quantum-espresso/PHonon/Gamma/a_h.f90

170 lines
4.8 KiB
Fortran

!
! Copyright (C) 2003 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 A_h(npw,e,h,ah)
!-----------------------------------------------------------------------
USE kinds, ONLY: DP
USE cell_base,ONLY : alat, omega, tpiba2
USE uspp, ONLY : vkb, nkb
USE lsda_mod, ONLY : current_spin, nspin
USE wvfct, ONLY: nbnd, npwx, g2kin
USE wavefunctions, ONLY: evc, psic
USE scf, ONLY : vrs, rho
USE fft_base, ONLY : dffts, dfftp
USE fft_interfaces, ONLY : fwfft, invfft
USE gvect, ONLY : gstart, g, gg
USE constants, ONLY: degspin, e2, fpi
USE becmod, ONLY: bec_type, becp, calbec
USE gc_lr, ONLY: grho, dvxc_rr, dvxc_sr, dvxc_ss, dvxc_s
USE cgcom, ONLY: auxr, aux2, aux3, dmuxc
USE xc_lib, ONLY: xclib_dft_is
!
IMPLICIT NONE
INTEGER :: npw, j, jkb, ibnd, na,nt,ih
real(DP) :: e(nbnd)
COMPLEX(DP) :: h(npwx,nbnd), ah(npwx,nbnd)
!
COMPLEX(DP) :: fp, fm
COMPLEX(DP), POINTER :: dpsic(:), drhoc(:)
REAL(dp), allocatable :: dv(:)
real(DP), POINTER :: drho(:)
!
CALL start_clock('a_h')
!
drho => auxr
dpsic => aux2
drhoc => aux3
!
drho(:) = 0.d0
!
! [(k+G)^2 - e ]psi
DO ibnd = 1,nbnd
! set to zero the imaginary part of h at G=0
! needed for numerical stability
IF (gstart==2) h(1,ibnd) = cmplx( dble(h(1,ibnd)),0.d0,kind=DP)
DO j = 1,npw
ah(j,ibnd) = (g2kin(j)-e(ibnd)) * h(j,ibnd)
ENDDO
ENDDO
! V_Loc psi
DO ibnd = 1,nbnd, 2
dpsic(:)= (0.d0, 0.d0)
psic(:) = (0.d0, 0.d0)
IF (ibnd<nbnd) THEN
! two ffts at the same time
DO j = 1,npw
psic (dfftp%nl (j)) = evc(j,ibnd) + (0.0d0,1.d0)* evc(j,ibnd+1)
dpsic(dfftp%nl (j)) = h(j,ibnd) + (0.0d0,1.d0)* h(j,ibnd+1)
psic (dfftp%nlm(j))= conjg(evc(j,ibnd)-(0.0d0,1.d0)* evc(j,ibnd+1))
dpsic(dfftp%nlm(j))= conjg( h(j,ibnd)-(0.0d0,1.d0)* h(j,ibnd+1))
ENDDO
ELSE
DO j = 1,npw
psic (dfftp%nl (j)) = evc(j,ibnd)
dpsic(dfftp%nl (j)) = h(j,ibnd)
psic (dfftp%nlm(j)) = conjg( evc(j,ibnd))
dpsic(dfftp%nlm(j)) = conjg( h(j,ibnd))
ENDDO
ENDIF
CALL invfft ('Wave', psic, dffts)
CALL invfft ('Wave',dpsic, dffts)
DO j = 1,dfftp%nnr
drho(j) = drho(j) - 2.0d0*degspin/omega * &
dble(psic(j)*conjg(dpsic(j)))
dpsic(j) = dpsic(j) * vrs(j,current_spin)
ENDDO
CALL fwfft ('Wave',dpsic, dffts)
IF (ibnd<nbnd) THEN
! two ffts at the same time
DO j = 1,npw
fp = (dpsic (dfftp%nl(j)) + dpsic (dfftp%nlm(j)))*0.5d0
fm = (dpsic (dfftp%nl(j)) - dpsic (dfftp%nlm(j)))*0.5d0
ah(j,ibnd ) = ah(j,ibnd) +cmplx( dble(fp), aimag(fm),kind=DP)
ah(j,ibnd+1) = ah(j,ibnd+1)+cmplx(aimag(fp),- dble(fm),kind=DP)
ENDDO
ELSE
DO j = 1,npw
ah(j,ibnd) = ah(j,ibnd) + dpsic (dfftp%nl(j))
ENDDO
ENDIF
ENDDO
!
! V_NL psi
CALL calbec ( npw, vkb, h, becp)
IF (nkb > 0) CALL add_vuspsi (npwx, npw, nbnd, ah)
!
DO j = 1,dfftp%nnr
drhoc(j) = cmplx(drho(j),0.d0,kind=DP)
ENDDO
CALL fwfft ('Rho', drhoc, dfftp)
DO j = 1,dfftp%ngm
dpsic(j) = drhoc(dfftp%nl(j))
ENDDO
!
! drho is deltarho(r)
! drhoc is deltarho(g) on the FFT grid
! dpsic is deltarho(g) on the G-vector grid
!
! mu'(n(r)) psi(r) delta psi(r)
!
ALLOCATE (dv(dfftp%nnr))
DO j = 1,dfftp%nnr
dv(j) = drho(j)*dmuxc(j,1,1)
ENDDO
!
! add gradient correction contribution (if any)
!
CALL start_clock('dgradcorr')
IF (xclib_dft_is('gradient') ) THEN
!
CALL dgradcor1 &
(dfftp, rho%of_r, grho, dvxc_rr, dvxc_sr, dvxc_ss, dvxc_s, &
drho, dpsic, nspin, g, dv)
!
ENDIF
CALL stop_clock('dgradcorr')
NULLIFY(dpsic)
NULLIFY (drho)
!
! 1/|r-r'| * psi(r') delta psi(r')
!
! gstart is the first nonzero G vector (needed for parallel execution)
!
IF (gstart==2) drhoc(dfftp%nl(1)) = 0.d0
!
DO j = gstart,dfftp%ngm
drhoc(dfftp%nl (j)) = e2*fpi*drhoc(dfftp%nl(j))/ (tpiba2*gg(j))
drhoc(dfftp%nlm(j)) = conjg(drhoc(dfftp%nl (j)))
ENDDO
CALL invfft ('Rho', drhoc, dfftp)
!
! drhoc now contains deltaV_hartree
!
DO j = 1,dfftp%nnr
dv(j) = - dv(j) - dble(drhoc(j))
ENDDO
!
CALL vloc_psi_gamma_acc(npwx, npw, nbnd, evc, dv, ah)
!
NULLIFY(drhoc)
DEALLOCATE (dv)
!
! set to zero the imaginary part of ah at G=0
! needed for numerical stability
IF (gstart==2) THEN
DO ibnd = 1, nbnd
ah(1,ibnd) = cmplx( dble(ah(1,ibnd)),0.d0,kind=DP)
ENDDO
ENDIF
!
CALL stop_clock('a_h')
!
RETURN
END SUBROUTINE A_h