, rtau, irt, irgq, at, bg, &
|
|
nsymq, nat, irotmq, minus_q)
|
|
!
|
|
! rotate again in the pattern basis
|
|
!
|
|
call zcopy (9 * nat * nat, dyn, 1, dynwrk, 1)
|
|
do nu_i = 1, 3 * nat
|
|
do nu_j = 1, 3 * nat
|
|
wrk = (0.d0, 0.d0)
|
|
do nb_jcart = 1, 3 * nat
|
|
do na_icart = 1, 3 * nat
|
|
wrk = wrk + CONJG(u (na_icart, nu_i) ) * &
|
|
dynwrk (na_icart, nb_jcart) * &
|
|
u (nb_jcart, nu_j)
|
|
enddo
|
|
enddo
|
|
dyn (nu_i, nu_j) = wrk
|
|
enddo
|
|
enddo
|
|
endif
|
|
! call tra_write_matrix('dynmat0 dyn',dyn,u,nat)
|
|
dyn_rec(:,:)=dyn(:,:)
|
|
done_irr(0) = .TRUE.
|
|
CALL ph_writefile('data_dyn',current_iq,0,ierr)
|
|
|
|
call stop_clock ('dynmat0')
|
|
return
|
|
end subroutine dynmat0
|
|
|
|
!
|
|
! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!-----------------------------------------------------------------------
|
|
subroutine symdyn_munu (dyn, u, xq, s, invs, rtau, irt, irgq, at, &
|
|
bg, nsymq, nat, irotmq, minus_q)
|
|
!-----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine symmetrize the dynamical matrix written in the basis
|
|
!! of the modes.
|
|
!
|
|
!
|
|
USE kinds, only : DP
|
|
implicit none
|
|
integer :: nat, s (3, 3, 48), irt (48, nat), irgq (48), invs (48), &
|
|
nsymq, irotmq
|
|
! input: the number of atoms
|
|
! input: the symmetry matrices
|
|
! input: the rotated of each atom
|
|
! input: the small group of q
|
|
! input: the inverse of each matrix
|
|
! input: the order of the small gro
|
|
! input: the symmetry q -> -q+G
|
|
|
|
real(DP) :: xq (3), rtau (3, 48, nat), at (3, 3), bg (3, 3)
|
|
! input: the coordinates of q
|
|
! input: the R associated at each r
|
|
! input: direct lattice vectors
|
|
! input: reciprocal lattice vectors
|
|
|
|
logical :: minus_q
|
|
! input: if true symmetry sends q->
|
|
|
|
complex(DP) :: dyn (3 * nat, 3 * nat), u (3 * nat, 3 * nat)
|
|
! inp/out: matrix to symmetrize
|
|
! input: the patterns
|
|
|
|
integer :: i, j, icart, jcart, na, nb, mu, nu
|
|
! counter on modes
|
|
! counter on modes
|
|
! counter on cartesian coordinates
|
|
! counter on cartesian coordinates
|
|
! counter on atoms
|
|
! counter on atoms
|
|
! counter on modes
|
|
! counter on modes
|
|
|
|
complex(DP) :: work, phi (3, 3, nat, nat)
|
|
! auxiliary variable
|
|
! the dynamical matrix
|
|
!
|
|
! First we transform in the cartesian coordinates
|
|
!
|
|
do i = 1, 3 * nat
|
|
na = (i - 1) / 3 + 1
|
|
icart = i - 3 * (na - 1)
|
|
do j = 1, 3 * nat
|
|
nb = (j - 1) / 3 + 1
|
|
jcart = j - 3 * (nb - 1)
|
|
work = (0.d0, 0.d0)
|
|
do mu = 1, 3 * nat
|
|
do nu = 1, 3 * nat
|
|
work = work + u (i, mu) * dyn (mu, nu) * CONJG(u (j, nu) )
|
|
enddo
|
|
enddo
|
|
phi (icart, jcart, na, nb) = work
|
|
enddo
|
|
enddo
|
|
!
|
|
! Then we transform to the crystal axis
|
|
!
|
|
do na = 1, nat
|
|
do nb = 1, nat
|
|
call trntnsc (phi (1, 1, na, nb), at, bg, - 1)
|
|
enddo
|
|
enddo
|
|
!
|
|
! And we symmetrize in this basis
|
|
!
|
|
call symdynph_gq (xq, phi, s, invs, rtau, irt, irgq, nsymq, nat, &
|
|
irotmq, minus_q)
|
|
!
|
|
! Back to cartesian coordinates
|
|
!
|
|
do na = 1, nat
|
|
do nb = 1, nat
|
|
call trntnsc (phi (1, 1, na, nb), at, bg, + 1)
|
|
enddo
|
|
enddo
|
|
!
|
|
! rewrite the dynamical matrix on the array dyn with dimension 3nat x 3
|
|
!
