quack/src/GW/USRG_self_energy.f90

151 lines
3.9 KiB
Fortran

subroutine USRG_self_energy(eta,nBas,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) :: eta
integer,intent(in) :: nBas
integer,intent(in) :: nC(nspin)
integer,intent(in) :: nO(nspin)
integer,intent(in) :: nV(nspin)
integer,intent(in) :: nR(nspin)
integer,intent(in) :: nS
double precision,intent(in) :: e(nBas,nspin)
double precision,intent(in) :: Om(nS)
double precision,intent(in) :: rho(nBas,nBas,nS,nspin)
! Local variables
integer :: ispin
integer :: i,j,a,b
integer :: p,q,r
integer :: m
double precision :: Dpim,Dqim,Dpam,Dqam,Diam
double precision :: t1,t2
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: SigC(nBas,nBas,nspin)
double precision,intent(out) :: Z(nBas,nspin)
! Initialize
SigC(:,:,:) = 0d0
!--------------------!
! SRG-GW self-energy !
!--------------------!
! Occupied part of the correlation self-energy
call wall_time(t1)
!$OMP PARALLEL &
!$OMP SHARED(SigC,rho,eta,nS,nC,nO,nBas,nR,e,Om) &
!$OMP PRIVATE(ispin,m,i,q,p,Dpim,Dqim) &
!$OMP DEFAULT(NONE)
!$OMP DO
do ispin=1,nspin
do q=nC(ispin)+1,nBas-nR(ispin)
do p=nC(ispin)+1,nBas-nR(ispin)
do m=1,nS
do i=nC(ispin)+1,nO(ispin)
Dpim = e(p,ispin) - e(i,ispin) + Om(m)
Dqim = e(q,ispin) - e(i,ispin) + Om(m)
SigC(p,q,ispin) = SigC(p,q,ispin) &
+ rho(p,i,m,ispin)*rho(q,i,m,ispin)*(1d0-dexp(-eta*Dpim*Dpim)*dexp(-eta*Dqim*Dqim)) &
*(Dpim + Dqim)/(Dpim*Dpim + Dqim*Dqim)
end do
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
call wall_time(t2)
print *, "first loop", (t2-t1)
! Virtual part of the correlation self-energy
call wall_time(t1)
!$OMP PARALLEL &
!$OMP SHARED(SigC,rho,eta,nS,nC,nO,nR,nBas,e,Om) &
!$OMP PRIVATE(ispin,m,a,q,p,Dpam,Dqam) &
!$OMP DEFAULT(NONE)
!$OMP DO
do ispin=1,nspin
do q=nC(ispin)+1,nBas-nR(ispin)
do p=nC(ispin)+1,nBas-nR(ispin)
do m=1,nS
do a=nO(ispin)+1,nBas-nR(ispin)
Dpam = e(p,ispin) - e(a,ispin) - Om(m)
Dqam = e(q,ispin) - e(a,ispin) - Om(m)
SigC(p,q,ispin) = SigC(p,q,ispin) &
+ rho(p,a,m,ispin)*rho(q,a,m,ispin)*(1d0-exp(-eta*Dpam*Dpam)*exp(-eta*Dqam*Dqam)) &
*(Dpam + Dqam)/(Dpam*Dpam + Dqam*Dqam)
end do
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
call wall_time(t2)
print *, "second loop", (t2-t1)
! Initialize
Z(:,:) = 0d0
do ispin=1,nspin
do p=nC(ispin)+1,nBas-nR(ispin)
do i=nC(ispin)+1,nO(ispin)
do m=1,nS
Dpim = e(p,ispin) - e(i,ispin) + Om(m)
Z(p,ispin) = Z(p,ispin) - rho(p,i,m,ispin)**2*(1d0-dexp(-2d0*eta*Dpim*Dpim))/Dpim**2
end do
end do
end do
end do
! Virtual part of the correlation self-energy
do ispin=1,nspin
do p=nC(ispin)+1,nBas-nR(ispin)
do a=nO(ispin)+1,nBas-nR(ispin)
do m=1,nS
Dpam = e(p,ispin) - e(a,ispin) - Om(m)
Z(p,ispin) = Z(p,ispin) - rho(p,a,m,ispin)**2*(1d0-dexp(-2d0*eta*Dpam*Dpam))/Dpam**2
end do
end do
end do
end do
! Compute renormalization factor from derivative of SigC
Z(:,:) = 1d0/(1d0 - Z(:,:))
! Galitskii-Migdal correlation energy
EcGM = 0d0
do ispin=1,nspin
do i=nC(ispin)+1,nO(ispin)
do a=nO(ispin)+1,nBas-nR(ispin)
do m=1,nS
Diam = e(a,ispin) - e(i,ispin) + Om(m)
EcGM = EcGM - rho(a,i,m,ispin)*rho(a,i,m,ispin)*(1d0-exp(-2d0*eta*Diam*Diam))/Diam
end do
end do
end do
end do
end subroutine