quack/src/GW/GW_ppBSE_static_kernel_C.f90

133 lines
2.8 KiB
Fortran

subroutine GW_ppBSE_static_kernel_C(ispin,eta,nBas,nC,nO,nV,nR,nS,nVV,lambda,ERI,Om,rho,KC)
! Compute the VVVV block of the static screening W for the pp-BSE
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: ispin
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nS
integer,intent(in) :: nVV
double precision,intent(in) :: eta
double precision,intent(in) :: lambda
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: Om(nS)
double precision,intent(in) :: rho(nBas,nBas,nS)
! Local variables
double precision,external :: Kronecker_delta
double precision :: chi
double precision :: eps
integer :: a,b,c,d,ab,cd,m
! Output variables
double precision,intent(out) :: KC(nVV,nVV)
! Initialization
KC(:,:) = 0d0
!---------------!
! Singlet block !
!---------------!
if(ispin == 1) then
ab = 0
do a=nO+1,nBas-nR
do b=a,nBas-nR
ab = ab + 1
cd = 0
do c=nO+1,nBas-nR
do d=c,nBas-nR
cd = cd + 1
chi = 0d0
do m=1,nS
eps = Om(m)**2 + eta**2
chi = chi - rho(a,c,m)*rho(b,d,m)*Om(m)/eps &
+ rho(a,d,m)*rho(b,c,m)*Om(m)/eps
end do
KC(ab,cd) = 2d0*lambda*chi/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(c,d)))
end do
end do
end do
end do
end if
!---------------!
! Triplet block !
!---------------!
if(ispin == 2) then
ab = 0
do a=nO+1,nBas-nR
do b=a+1,nBas-nR
ab = ab + 1
cd = 0
do c=nO+1,nBas-nR
do d=c+1,nBas-nR
cd = cd + 1
chi = 0d0
do m=1,nS
eps = Om(m)**2 + eta**2
chi = chi - rho(a,c,m)*rho(b,d,m)*Om(m)/eps &
+ rho(a,d,m)*rho(b,c,m)*Om(m)/eps
end do
KC(ab,cd) = 2d0*lambda*chi
end do
end do
end do
end do
end if
!---------------!
! SpinOrb block !
!---------------!
if(ispin == 4) then
ab = 0
do a=nO+1,nBas-nR
do b=a+1,nBas-nR
ab = ab + 1
cd = 0
do c=nO+1,nBas-nR
do d=c+1,nBas-nR
cd = cd + 1
chi = 0d0
do m=1,nS
eps = Om(m)**2 + eta**2
chi = chi - rho(a,c,m)*rho(b,d,m)*Om(m)/eps &
+ rho(a,d,m)*rho(b,c,m)*Om(m)/eps
end do
KC(ab,cd) = lambda*chi
end do
end do
end do
end do
end if
end subroutine