|
|
do i = 1, 3 * nat
|
|
na = (i - 1) / 3 + 1
|
|
icart = i - 3 * (na - 1)
|
|
do j = 1, 3 * nat
|
|
nb = (j - 1) / 3 + 1
|
|
jcart = j - 3 * (nb - 1)
|
|
dyn (i, j) = phi (icart, jcart, na, nb)
|
|
enddo
|
|
|
|
enddo
|
|
return
|
|
end subroutine symdyn_munu
|
|
!
|
|
!
|
|
! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!-----------------------------------------------------------------------
|
|
subroutine symdynph_gq (xq, phi, s, invs, rtau, irt, irgq, nsymq, &
|
|
nat, irotmq, minus_q)
|
|
!-----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine receives as input an unsymmetrized dynamical
|
|
!! matrix expressed on the crystal axes and imposes the symmetry
|
|
!! of the small group of q. Furthermore it imposes also the symmetry
|
|
!! \(q \rightarrow -q+G\) if present.
|
|
!
|
|
!
|
|
USE kinds, only : DP
|
|
USE constants, ONLY: tpi
|
|
implicit none
|
|
!
|
|
! The dummy variables
|
|
!
|
|
integer :: nat, s (3, 3, 48), irt (48, nat), irgq (48), invs (48), &
|
|
nsymq, irotmq
|
|
! input: the number of atoms
|
|
! input: the symmetry matrices
|
|
! input: the rotated of each vector
|
|
! input: the small group of q
|
|
! input: the inverse of each matrix
|
|
! input: the order of the small gro
|
|
! input: the rotation sending q ->
|
|
real(DP) :: xq (3), rtau (3, 48, nat)
|
|
! input: the q point
|
|
! input: the R associated at each t
|
|
|
|
logical :: minus_q
|
|
! input: true if a symmetry q->-q+G
|
|
complex(DP) :: phi (3, 3, nat, nat)
|
|
! inp/out: the matrix to symmetrize
|
|
!
|
|
! local variables
|
|
!
|
|
integer :: isymq, sna, snb, irot, na, nb, ipol, jpol, lpol, kpol, &
|
|
iflb (nat, nat)
|
|
! counters, indices, work space
|
|
|
|
real(DP) :: arg
|
|
! the argument of the phase
|
|
|
|
complex(DP) :: phip (3, 3, nat, nat), work (3, 3), fase, faseq (48)
|
|
! work space, phase factors
|
|
!
|
|
! We start by imposing hermiticity
|
|
!
|
|
do na = 1, nat
|
|
do nb = 1, nat
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
phi (ipol, jpol, na, nb) = 0.5d0 * (phi (ipol, jpol, na, nb) &
|
|
+ CONJG(phi (jpol, ipol, nb, na) ) )
|
|
phi (jpol, ipol, nb, na) = CONJG(phi (ipol, jpol, na, nb) )
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!
|
|
! If no other symmetry is present we quit here
|
|
!
|
|
if ( (nsymq == 1) .and. (.not.minus_q) ) return
|
|
!
|
|
! Then we impose the symmetry q -> -q+G if present
|
|
!
|
|
if (minus_q) then
|
|
do na = 1, nat
|
|
do nb = 1, nat
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
work(:,:) = (0.d0, 0.d0)
|
|
sna = irt (irotmq, na)
|
|
snb = irt (irotmq, nb)
|
|
arg = 0.d0
|
|
do kpol = 1, 3
|
|
arg = arg + (xq (kpol) * (rtau (kpol, irotmq, na) - &
|
|
rtau (kpol, irotmq, nb) ) )
|
|
enddo
|
|
arg = arg * tpi
|
|
fase = CMPLX(cos (arg), sin (arg) ,kind=DP)
|
|
do kpol = 1, 3
|
|
do lpol = 1, 3
|
|
work (ipol, jpol) = work (ipol, jpol) + &
|
|
s (ipol, kpol, irotmq) * s (jpol, lpol, irotmq) &
|
|
* phi (kpol, lpol, sna, snb) * fase
|
|
enddo
|
|
enddo
|
|
phip (ipol, jpol, na, nb) = (phi (ipol, jpol, na, nb) + &
|
|
CONJG( work (ipol, jpol) ) ) * 0.5d0
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
phi = phip
|
|
endif
|
|
|
|
!
|
|
! Here we symmetrize with respect to the small group of q
|
|
!
