quantum-espresso/PW/atomic_rho.f90

197 lines
6.4 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 .
!
!
!-----------------------------------------------------------------------
subroutine atomic_rho (rhoa, nspina)
!-----------------------------------------------------------------------
! This routine calculates rhoa as the superposition of atomic charges.
!
! nspina is the number of spin components to be calculated
!
! if nspina = 1 the total atomic charge density is calculated
! if nspina = 2 the spin up and spin down atomic charge densities are
! calculated assuming an uniform atomic spin-polarization
! equal to starting_magnetization(nt)
! if nspina = 4 noncollinear case. The total density is calculated
! in the first component and the magnetization vector
! in the other three.
!
! NB: nspina may not be equal to nspin because in some cases (as in update)
! the total charge only could be needed, even in a LSDA calculation.
!
!
USE kinds, ONLY : DP
USE io_global, ONLY : stdout
USE atom, ONLY : rgrid, msh
USE ions_base, ONLY : ntyp => nsp
USE cell_base, ONLY : tpiba, omega
USE gvect, ONLY : ngm, ngl, gstart, nl, nlm, gl, igtongl
USE lsda_mod, ONLY : starting_magnetization, lsda
USE vlocal, ONLY : strf
USE control_flags, ONLY : gamma_only
USE wavefunctions_module, ONLY : psic
USE noncollin_module, ONLY : angle1, angle2
USE uspp_param, ONLY : upf
USE mp_global, ONLY : intra_pool_comm
USE mp, ONLY : mp_sum
USE fft_base, ONLY : dfftp
USE fft_interfaces, ONLY : invfft
!
implicit none
!
integer :: nspina
! the number of spin polarizations
real(DP) :: rhoa (dfftp%nnr, nspina)
! the output atomic charge
!
! local variables
!
real(DP) :: rhoneg, rhoima, gx
real(DP), allocatable :: rhocgnt (:), aux (:)
complex(DP), allocatable :: rhocg (:,:)
integer :: ir, is, ig, igl, nt, ndm
!
! superposition of atomic charges contained in the array rho_at
! (read from pseudopotential files)
!
! allocate work space (psic must already be allocated)
!
allocate (rhocg( ngm, nspina))
ndm = MAXVAL ( msh(1:ntyp) )
allocate (aux(ndm))
allocate (rhocgnt( ngl))
rhoa(:,:) = 0.d0
rhocg(:,:) = (0.d0,0.d0)
do nt = 1, ntyp
!
! Here we compute the G=0 term
!
if (gstart == 2) then
do ir = 1, msh (nt)
aux (ir) = upf(nt)%rho_at (ir)
enddo
call simpson (msh (nt), aux, rgrid(nt)%rab, rhocgnt (1) )
endif
!
! Here we compute the G<>0 term
!
do igl = gstart, ngl
gx = sqrt (gl (igl) ) * tpiba
do ir = 1, msh (nt)
if (rgrid(nt)%r(ir) < 1.0d-8) then
aux(ir) = upf(nt)%rho_at(ir)
else
aux(ir) = upf(nt)%rho_at(ir) * &
sin(gx*rgrid(nt)%r(ir)) / (rgrid(nt)%r(ir)*gx)
endif
enddo
call simpson (msh (nt), aux, rgrid(nt)%rab, rhocgnt (igl) )
enddo
!
! we compute the 3D atomic charge in reciprocal space
!
if (nspina == 1) then
do ig = 1, ngm
rhocg(ig,1) = rhocg(ig,1) + &
strf(ig,nt) * rhocgnt(igtongl(ig)) / omega
enddo
else if (nspina == 2) then
do ig = 1, ngm
rhocg(ig,1) = rhocg(ig,1) + &
0.5d0 * ( 1.d0 + starting_magnetization(nt) ) * &
strf(ig,nt) * rhocgnt(igtongl(ig)) / omega
rhocg(ig,2) = rhocg(ig,2) + &
0.5d0 * ( 1.d0 - starting_magnetization(nt) ) * &
strf(ig,nt) * rhocgnt(igtongl(ig)) / omega
enddo
else
!
! Noncolinear case
!
do ig = 1,ngm
rhocg(ig,1) = rhocg(ig,1) + &
strf(ig,nt)*rhocgnt(igtongl(ig))/omega
! Now, the rotated value for the magnetization
rhocg(ig,2) = rhocg(ig,2) + &
starting_magnetization(nt)* &
sin(angle1(nt))*cos(angle2(nt))* &
strf(ig,nt)*rhocgnt(igtongl(ig))/omega
rhocg(ig,3) = rhocg(ig,3) + &
starting_magnetization(nt)* &
sin(angle1(nt))*sin(angle2(nt))* &
strf(ig,nt)*rhocgnt(igtongl(ig))/omega
rhocg(ig,4) = rhocg(ig,4) + &
starting_magnetization(nt)* &
cos(angle1(nt))* &
strf(ig,nt)*rhocgnt(igtongl(ig))/omega
end do
endif
enddo
deallocate (rhocgnt)
deallocate (aux)
do is = 1, nspina
!
! and we return to real space
!
psic(:) = (0.d0,0.d0)
psic (nl (:) ) = rhocg (:, is)
if (gamma_only) psic ( nlm(:) ) = CONJG( rhocg (:, is) )
CALL invfft ('Dense', psic, dfftp)
!
! we check that everything is correct
!
rhoneg = 0.d0
rhoima = 0.d0
do ir = 1, dfftp%nnr
rhoneg = rhoneg + MIN (0.d0, DBLE (psic (ir)) )
rhoima = rhoima + abs (AIMAG (psic (ir) ) )
enddo
rhoneg = omega * rhoneg / (dfftp%nr1 * dfftp%nr2 * dfftp%nr3)
rhoima = omega * rhoima / (dfftp%nr1 * dfftp%nr2 * dfftp%nr3)
#ifdef __PARA
call mp_sum( rhoneg, intra_pool_comm )
call mp_sum( rhoima, intra_pool_comm )
#endif
IF ( rhoima > 1.0d-4 ) THEN
WRITE( stdout,'(5x,"Check: imaginary charge or magnetization=",&
& f12.6," (component ",i1,") set to zero")') rhoima, is
END IF
IF ( (is == 1) .OR. lsda ) THEN
!
IF ( (rhoneg < -1.0d-4) ) THEN
IF ( lsda ) THEN
WRITE( stdout,'(5x,"Check: negative starting charge=", &
&"(component",i1,"):",f12.6)') is, rhoneg
ELSE
WRITE( stdout,'(5x,"Check: negative starting charge=", &
& f12.6)') rhoneg
END IF
END IF
END IF
!
! set imaginary terms to zero - negative terms are not set to zero
! because it is basically useless to do it in real space: negative
! charge will re-appear when Fourier-transformed back and forth
!
DO ir = 1, dfftp%nnr
rhoa (ir, is) = DBLE (psic (ir))
END DO
!
enddo
deallocate (rhocg)
return
end subroutine atomic_rho