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QuAcK/src/GW/RGW_SRG_self_energy.f90
2024-09-11 18:41:27 +02:00

147 lines
3.4 KiB
Fortran

subroutine RGW_SRG_self_energy(flow,nBas,nOrb,nC,nO,nV,nR,nS,e,Om,rho,EcGM,SigC,Z)
! Compute correlation part of the self-energy
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: flow
integer,intent(in) :: nBas
integer,intent(in) :: nOrb
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(nOrb)
double precision,intent(in) :: Om(nS)
double precision,intent(in) :: rho(nOrb,nOrb,nS)
! Local variables
integer :: i,j,a,b
integer :: p,q
integer :: m
double precision :: Dpim,Dqim,Dpam,Dqam,Diam
double precision :: s
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: SigC(nOrb,nOrb)
double precision,intent(out) :: Z(nOrb)
!--------------------!
! SRG flow parameter !
!--------------------!
s = flow
!--------------------!
! SRG-GW self-energy !
!--------------------!
SigC(:,:) = 0d0
! Occupied part of the correlation self-energy
!$OMP PARALLEL &
!$OMP SHARED(SigC,rho,s,nS,nC,nO,nOrb,nR,e,Om) &
!$OMP PRIVATE(m,i,q,p,Dpim,Dqim) &
!$OMP DEFAULT(NONE)
!$OMP DO
do q=nC+1,nOrb-nR
do p=nC+1,nOrb-nR
do m=1,nS
do i=nC+1,nO
Dpim = e(p) - e(i) + Om(m)
Dqim = e(q) - e(i) + Om(m)
SigC(p,q) = SigC(p,q) &
+ 2d0*rho(p,i,m)*rho(q,i,m)* &
(1d0-exp(-s*Dpim*Dpim)*exp(-s*Dqim*Dqim))*(Dpim + Dqim)/(Dpim*Dpim + Dqim*Dqim)
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
! Virtual part of the correlation self-energy
!$OMP PARALLEL &
!$OMP SHARED(SigC,rho,s,nS,nC,nO,nR,nOrb,e,Om) &
!$OMP PRIVATE(m,a,q,p,Dpam,Dqam) &
!$OMP DEFAULT(NONE)
!$OMP DO
do q=nC+1,nOrb-nR
do p=nC+1,nOrb-nR
do m=1,nS
do a=nO+1,nOrb-nR
Dpam = e(p) - e(a) - Om(m)
Dqam = e(q) - e(a) - Om(m)
SigC(p,q) = SigC(p,q) &
+ 2d0*rho(p,a,m)*rho(q,a,m)* &
(1d0-exp(-s*Dpam*Dpam)*exp(-s*Dqam*Dqam))*(Dpam + Dqam)/(Dpam*Dpam + Dqam*Dqam)
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
!------------------------!
! Renormalization factor !
!------------------------!
Z(:) = 0d0
! Occupied part of the renormlization factor
do p=nC+1,nOrb-nR
do i=nC+1,nO
do m=1,nS
Dpim = e(p) - e(i) + Om(m)
Z(p) = Z(p) - 2d0*rho(p,i,m)**2*(1d0-exp(-2d0*s*Dpim*Dpim))/Dpim**2
end do
end do
end do
! Virtual part of the renormlization factor
do p=nC+1,nOrb-nR
do a=nO+1,nOrb-nR
do m=1,nS
Dpam = e(p) - e(a) - Om(m)
Z(p) = Z(p) - 2d0*rho(p,a,m)**2*(1d0-exp(-2d0*s*Dpam*Dpam))/Dpam**2
end do
end do
end do
Z(:) = 1d0/(1d0 - Z(:))
!-------------------------------------!
! Galitskii-Migdal correlation energy !
!-------------------------------------!
EcGM = 0d0
do i=nC+1,nO
do a=nO+1,nOrb-nR
do m=1,nS
Diam = e(a) - e(i) + Om(m)
EcGM = EcGM - 4d0*rho(a,i,m)*rho(a,i,m)*(1d0-exp(-2d0*s*Diam*Diam))/Diam
end do
end do
end do
end subroutine