|
|
if (nsymq == 1) return
|
|
|
|
iflb (:, :) = 0
|
|
do na = 1, nat
|
|
do nb = 1, nat
|
|
if (iflb (na, nb) == 0) then
|
|
work(:,:) = (0.d0, 0.d0)
|
|
do isymq = 1, nsymq
|
|
irot = irgq (isymq)
|
|
sna = irt (irot, na)
|
|
snb = irt (irot, nb)
|
|
arg = 0.d0
|
|
do ipol = 1, 3
|
|
arg = arg + (xq (ipol) * (rtau (ipol, irot, na) - &
|
|
rtau (ipol, irot, nb) ) )
|
|
enddo
|
|
arg = arg * tpi
|
|
faseq (isymq) = CMPLX(cos (arg), sin (arg) ,kind=DP)
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
do kpol = 1, 3
|
|
do lpol = 1, 3
|
|
work (ipol, jpol) = work (ipol, jpol) + &
|
|
s (ipol, kpol, irot) * s (jpol, lpol, irot) &
|
|
* phi (kpol, lpol, sna, snb) * faseq (isymq)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
do isymq = 1, nsymq
|
|
irot = irgq (isymq)
|
|
sna = irt (irot, na)
|
|
snb = irt (irot, nb)
|
|
do ipol = 1, 3
|
|
do jpol = 1, 3
|
|
phi (ipol, jpol, sna, snb) = (0.d0, 0.d0)
|
|
do kpol = 1, 3
|
|
do lpol = 1, 3
|
|
phi (ipol, jpol, sna, snb) = phi (ipol, jpol, sna, snb) &
|
|
+ s (ipol, kpol, invs (irot) ) * s (jpol, lpol, invs (irot) ) &
|
|
* work (kpol, lpol) * CONJG(faseq (isymq) )
|
|
enddo
|
|
enddo
|
|
enddo
|
|
enddo
|
|
iflb (sna, snb) = 1
|
|
enddo
|
|
endif
|
|
enddo
|
|
enddo
|
|
phi (:, :, :, :) = phi (:, :, :, :) / DBLE(nsymq)
|
|
return
|
|
end subroutine symdynph_gq
|
|
|
|
!
|
|
! Copyright (C) 2001-2008 Quantum ESPRESSO group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!-----------------------------------------------------------------------
|
|
subroutine dynmatrix(iq_)
|
|
!-----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine is a driver which computes the symmetrized dynamical
|
|
!! matrix at q (and in the star of q) and diagonalizes it.
|
|
!! It writes the result on a iudyn file and writes the eigenvalues on
|
|
!! output.
|
|
!
|
|
!
|
|
USE kinds, ONLY : DP
|
|
USE constants, ONLY : FPI, BOHR_RADIUS_ANGS
|
|
USE ions_base, ONLY : nat, ntyp => nsp, ityp, tau, atm, amass, zv
|
|
USE io_global, ONLY : stdout
|
|
USE control_flags, ONLY : modenum
|
|
USE cell_base, ONLY : at, bg, celldm, ibrav, omega
|
|
USE symm_base, ONLY : s, sr, irt, nsym, time_reversal, invs
|
|
USE run_info, ONLY : title
|
|
USE dynmat, ONLY : dyn, w2
|
|
USE noncollin_module, ONLY : nspin_mag
|
|
USE modes, ONLY : u, nmodes, npert, nirr, name_rap_mode, num_rap_mode
|
|
USE gamma_gamma, ONLY : nasr, asr, equiv_atoms, has_equivalent, &
|
|
n_diff_sites
|
|
USE efield_mod, ONLY : epsilon, zstareu, zstarue0, zstarue
|
|
USE control_ph, ONLY : epsil, zue, lgamma_gamma, search_sym, ldisp, &
|
|
start_irr, last_irr, done_zue, where_rec, &
|
|
rec_code, ldiag, done_epsil, done_zeu, xmldyn, &
|
|
current_iq
|
|
USE ph_restart, ONLY : ph_writefile
|
|
USE partial, ONLY : all_comp, comp_irr, done_irr, nat_todo_input
|
|
USE units_ph, ONLY : iudyn
|
|
USE noncollin_module, ONLY : m_loc, nspin_mag
|
|
USE output, ONLY : fildyn, fildrho, fildvscf
|
|
USE io_dyn_mat, ONLY : write_dyn_mat_header
|
|
USE ramanm, ONLY : lraman, ramtns
|
|
USE dfile_star, ONLY : write_dfile_star, drho_star, dvscf_star !write_dfile_mq
|
|
USE units_ph, ONLY : iudrho, iudvscf
|
|
|
|
USE lr_symm_base, ONLY : minus_q, irotmq, nsymq, irgq, rtau
|
|
USE qpoint, ONLY : xq
|
|
USE control_lr, ONLY : lgamma
|
|
|
|
implicit none
|
|
INTEGER, INTENT(IN) :: iq_
|
|
! local variables
|
|
!
|
|
integer :: nq, isq (48), imq, na, nt, imode0, jmode0, irr, jrr, &
|
|
ipert, jpert, mu, nu, i, j, nqq, ierr
|
|
! nq : degeneracy of the star of q
|
|
! isq: index of q in the star of a given sym.op.
|
|
! imq: index of -q in the star of q (0 if not present)
|
|
|
|
real(DP) :: sxq (3, 48), work(3)
|
|
! list of vectors in the star of q
|
|
real(DP), allocatable :: zstar(:,:,:)
|
|
integer :: icart, jcart
|
|
logical :: ldiag_loc, opnd
|
|
!
|
|
call start_clock('dynmatrix')
|
|
ldiag_loc=ldiag.OR.(nat_todo_input > 0).OR.all_comp
|
|
!
|
|
! set all noncomputed elements to zero
|
|
!
