quantum-espresso/PH/dvqpsi_us.f90

210 lines
6.3 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 .
!
!
!----------------------------------------------------------------------
subroutine dvqpsi_us (ik, mode, uact, addnlcc)
!----------------------------------------------------------------------
!
! This routine calculates dV_bare/dtau * psi for one perturbation
! with a given q. The displacements are described by a vector u.
! The result is stored in dvpsi. The routine is called for each k point
! and for each pattern u. It computes simultaneously all the bands.
! It implements Eq. B29 of PRB 64, 235118 (2001). The contribution
! of the local pseudopotential is calculated here, that of the nonlocal
! pseudopotential in dvqpsi_us_only.
!
#include "f_defs.h"
!
USE kinds, only : DP
USE ions_base, ONLY : nat, ityp
USE cell_base, ONLY : tpiba
USE gvect, ONLY : nrxx, eigts1, eigts2, eigts3, ig1,ig2,ig3, g, nl, &
ngm, nr1,nr2,nr3,nrx1,nrx2,nrx3
USE gsmooth, ONLY : nrxxs, ngms, doublegrid, nls, &
nr1s, nr2s, nr3s, nrx1s, nrx2s, nrx3s
USE lsda_mod, ONLY : lsda, isk
USE noncollin_module, ONLY : npol
use uspp_param,ONLY : upf
USE wvfct, ONLY : nbnd, npw, npwx, igk
USE wavefunctions_module, ONLY: evc
USE nlcc_ph, ONLY : nlcc_any, drc
USE eqv, ONLY : dvpsi, dmuxc, vlocq
USE qpoint, ONLY : npwq, igkq, xq, eigqts, ikks
implicit none
!
! The dummy variables
!
integer :: ik, mode
! input: the k point
! input: the actual perturbation
complex(DP) :: uact (3 * nat)
! input: the pattern of displacements
logical :: addnlcc
!
! And the local variables
!
integer :: na, mu, ikk, ig, nt, ibnd, ir, is, ip
! counter on atoms
! counter on modes
! the point k
! counter on G vectors
! the type of atom
! counter on bands
! counter on real mesh
complex(DP) :: gtau, gu, fact, u1, u2, u3, gu0
complex(DP) , allocatable, target :: aux (:)
complex(DP) , allocatable :: aux1 (:), aux2 (:)
complex(DP) , pointer :: auxs (:)
! work space
call start_clock ('dvqpsi_us')
if (nlcc_any.and.addnlcc) then
allocate (aux( nrxx))
if (doublegrid) then
allocate (auxs( nrxxs))
else
auxs => aux
endif
endif
allocate (aux1( nrxxs))
allocate (aux2( nrxxs))
!
! We start by computing the contribution of the local potential.
! The computation of the derivative of the local potential is done in
! reciprocal space while the product with the wavefunction is done in
! real space
!
ikk = ikks(ik)
dvpsi(:,:) = (0.d0, 0.d0)
aux1(:) = (0.d0, 0.d0)
do na = 1, nat
fact = tpiba * (0.d0, -1.d0) * eigqts (na)
mu = 3 * (na - 1)
if (abs (uact (mu + 1) ) + abs (uact (mu + 2) ) + abs (uact (mu + &
3) ) .gt.1.0d-12) then
nt = ityp (na)
u1 = uact (mu + 1)
u2 = uact (mu + 2)
u3 = uact (mu + 3)
gu0 = xq (1) * u1 + xq (2) * u2 + xq (3) * u3
do ig = 1, ngms
gtau = eigts1 (ig1 (ig), na) * eigts2 (ig2 (ig), na) * eigts3 ( &
ig3 (ig), na)
gu = gu0 + g (1, ig) * u1 + g (2, ig) * u2 + g (3, ig) * u3
aux1 (nls (ig) ) = aux1 (nls (ig) ) + vlocq (ig, nt) * gu * &
fact * gtau
enddo
endif
enddo
!
! add NLCC when present
!
if (nlcc_any.and.addnlcc) then
aux(:) = (0.d0, 0.d0)
do na = 1,nat
fact = tpiba*(0.d0,-1.d0)*eigqts(na)
mu = 3*(na-1)
if (abs(uact(mu+1))+abs(uact(mu+2)) &
+abs(uact(mu+3)).gt.1.0d-12) then
nt=ityp(na)
u1 = uact(mu+1)
u2 = uact(mu+2)
u3 = uact(mu+3)
gu0 = xq(1)*u1 +xq(2)*u2+xq(3)*u3
if (upf(nt)%nlcc) then
do ig = 1,ngm
gtau = eigts1(ig1(ig),na)* &
eigts2(ig2(ig),na)* &
eigts3(ig3(ig),na)
gu = gu0+g(1,ig)*u1+g(2,ig)*u2+g(3,ig)*u3
aux(nl(ig))=aux(nl(ig))+drc(ig,nt)*gu*fact*gtau
enddo
endif
endif
enddo
call cft3(aux,nr1,nr2,nr3,nrx1,nrx2,nrx3,+1)
if (.not.lsda) then
do ir=1,nrxx
aux(ir) = aux(ir) * dmuxc(ir,1,1)
end do
else
is=isk(ikk)
do ir=1,nrxx
aux(ir) = aux(ir) * 0.5d0 * &
(dmuxc(ir,is,1)+dmuxc(ir,is,2))
enddo
endif
call cft3(aux,nr1,nr2,nr3,nrx1,nrx2,nrx3,-1)
if (doublegrid) then
auxs(:) = (0.d0, 0.d0)
do ig=1,ngms
auxs(nls(ig)) = aux(nl(ig))
enddo
endif
aux1(:) = aux1(:) + auxs(:)
endif
!
! Now we compute dV_loc/dtau in real space
!
call cft3s (aux1, nr1s, nr2s, nr3s, nrx1s, nrx2s, nrx3s, + 1)
do ibnd = 1, nbnd
do ip=1,npol
aux2(:) = (0.d0, 0.d0)
if (ip==1) then
do ig = 1, npw
aux2 (nls (igk (ig) ) ) = evc (ig, ibnd)
enddo
else
do ig = 1, npw
aux2 (nls (igk (ig) ) ) = evc (ig+npwx, ibnd)
enddo
end if
!
! This wavefunction is computed in real space
!
call cft3s (aux2, nr1s, nr2s, nr3s, nrx1s, nrx2s, nrx3s, + 2)
do ir = 1, nrxxs
aux2 (ir) = aux2 (ir) * aux1 (ir)
enddo
!
! and finally dV_loc/dtau * psi is transformed in reciprocal space
!
call cft3s (aux2, nr1s, nr2s, nr3s, nrx1s, nrx2s, nrx3s, - 2)
if (ip==1) then
do ig = 1, npwq
dvpsi (ig, ibnd) = aux2 (nls (igkq (ig) ) )
enddo
else
do ig = 1, npwq
dvpsi (ig+npwx, ibnd) = aux2 (nls (igkq (ig) ) )
enddo
end if
enddo
enddo
!
deallocate (aux2)
deallocate (aux1)
if (nlcc_any.and.addnlcc) then
deallocate (aux)
if (doublegrid) deallocate (auxs)
endif
!
! We add the contribution of the nonlocal potential in the US form
! First a term similar to the KB case.
! Then a term due to the change of the D coefficients.
!
call dvqpsi_us_only (ik, mode, uact)
call stop_clock ('dvqpsi_us')
return
end subroutine dvqpsi_us