quack/src/GF/GF2_ppBSE2_dynamic_kernel_D...

149 lines
5.0 KiB
Fortran

subroutine GF2_ppBSE2_dynamic_kernel_D(ispin,eta,nBas,nC,nO,nV,nR,nOO,lambda,ERI,eGF,OmBSE,KD_dyn,ZD_dyn)
! Compute the resonant part of the dynamic BSE2 matrix
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) :: nOO
double precision,intent(in) :: eta
double precision,intent(in) :: lambda
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: eGF(nBas)
double precision,intent(in) :: OmBSE
! Local variables
double precision :: dem,num
integer :: i,j,k,l,m
integer :: e
integer :: ij,kl
! Output variables
double precision,intent(out) :: KD_dyn(nOO,nOO)
double precision,intent(out) :: ZD_dyn(nOO,nOO)
! Initialization
KD_dyn(:,:) = 0d0
ZD_dyn(:,:) = 0d0
! Second-order correlation kernel for the block D of the singlet manifold
if(ispin == 1) then
ij = 0
do i=nC+1,nO
do j=i,nO
ij = ij + 1
kl = 0
do k=nC+1,nO
do l=k,nO
kl = kl + 1
do m=nC+1,nO
do e=nO+1,nBas-nR
dem = - OmBSE + eGF(k) - eGF(e) + eGF(m) + eGF(j)
num = 2d0*ERI(i,e,k,m)*ERI(j,m,l,e) - ERI(i,e,k,m)*ERI(j,m,e,l) &
- ERI(i,e,m,k)*ERI(j,m,l,e) + 2d0*ERI(i,e,m,k)*ERI(j,m,e,l)
KD_dyn(ij,kl) = KD_dyn(ij,kl) + 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(k) - eGF(e) + eGF(m) + eGF(i)
num = 2d0*ERI(j,e,k,m)*ERI(i,m,l,e) - ERI(j,e,k,m)*ERI(i,m,e,l) &
- ERI(j,e,m,k)*ERI(i,m,l,e) + 2d0*ERI(j,e,m,k)*ERI(i,m,e,l)
KD_dyn(ij,kl) = KD_dyn(ij,kl) - 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(l) - eGF(e) + eGF(m) + eGF(i)
num = 2d0*ERI(i,m,k,e)*ERI(j,e,l,m) - ERI(i,m,k,e)*ERI(j,e,m,l) &
- ERI(i,m,e,k)*ERI(j,e,l,m) + 2d0*ERI(i,m,e,k)*ERI(j,e,m,l)
KD_dyn(ij,kl) = KD_dyn(ij,kl) + 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(l) - eGF(e) + eGF(m) + eGF(j)
num = 2d0*ERI(j,m,k,e)*ERI(i,e,l,m) - ERI(j,m,k,e)*ERI(i,e,m,l) &
- ERI(j,m,e,k)*ERI(i,e,l,m) + 2d0*ERI(j,m,e,k)*ERI(i,e,m,l)
KD_dyn(ij,kl) = KD_dyn(ij,kl) - 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
end do
end do
end do
end do
end if
! Second-order correlation kernel for the block D of the triplet manifold
if(ispin == 2) then
ij = 0
do i=nC+1,nO
do j=i+1,nO
ij = ij + 1
kl = 0
do k=nC+1,nO
do l=k+1,nO
kl = kl + 1
do m=nC+1,nO
do e=nO+1,nBas-nR
dem = - OmBSE + eGF(k) - eGF(e) + eGF(m) + eGF(j)
num = 2d0*ERI(i,e,k,m)*ERI(j,m,l,e) - ERI(i,e,k,m)*ERI(j,m,e,l) - ERI(i,e,m,k)*ERI(j,m,l,e)
KD_dyn(ij,kl) = KD_dyn(ij,kl) + 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(k) - eGF(e) + eGF(m) + eGF(i)
num = 2d0*ERI(j,e,k,m)*ERI(i,m,l,e) - ERI(j,e,k,m)*ERI(i,m,e,l) - ERI(j,e,m,k)*ERI(i,m,l,e)
KD_dyn(ij,kl) = KD_dyn(ij,kl) - 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(l) - eGF(e) + eGF(m) + eGF(i)
num = 2d0*ERI(i,m,k,e)*ERI(j,e,l,m) - ERI(i,m,k,e)*ERI(j,e,m,l) - ERI(i,m,e,k)*ERI(j,e,l,m)
KD_dyn(ij,kl) = KD_dyn(ij,kl) + 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) - 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
dem = - OmBSE + eGF(l) - eGF(e) + eGF(m) + eGF(j)
num = 2d0*ERI(j,m,k,e)*ERI(i,e,l,m) - ERI(j,m,k,e)*ERI(i,e,m,l) - ERI(j,m,e,k)*ERI(i,e,l,m)
KD_dyn(ij,kl) = KD_dyn(ij,kl) - 0.5d0*num*dem/(dem**2 + eta**2)
ZD_dyn(ij,kl) = ZD_dyn(ij,kl) + 0.5d0*num*(dem**2 - eta**2)/(dem**2 + eta**2)**2
end do
end do
end do
end do
end do
end do
end if
end subroutine