|
|
if (.not.lgamma_gamma) then
|
|
imode0 = 0
|
|
do irr = 1, nirr
|
|
jmode0 = 0
|
|
do jrr = 1, nirr
|
|
if (.NOT.done_irr (irr) .and..NOT.done_irr (jrr) ) then
|
|
do ipert = 1, npert (irr)
|
|
mu = imode0 + ipert
|
|
do jpert = 1, npert (jrr)
|
|
nu = jmode0 + jpert
|
|
dyn (mu, nu) = CMPLX(0.d0, 0.d0,kind=DP)
|
|
enddo
|
|
enddo
|
|
elseif (.NOT.done_irr (irr) .and.done_irr (jrr) ) then
|
|
do ipert = 1, npert (irr)
|
|
mu = imode0 + ipert
|
|
do jpert = 1, npert (jrr)
|
|
nu = jmode0 + jpert
|
|
dyn (mu, nu) = CONJG(dyn (nu, mu) )
|
|
enddo
|
|
enddo
|
|
endif
|
|
jmode0 = jmode0 + npert (jrr)
|
|
enddo
|
|
imode0 = imode0 + npert (irr)
|
|
enddo
|
|
else
|
|
do irr = 1, nirr
|
|
if (.NOT.comp_irr(irr)) then
|
|
do nu=1,3*nat
|
|
dyn(irr,nu)=(0.d0,0.d0)
|
|
enddo
|
|
endif
|
|
enddo
|
|
endif
|
|
|
|
!
|
|
! Symmetrizes the dynamical matrix w.r.t. the small group of q
|
|
!
|
|
IF (lgamma_gamma) THEN
|
|
CALL generate_dynamical_matrix (nat, nsym, s, invs, irt, at, bg, &
|
|
n_diff_sites, equiv_atoms, has_equivalent, dyn)
|
|
IF (asr) CALL set_asr_c(nat,nasr,dyn)
|
|
ELSE
|
|
CALL symdyn_munu (dyn, u, xq, s, invs, rtau, irt, irgq, at, bg, &
|
|
nsymq, nat, irotmq, minus_q)
|
|
ENDIF
|
|
!
|
|
! if only one mode is computed write the dynamical matrix and stop
|
|
!
|
|
if (modenum .ne. 0) then
|
|
WRITE( stdout, '(/,5x,"Dynamical matrix:")')
|
|
do nu = 1, 3 * nat
|
|
WRITE( stdout, '(5x,2i5,2f10.6)') modenum, nu, dyn (modenum, nu)
|
|
enddo
|
|
call stop_ph (.true.)
|
|
endif
|
|
|
|
IF ( .NOT. ldiag_loc ) THEN
|
|
DO irr=0,nirr
|
|
IF (.NOT.done_irr(irr)) THEN
|
|
IF (.not.ldisp) THEN
|
|
WRITE(stdout, '(/,5x,"Stopping because representation", &
|
|
& i5, " is not done")') irr
|
|
CALL close_phq(.TRUE.)
|
|
CALL stop_ph(.TRUE.)
|
|
ELSE
|
|
WRITE(stdout, '(/5x,"Not diagonalizing because representation", &
|
|
& i5, " is not done")') irr
|
|
END IF
|
|
RETURN
|
|
ENDIF
|
|
ENDDO
|
|
ldiag_loc=.TRUE.
|
|
ENDIF
|
|
!
|
|
! Generates the star of q
|
|
!
|
|
call star_q (xq, at, bg, nsym, s, invs, nq, sxq, isq, imq, .TRUE. )
|
|
!
|
|
! write on file information on the system
|
|
!
|
|
IF (xmldyn) THEN
|
|
nqq=nq
|
|
IF (imq==0) nqq=2*nq
|
|
IF (lgamma.AND.done_epsil.AND.done_zeu) THEN
|
|
CALL write_dyn_mat_header( fildyn, ntyp, nat, ibrav, nspin_mag, &
|
|
celldm, at, bg, omega, atm, amass, tau, ityp, m_loc, &
|
|
nqq, epsilon, zstareu, lraman, ramtns)
|
|
ELSE
|
|
CALL write_dyn_mat_header( fildyn, ntyp, nat, ibrav, nspin_mag, &
|
|
celldm, at, bg, omega, atm, amass, tau,ityp,m_loc,nqq)
|
|
ENDIF
|
|
ELSE
|
|
CALL write_old_dyn_mat_head(iudyn)
|
|
ENDIF
|
|
!
|
|
! Rotates and writes on iudyn the dynamical matrices of the star of q
|
|
!
|
|
call q2qstar_ph (dyn, at, bg, nat, nsym, s, invs, irt, rtau, &
|
|
nq, sxq, isq, imq, iudyn)
|
|
|
|
! Rotates and write drho_q* (to be improved)
|
|
IF(drho_star%open) THEN
|
|
INQUIRE (UNIT = iudrho, OPENED = opnd)
|
|
IF (opnd) CLOSE(UNIT = iudrho, STATUS='keep')
|
|
CALL write_dfile_star(drho_star, fildrho, nsym, xq, u, nq, sxq, isq, &
|
|
s, sr, invs, irt, ntyp, ityp,(imq==0), -1 )
|
|
ENDIF
|
|
IF(dvscf_star%open) THEN
|
|
INQUIRE (UNIT = iudvscf, OPENED = opnd)
|
|
IF (opnd) CLOSE(UNIT = iudvscf, STATUS='keep')
|
|
CALL write_dfile_star(dvscf_star, fildvscf, nsym, xq, u, nq, sxq, isq, &
|
|
s, sr, invs, irt, ntyp, ityp,(imq==0), iq_ )
|
|
ENDIF
|
|
!
