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mirror of https://github.com/pfloos/quack synced 2024-11-19 12:32:36 +01:00
quack/src/GW/GW_self_energy.f90
2023-08-21 10:54:33 +02:00

110 lines
2.5 KiB
Fortran

subroutine GW_self_energy(eta,nBas,nC,nO,nV,nR,nS,e,Om,rho,EcGM,Sig,Z)
! Compute correlation part of the self-energy and the renormalization factor
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: eta
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nS
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: Om(nS)
double precision,intent(in) :: rho(nBas,nBas,nS)
! Local variables
integer :: i,j,a,b
integer :: p,q,m
double precision :: num,eps
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: Sig(nBas,nBas)
double precision,intent(out) :: Z(nBas)
! Initialize
Sig(:,:) = 0d0
Z(:) = 0d0
!----------------!
! GW self-energy !
!----------------!
! Occupied part of the correlation self-energy
!$OMP PARALLEL &
!$OMP SHARED(Sig,Z,rho,eta,nS,nC,nO,nBas,nR,e,Om) &
!$OMP PRIVATE(m,i,q,p,eps,num) &
!$OMP DEFAULT(NONE)
!$OMP DO
do q=nC+1,nBas-nR
do p=nC+1,nBas-nR
do m=1,nS
do i=nC+1,nO
eps = e(p) - e(i) + Om(m)
num = 2d0*rho(p,i,m)*rho(q,i,m)
Sig(p,q) = Sig(p,q) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p) = Z(p) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
! Virtual part of the correlation self-energy
!$OMP PARALLEL &
!$OMP SHARED(Sig,Z,rho,eta,nS,nC,nO,nBas,nR,e,Om) &
!$OMP PRIVATE(m,a,q,p,eps,num) &
!$OMP DEFAULT(NONE)
!$OMP DO
do q=nC+1,nBas-nR
do p=nC+1,nBas-nR
do m=1,nS
do a=nO+1,nBas-nR
eps = e(p) - e(a) - Om(m)
num = 2d0*rho(p,a,m)*rho(q,a,m)
Sig(p,q) = Sig(p,q) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p) = Z(p) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
! Galitskii-Migdal correlation energy
EcGM = 0d0
do m=1,nS
do a=nO+1,nBas-nR
do i=nC+1,nO
eps = e(a) - e(i) + Om(m)
num = 4d0*rho(a,i,m)*rho(a,i,m)
EcGM = EcGM - num*eps/(eps**2 + eta**2)
end do
end do
end do
! Compute renormalization factor from derivative
Z(:) = 1d0/(1d0 - Z(:))
end subroutine