quantum-espresso/CPV/qqberry.f90

280 lines
7.4 KiB
Fortran

!
! Copyright (C) 2002-2005 FPMD-CPV groups
! 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 qqberry2( gqq,gqqm, ipol)
! this subroutine computes the array gqq and gqqm
! gqq=int_dr qq(r)exp(iGr)=<Beta_r|exp(iGr)|Beta_r'>
! gqqm=int_dr qq(r)exp(-iGr)=<Beta_r|exp(-iGr)|Beta_r'>
! gqq output: as defined above
use smallbox_grid_dimensions, only: nr1b, nr2b, nr3b, &
nr1bx, nr2bx, nr3bx, nnrb => nnrbx
use uspp_param, only: upf, lmaxq, nbetam, nh, nhm, oldvan
use uspp, only: indv, lpx, lpl, ap,nhtolm
use atom, only: rgrid
use core
use gvecw, only: ngw
use reciprocal_vectors, only: mill_l
use constants
use cvan, only: nvb
use ions_base
use ions_base, only: nas => nax
use cell_base, only: a1, a2, a3
use reciprocal_vectors, only: ng0 => gstart, gx, g
use mp, only: mp_sum
use mp_global, only: intra_image_comm
use cp_interfaces, only: fill_qrl
implicit none
complex(8) gqq(nhm,nhm,nas,nsp)
complex(8) gqqm(nhm,nhm,nas,nsp)
real(8) gmes
integer :: ipol
! local variables
integer :: ndm, ig, is, iv, jv, i, istart, il,l,ir, igi,ia
real(8), allocatable:: fint(:),jl(:)
real(8), allocatable:: qrl(:,:,:), qradb2(:,:,:,:)
real(8) c, xg
complex(8) qgbs,sig
integer :: ivs, jvs, ivl, jvl, lp, ijv
real(8), allocatable:: ylm(:,:)
ndm = MAXVAL (upf(1:nsp)%kkbeta)
allocate( fint( ndm), jl(ndm))
allocate( qradb2(nbetam,nbetam,lmaxq,nsp))
allocate( ylm(ngw, lmaxq*lmaxq))
CALL ylmr2( lmaxq*lmaxq, ngw, gx, g, ylm )
qradb2 = 0.0d0
do is=1,nsp
do ia=1,nas
do jv=1,nhm
do iv=1,nhm
gqq(iv,jv,ia,is)=(0.d0,0.d0)
gqqm(iv,jv,ia,is)=(0.d0,0.d0)
enddo
enddo
enddo
enddo
if(ipol.eq.1) then
gmes=a1(1)**2+a1(2)**2+a1(3)**2
gmes=2*pi/SQRT(gmes)
endif
if(ipol.eq.2) then
gmes=a2(1)**2+a2(2)**2+a2(3)**2
gmes=2*pi/SQRT(gmes)
endif
if(ipol.eq.3) then
gmes=a3(1)**2+a3(2)**2+a3(3)**2
gmes=2*pi/SQRT(gmes)
endif
! only for Vanderbilt species
do is=1,nvb
c=fpi !/omegab
!
ALLOCATE ( qrl( upf(is)%kkbeta, upf(is)%nbeta*(upf(is)%nbeta+1)/2, &
upf(is)%nqlc ) )
!
call fill_qrl ( is, qrl )
! now the radial part
do l=1,upf(is)%nqlc
xg= gmes !only orthorombic cells
!!!call bess(xg,l,upf(is)%kkbeta,rgrid(is)%r,jl)
call sph_bes ( upf(is)%kkbeta, rgrid(is)%r, xg, l-1, jl )
do iv= 1,upf(is)%nbeta
do jv=iv,upf(is)%nbeta
ijv = (jv-1)*jv/2 + iv
!
! note qrl(r)=r^2*q(r)
!
do ir=1,upf(is)%kkbeta
fint(ir)=qrl(ir,ijv,l)*jl(ir)
end do
if (oldvan(is)) then
call herman_skillman_int ( upf(is)%kkbeta,fint,rgrid(is)%rab,&
qradb2(iv,jv,l,is) )
else
call simpson ( upf(is)%kkbeta,fint,rgrid(is)%rab,&
qradb2(iv,jv,l,is) )
endif
qradb2(iv,jv,l,is)= c*qradb2(iv,jv,l,is)
if ( iv /= jv ) qradb2(jv,iv,l,is)= qradb2(iv,jv,l,is)
end do
end do
end do
DEALLOCATE ( qrl )
enddo
igi=-1
do ig=1,ngw
if(ipol.eq.1 ) then
if(mill_l(1,ig).eq.1 .and. mill_l(2,ig).eq.0 .and. mill_l(3,ig).eq. 0) igi=ig
endif
if(ipol.eq.2 ) then
if(mill_l(1,ig).eq.0 .and. mill_l(2,ig).eq.1 .and. mill_l(3,ig).eq. 0) igi=ig
endif
if(ipol.eq.3 ) then
if(mill_l(1,ig).eq.0 .and. mill_l(2,ig).eq.0 .and. mill_l(3,ig).eq. 1) igi=ig
endif
enddo
if( igi.ne.-1) then
!setting array beigr
do is=1,nvb
do iv= 1,nh(is)
do jv=iv,nh(is)
ivs=indv(iv,is)
jvs=indv(jv,is)
ivl=nhtolm(iv,is)
jvl=nhtolm(jv,is)
!