|
|
! Writes (if the case) results for quantities involving electric field
|
|
!
|
|
if (epsil) call write_epsilon_and_zeu (zstareu, epsilon, nat, iudyn)
|
|
IF (zue.AND..NOT.done_zue) THEN
|
|
done_zue=.TRUE.
|
|
IF (lgamma_gamma) THEN
|
|
ALLOCATE(zstar(3,3,nat))
|
|
zstar(:,:,:) = 0.d0
|
|
DO jcart = 1, 3
|
|
DO mu = 1, 3 * nat
|
|
na = (mu - 1) / 3 + 1
|
|
icart = mu - 3 * (na - 1)
|
|
zstar(jcart, icart, na) = zstarue0 (mu, jcart)
|
|
ENDDO
|
|
DO na=1,nat
|
|
work(:)=0.0_DP
|
|
DO icart=1,3
|
|
work(icart)=zstar(jcart,1,na)*at(1,icart)+ &
|
|
zstar(jcart,2,na)*at(2,icart)+ &
|
|
zstar(jcart,3,na)*at(3,icart)
|
|
ENDDO
|
|
zstar(jcart,:,na)=work(:)
|
|
ENDDO
|
|
ENDDO
|
|
CALL generate_effective_charges_c ( nat, nsym, s, invs, irt, at, bg, &
|
|
n_diff_sites, equiv_atoms, has_equivalent, asr, nasr, zv, ityp, &
|
|
ntyp, atm, zstar )
|
|
DO na=1,nat
|
|
do icart=1,3
|
|
zstarue(:,na,icart)=zstar(:,icart,na)
|
|
ENDDO
|
|
ENDDO
|
|
CALL summarize_zue()
|
|
DEALLOCATE(zstar)
|
|
ELSE
|
|
CALL sym_and_write_zue
|
|
ENDIF
|
|
ELSEIF (lgamma) THEN
|
|
IF (done_zue) CALL summarize_zue()
|
|
ENDIF
|
|
|
|
if (lraman) call write_ramtns (iudyn, ramtns)
|
|
!
|
|
! Diagonalizes the dynamical matrix at q
|
|
!
|
|
IF (ldiag_loc) THEN
|
|
call dyndia (xq, nmodes, nat, ntyp, ityp, amass, iudyn, dyn, w2)
|
|
IF (search_sym) CALL find_mode_sym (dyn, w2, at, bg, tau, nat, nsymq, sr,&
|
|
irt, xq, rtau, amass, ntyp, ityp, 1, lgamma, lgamma_gamma, &
|
|
nspin_mag, name_rap_mode, num_rap_mode)
|
|
END IF
|
|
!
|
|
! Here we save the dynamical matrix and the effective charges dP/du on
|
|
! the recover file. If a recover file with this very high recover code
|
|
! is found only the final result is rewritten on output.
|
|
!
|
|
rec_code=30
|
|
where_rec='dynmatrix.'
|
|
CALL ph_writefile('status_ph',current_iq,0,ierr)
|
|
|
|
call stop_clock('dynmatrix')
|
|
return
|
|
end subroutine dynmatrix
|
|
!
|
|
! Copyright (C) 2001-2008 Quantum ESPRESSO group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!-----------------------------------------------------------------------
|
|
subroutine sgam_ph (at, bg, nsym, s, irt, tau, rtau, nat, sym)
|
|
!-----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This routine computes the vector \(\text{rtau}\) which contains for each
|
|
!! atom and each rotation the vector \(S\tau_a - \tau_b\), where
|
|
!! \(b\) is the rotated \(a\) atom, given by the array \(\text{irt}. These
|
|
!! \(\text{rtau}\) are non zero only if fractional translations are
|
|
!! present.
|
|
!
|
|
USE kinds, ONLY : DP
|
|
implicit none
|
|
!
|
|
! first the dummy variables
|
|
!
|
|
integer, intent(in) :: nsym, s (3, 3, 48), nat, irt (48, nat)
|
|
! nsym: number of symmetries of the point group
|
|
! s: matrices of symmetry operations
|
|
! nat : number of atoms in the unit cell
|
|
! irt(n,m) = transformed of atom m for symmetry n
|
|
real(DP), intent(in) :: at (3, 3), bg (3, 3), tau (3, nat)
|
|
! at: direct lattice vectors
|
|
! bg: reciprocal lattice vectors
|
|
! tau: coordinates of the atoms
|
|
logical, intent(in) :: sym (nsym)
|
|
! sym(n)=.true. if operation n is a symmetry
|
|
real(DP), intent(out):: rtau (3, 48, nat)
|
|
! rtau: the direct translations
|
|
!
|
|
! here the local variables
|
|
!
|
|
integer :: na, nb, isym, ipol
|
|
! counters on: atoms, symmetry operations, polarization
|
|
real(DP) , allocatable :: xau (:,:)
|
|
real(DP) :: ft (3)
|
|
!
|
|
allocate (xau(3,nat))
|
|
!
|
|
! compute the atomic coordinates in crystal axis, xau
|
|
!
