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