! lpx = max number of allowed y_lm
! lp = composite lm to indentify them
!
qgbs=(0.d0,0.d0)
do i=1,lpx(ivl,jvl)
lp=lpl(ivl,jvl,i)
!
! extraction of angular momentum l from lp:
!
if (lp.eq.1) then
l=1
else if ((lp.ge.2) .and. (lp.le.4)) then
l=2
else if ((lp.ge.5) .and. (lp.le.9)) then
l=3
else if ((lp.ge.10).and.(lp.le.16)) then
l=4
else if ((lp.ge.17).and.(lp.le.25)) then
l=5
else if (lp.ge.26) then
call errore(' qvanb ',' lp.ge.26 ',lp)
endif
!
! sig= (-i)^l
!
sig=(0.d0,-1.d0)**(l-1)
sig=sig*ap(lp,ivl,jvl)
qgbs=qgbs+sig*ylm(igi,lp)*qradb2(ivs,jvs,l,is)
end do
do ia=1,na(is)
gqqm(iv,jv,ia,is)=qgbs
gqqm(jv,iv,ia,is)=qgbs
gqq(iv,jv,ia,is)=CONJG(gqqm(iv,jv,ia,is))
gqq(jv,iv,ia,is)=CONJG(gqqm(iv,jv,ia,is))
end do
end do
enddo
enddo
endif
call mp_sum(gqq(:,:,:,:),intra_image_comm)
call mp_sum(gqqm(:,:,:,:),intra_image_comm)
deallocate( fint)
deallocate( jl)
deallocate(qradb2)
deallocate(ylm)
return
end subroutine qqberry2
! this subroutine updates gqq and gqqm to the
! (new) atomic position
subroutine qqupdate(eigr, gqqm0, gqq, gqqm, ipol)
! gqq output: as defined above
use cvan
use gvecw, only: ngw
use ions_base, only : nas => nax, nat, na, nsp
use reciprocal_vectors, only: mill_l
use uspp_param, only: nh, nhm
use mp, only: mp_sum
use mp_global, only: intra_image_comm
implicit none
complex(8) eigr(ngw,nat)
complex(8) gqq(nhm,nhm,nas,nsp)
complex(8) gqqm(nhm,nhm,nas,nsp)
complex(8) gqqm0(nhm,nhm,nas,nsp)
integer ipol
integer igi,ig,is,iv,jv,ia,isa
do is=1,nsp
do ia=1,nas
do jv=1,nhm
do iv=1,nhm
gqq(iv,jv,ia,is)=(0.d0,0.d0)
gqqm(iv,jv,ia,is)=(0.d0,0.d0)
enddo
enddo
enddo
enddo
igi=-1
do ig=1,ngw
if(ipol.eq.1 ) then
if(mill_l(1,ig).eq.1 .and. mill_l(2,ig).eq.0 .and. mill_l(3,ig).eq. 0) igi=ig
endif
if(ipol.eq.2 ) then
if(mill_l(1,ig).eq.0 .and. mill_l(2,ig).eq.1 .and. mill_l(3,ig).eq. 0) igi=ig
endif
if(ipol.eq.3 ) then
if(mill_l(1,ig).eq.0 .and. mill_l(2,ig).eq.0 .and. mill_l(3,ig).eq. 1) igi=ig
endif
enddo
if( igi.ne.-1) then
isa = 1
do is=1,nvb
do ia=1,na(is)
do iv= 1,nh(is)
do jv=iv,nh(is)
gqqm(iv,jv,ia,is)= gqqm0(iv,jv,ia,is)*eigr(igi,isa)
gqqm(jv,iv,ia,is)= gqqm0(iv,jv,ia,is)*eigr(igi,isa)
gqq(iv,jv,ia,is)=CONJG(gqqm(iv,jv,ia,is))
gqq(jv,iv,ia,is)=CONJG(gqqm(iv,jv,ia,is))
enddo
enddo
isa = isa + 1
enddo
enddo
endif
call mp_sum(gqq(:,:,:,:),intra_image_comm)
call mp_sum(gqqm(:,:,:,:),intra_image_comm)
return
end subroutine qqupdate