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
xau (ipol, na) = bg (1, ipol) * tau (1, na) + &
|
|
bg (2, ipol) * tau (2, na) + &
|
|
bg (3, ipol) * tau (3, na)
|
|
enddo
|
|
enddo
|
|
!
|
|
! for each symmetry operation, compute the atomic coordinates
|
|
! of the rotated atom, ft, and calculate rtau = Stau'-tau
|
|
!
|
|
rtau(:,:,:) = 0.0_dp
|
|
do isym = 1, nsym
|
|
if (sym (isym) ) then
|
|
do na = 1, nat
|
|
nb = irt (isym, na)
|
|
do ipol = 1, 3
|
|
ft (ipol) = s (1, ipol, isym) * xau (1, na) + &
|
|
s (2, ipol, isym) * xau (2, na) + &
|
|
s (3, ipol, isym) * xau (3, na) - xau (ipol, nb)
|
|
enddo
|
|
do ipol = 1, 3
|
|
rtau (ipol, isym, na) = at (ipol, 1) * ft (1) + &
|
|
at (ipol, 2) * ft (2) + &
|
|
at (ipol, 3) * ft (3)
|
|
enddo
|
|
enddo
|
|
endif
|
|
enddo
|
|
!
|
|
! deallocate workspace
|
|
!
|
|
deallocate(xau)
|
|
return
|
|
end subroutine sgam_ph
|
|
!
|
|
!
|
|
! Copyright (C) 2001 PWSCF group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
!
|
|
!----------------------------------------------------------------------
|
|
subroutine random_matrix (irt, irgq, nsymq, minus_q, irotmq, nat, &
|
|
wdyn, lgamma)
|
|
!----------------------------------------------------------------------
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! Create a random hermitian matrix with non zero elements similar to
|
|
!! the dynamical matrix of the system.
|
|
!
|
|
!
|
|
USE kinds, only : DP
|
|
USE random_numbers, ONLY : randy
|
|
implicit none
|
|
!
|
|
! The dummy variables
|
|
!
|
|
|
|
integer :: nat, irt (48, nat), irgq (48), nsymq, irotmq
|
|
! input: number of atoms
|
|
! input: index of the rotated atom
|
|
! input: the small group of q
|
|
! input: the order of the small group
|
|
! input: the rotation sending q -> -q
|
|
|
|
complex(DP) :: wdyn (3, 3, nat, nat)
|
|
! output: random matrix
|
|
logical :: lgamma, minus_q
|
|
! input: if true q=0
|
|
! input: if true there is a symmetry
|
|
!
|
|
! The local variables
|
|
!
|
|
integer :: na, nb, ipol, jpol, isymq, irot, ira, iramq
|
|
! counters
|
|
! ira: rotated atom
|
|
! iramq: rotated atom with the q->-q+G symmetry
|
|
!
|
|
!
|
|
wdyn (:, :, :, :) = (0d0, 0d0)
|
|
do na = 1, nat
|
|
do ipol = 1, 3
|
|
wdyn (ipol, ipol, na, na) = CMPLX(2 * randy () - 1, 0.d0,kind=DP)
|
|
do jpol = ipol + 1, 3
|
|
if (lgamma) then
|
|
wdyn (ipol, jpol, na, na) = CMPLX(2 * randy () - 1, 0.d0,kind=DP)
|
|
else
|
|
wdyn (ipol, jpol, na, na) = &
|
|
CMPLX(2 * randy () - 1, 2 * randy () - 1,kind=DP)
|
|
endif
|
|
wdyn (jpol, ipol, na, na) = CONJG(wdyn (ipol, jpol, na, na) )
|
|
enddo
|
|
do nb = na + 1, nat
|
|
do isymq = 1, nsymq
|
|
irot = irgq (isymq)
|
|
ira = irt (irot, na)
|
|
if (minus_q) then
|
|
iramq = irt (irotmq, na)
|
|
else
|
|
iramq = 0
|
|
endif
|
|
if ( (nb == ira) .or. (nb == iramq) ) then
|
|
do jpol = 1, 3
|
|
if (lgamma) then
|
|
wdyn (ipol, jpol, na, nb) = CMPLX(2*randy () - 1, 0.d0,kind=DP)
|
|
else
|
|
wdyn (ipol, jpol, na, nb) = &
|
|
CMPLX(2*randy () - 1, 2*randy () - 1,kind=DP)
|
|
endif
|
|
wdyn(jpol, ipol, nb, na) = CONJG(wdyn(ipol, jpol, na, nb))
|
|
enddo
|
|
goto 10
|
|
endif
|
|
enddo
|
|
10 continue
|
|
enddo
|
|
enddo
|
|
enddo
|
|
return
|
|
end subroutine random_matrix
|
|
|
|
!
