quantum-espresso/PW/addusstress.f90

143 lines
4.4 KiB
Fortran

!
! Copyright (C) 2001-2007 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 .
!
#include "f_defs.h"
!----------------------------------------------------------------------
subroutine addusstres (sigmanlc)
!----------------------------------------------------------------------
!
! This routine computes the part of the atomic force which is due
! to the dependence of the Q function on the atomic position.
!
USE kinds, ONLY : DP
USE ions_base, ONLY : nat, ntyp => nsp, ityp
USE cell_base, ONLY : omega, tpiba
USE gvect, ONLY : nr1, nr2, nr3, nrx1, nrx2, nrx3, nrxx, ngm, &
nl, nlm, gg, g, eigts1, eigts2, eigts3, ig1, ig2, ig3
USE lsda_mod, ONLY : nspin
USE scf, ONLY : v, vltot
USE uspp, ONLY : becsum, okvan
USE uspp_param, ONLY : upf, lmaxq, nh, nhm
USE control_flags, ONLY : gamma_only
!
implicit none
!
real(DP) :: sigmanlc (3, 3)
! the nonlocal stress
integer :: ig, nt, ih, jh, ijh, ipol, jpol, is, na
! counter on g vectors
! counter on mesh points
! number of composite nm components
! the atom type
! counter on atomic beta functions
! counter on atomic beta functions
! composite index for beta function
! counter on polarizations
! counter on polarizations
! counter on spin polarizations
! counter on atoms
complex(DP), allocatable :: aux(:,:), aux1(:), vg(:), qgm(:)
complex(DP) :: cfac
! used to contain the potential
! used to compute a product
! used to contain the structure fac
real(DP) :: ps, DDOT, sus(3,3)
real(DP) , allocatable :: qmod(:), ylmk0(:,:), dylmk0(:,:)
! the integral
! the ultrasoft part of the stress
! the modulus of G
! the spherical harmonics
! the spherical harmonics derivativ
! of V_eff and dQ
! function which compute the scal.
allocate ( aux(ngm,nspin), aux1(ngm), vg(nrxx), qgm(ngm), qmod(ngm) )
allocate ( ylmk0(ngm,lmaxq*lmaxq), dylmk0(ngm,lmaxq*lmaxq) )
!
sus(:,:) = 0.d0
!
call ylmr2 (lmaxq * lmaxq, ngm, g, gg, ylmk0)
do ig = 1, ngm
qmod (ig) = sqrt (gg (ig) )
enddo
!
! fourier transform of the total effective potential
!
do is = 1, nspin
if ( nspin == 4 .and. is /= 1 ) then
!
vg(:) = v%of_r(:,is)
!
ELSE
!
vg(:) = vltot(:) + v%of_r(:,is)
!
END IF
call cft3 (vg, nr1, nr2, nr3, nrx1, nrx2, nrx3, - 1)
do ig = 1, ngm
aux (ig, is) = vg (nl (ig) )
enddo
enddo
!
! here we compute the integral Q*V for each atom,
! I = sum_G i G_a exp(-iR.G) Q_nm v^*
! (no contribution from G=0)
!
do ipol = 1, 3
call dylmr2 (lmaxq * lmaxq, ngm, g, gg, dylmk0, ipol)
do nt = 1, ntyp
if ( upf(nt)%tvanp ) then
ijh = 1
do ih = 1, nh (nt)
do jh = ih, nh (nt)
call dqvan2 (ngm, ih, jh, nt, qmod, qgm, ylmk0, dylmk0, ipol)
do na = 1, nat
if (ityp (na) == nt) then
!
do is = 1, nspin
do jpol = 1, ipol
do ig = 1, ngm
cfac = aux (ig, is) * &
CONJG( eigts1 (ig1 (ig), na) * &
eigts2 (ig2 (ig), na) * &
eigts3 (ig3 (ig), na) )
aux1 (ig) = cfac * g (jpol, ig)
enddo
!
! and the product with the Q functions
!
ps = omega * DDOT (2 * ngm, aux1, 1, qgm, 1)
sus (ipol, jpol) = sus (ipol, jpol) - &
ps * becsum (ijh, na, is)
enddo
enddo
endif
enddo
ijh = ijh + 1
enddo
enddo
endif
enddo
enddo
if (gamma_only) then
sigmanlc(:,:) = sigmanlc(:,:) + 2.d0*sus(:,:)
else
sigmanlc(:,:) = sigmanlc(:,:) + sus(:,:)
end if
deallocate (ylmk0, dylmk0)
deallocate (aux, aux1, vg, qgm, qmod)
return
end subroutine addusstres