|
|
! Copyright (C) 2006-2011 Quantum ESPRESSO group
|
|
! This file is distributed under the terms of the
|
|
! GNU General Public License. See the file `License'
|
|
! in the root directory of the present distribution,
|
|
! or http://www.gnu.org/copyleft/gpl.txt .
|
|
!
|
|
SUBROUTINE find_mode_sym (u, w2, at, bg, tau, nat, nsym, sr, irt, xq, &
|
|
rtau, amass, ntyp, ityp, flag, lri, lmolecule, nspin_mag, &
|
|
name_rap_mode, num_rap_mode)
|
|
!
|
|
!! -- OBSOLETE (kept for compatibility) --
|
|
!! This subroutine finds the irreducible representations which give
|
|
!! the transformation properties of eigenvectors of the dynamical
|
|
!! matrix. It does NOT work at zone border in non symmorphic space groups.
|
|
!! if flag=1 the true displacements are given in input, otherwise the
|
|
!! eigenvalues of the dynamical matrix are given.
|
|
!
|
|
!
|
|
USE io_global, ONLY : stdout
|
|
USE kinds, ONLY : DP
|
|
USE constants, ONLY : amu_ry, RY_TO_CMM1
|
|
USE rap_point_group, ONLY : code_group, nclass, nelem, elem, which_irr, &
|
|
char_mat, name_rap, name_class, gname, ir_ram
|
|
USE rap_point_group_is, ONLY : gname_is
|
|
IMPLICIT NONE
|
|
|
|
INTEGER, INTENT(IN) :: &
|
|
nat, &
|
|
nsym, &
|
|
flag, &
|
|
ntyp, &
|
|
nspin_mag, &
|
|
ityp(nat), &
|
|
irt(48,nat)
|
|
|
|
REAL(DP), INTENT(IN) :: &
|
|
at(3,3), &
|
|
bg(3,3), &
|
|
xq(3), &
|
|
tau(3,nat), &
|
|
rtau(3,48,nat), &
|
|
amass(ntyp), &
|
|
w2(3*nat), &
|
|
sr(3,3,48)
|
|
|
|
COMPLEX(DP), INTENT(IN) :: &
|
|
u(3*nat, 3*nat) ! The eigenvectors or the displacement pattern
|
|
LOGICAL, INTENT(IN) :: lri ! if .true. print the Infrared/Raman flag
|
|
LOGICAL, INTENT(IN) :: lmolecule ! if .true. these are eigenvalues of an
|
|
! isolated system
|
|
|
|
CHARACTER(15), INTENT(OUT) :: name_rap_mode( 3 * nat )
|
|
INTEGER, INTENT(OUT) :: num_rap_mode ( 3 * nat )
|
|
|
|
REAL(DP), PARAMETER :: eps=1.d-5
|
|
|
|
INTEGER :: &
|
|
ngroup, & ! number of different frequencies groups
|
|
nmodes, & ! number of modes
|
|
imode, imode1, igroup, dim_rap, nu_i, &
|
|
irot, irap, iclass, mu, na, i
|
|
|
|
INTEGER, ALLOCATABLE :: istart(:)
|
|
|
|
COMPLEX(DP) :: times ! safe dimension
|
|
! in case of accidental degeneracy
|
|
COMPLEX(DP), EXTERNAL :: zdotc
|
|
REAL(DP), ALLOCATABLE :: w1(:)
|
|
COMPLEX(DP), ALLOCATABLE :: rmode(:,:), trace(:,:), z(:,:)
|
|
LOGICAL :: is_linear
|
|
CHARACTER(3) :: cdum
|
|
INTEGER :: counter, counter_s
|
|
!
|
|
! Divide the modes on the basis of the mode degeneracy.
|
|
!
|
|
nmodes=3*nat
|
|
|
|
ALLOCATE(istart(nmodes+1))
|
|
ALLOCATE(z(nmodes,nmodes))
|
|
ALLOCATE(w1(nmodes))
|
|
ALLOCATE(rmode(nmodes,nmodes))
|
|
ALLOCATE(trace(48,nmodes))
|
|
|
|
IF (flag==1) THEN
|
|
!
|
|
! Find the eigenvalues of the dynmaical matrix
|
|
! Note that amass is in amu; amu_ry converts it to Ry au
|
|
!
|
|
DO nu_i = 1, nmodes
|
|
DO mu = 1, nmodes
|
|
na = (mu - 1) / 3 + 1
|
|
z (mu, nu_i) = u (mu, nu_i) * SQRT (amu_ry*amass (ityp (na) ) )
|
|
END DO
|
|
END DO
|
|
ELSE
|
|
z=u
|
|
ENDIF
|
|
|
|
DO imode=1,nmodes
|
|
w1(imode)=SIGN(SQRT(ABS(w2(imode)))*RY_TO_CMM1,w2(imode))
|
|
ENDDO
|
|
|
|
ngroup=1
|
|
istart(ngroup)=1
|
|
imode1=1
|
|
IF (lmolecule) THEN
|
|
istart(ngroup)=7
|
|
imode1=6
|
|
IF(is_linear(nat,tau)) istart(ngroup)=6
|
|
ENDIF
|
|
DO imode=imode1+1,nmodes
|
|
IF (ABS(w1(imode)-w1(imode-1)) > 5.0d-2) THEN
|
|
ngroup=ngroup+1
|
|
istart(ngroup)=imode
|
|
END IF
|
|
END DO
|
|
istart(ngroup+1)=nmodes+1
|
|
!
|
|
! Find the character of one symmetry operation per class
|
|
!
|
|
DO igroup=1,ngroup
|
|
dim_rap=istart(igroup+1)-istart(igroup)
|
|
DO iclass=1,nclass
|
|
irot=elem(1,iclass)
|
|
trace(iclass,igroup)=(0.d0,0.d0)
|
|
DO i=1,dim_rap
|
|
nu_i=istart(igroup)+i-1
|
|
CALL rotate_mod(z,rmode,sr(1,1,irot),irt,rtau,xq,nat,irot)
|
|
trace(iclass,igroup)=trace(iclass,igroup) + &
|
|
zdotc(3*nat,z(1,nu_i),1,rmode(1,nu_i),1)
|
|
END DO
|
|
! write(6,*) igroup,iclass, trace(iclass,igroup)
|
|
END DO
|
|
END DO
|
|
!
|
|
! And now use the character table to identify the symmetry representation
|
|
! of each group of modes
|
|
!
|
|
IF (nspin_mag==4) THEN
|
|
IF (flag==1) WRITE(stdout, &
|
|
'(/,5x,"Mode symmetry, ",a11," [",a11,"] magnetic point group:",/)') &
|
|
gname, gname_is
|
|
ELSE
|
|
IF (flag==1) WRITE(stdout,'(/,5x,"Mode symmetry, ",a11," point group:",/)') gname
|
|
END IF
|
|
num_rap_mode=-1
|
|
counter=1
|
|
DO igroup=1,ngroup
|
|
IF (ABS(w1(istart(igroup)))<1.d-3) CYCLE
|
|
DO irap=1,nclass
|
|
times=(0.d0,0.d0)
|
|
DO iclass=1,nclass
|
|
times=times+CONJG(trace(iclass,igroup))*char_mat(irap, &
|
|
which_irr(iclass))*nelem(iclass)
|
|
! write(6,*) igroup, irap, iclass, which_irr(iclass)
|
|
ENDDO
|
|
times=times/nsym
|
|
cdum=" "
|
|
IF (lri) cdum=ir_ram(irap)
|
|
IF ((ABS(NINT(DBLE(times))-DBLE(times)) > 1.d-4).OR. &
|
|
(ABS(AIMAG(times)) > eps) ) THEN
|
|
IF (flag==1) WRITE(stdout,'(5x,"omega(",i3," -",i3,") = ",f12.1,2x,"[cm-1]",3x, "--> ?")') &
|
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istart(igroup), istart(igroup+1)-1, w1(istart(igroup))
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ENDIF
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IF (ABS(times) > eps) THEN
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IF (ABS(NINT(DBLE(times))-1.d0) < 1.d-4) THEN
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IF (flag==1) WRITE(stdout,'(5x, "omega(",i3," -",i3,") = ",f12.1,2x,"[cm-1]",3x,"--> ",a19)') &
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istart(igroup), istart(igroup+1)-1, w1(istart(igroup)), &
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name_rap(irap)//" "//cdum
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name_rap_mode(igroup)=name_rap(irap)
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counter_s=counter
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DO imode=counter_s, counter_s+NINT(DBLE(char_mat(irap,1)))-1
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IF (imode <= 3*nat) num_rap_mode(imode) = irap
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counter=counter+1
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ENDDO
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ELSE
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IF (flag==1) WRITE(stdout,'(5x,"omega(",i3," -",i3,") = ",f12.1,2x,"[cm-1]",3x,"--> ",i3,a19)') &
|
|
istart(igroup), istart(igroup+1)-1, &
|
|
w1(istart(igroup)), NINT(DBLE(times)), &
|
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name_rap(irap)//" "//cdum
|
|
name_rap_mode(igroup)=name_rap(irap)
|
|
counter_s=counter
|
|
DO imode=counter_s, counter_s+NINT(DBLE(times))*&
|
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NINT(DBLE(char_mat(irap,1)))-1
|
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IF (imode <= 3 * nat) num_rap_mode(imode) = irap
|
|
counter=counter+1
|
|
ENDDO
|
|
END IF
|
|
END IF
|
|
END DO
|
|
END DO
|
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IF (flag==1) WRITE( stdout, '(/,1x,74("*"))')
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|
|
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DEALLOCATE(trace)
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DEALLOCATE(z)
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DEALLOCATE(w1)
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DEALLOCATE(rmode)
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DEALLOCATE(istart)
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|
|
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RETURN
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END SUBROUTINE find_mode_sym
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