quack/src/GT/UGTpp_self_energy.f90

231 lines
6.6 KiB
Fortran

subroutine UGTpp_self_energy(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,nPaa,nPab,nPbb,e,Om1aa,Om1ab,Om1bb,&
rho1aa,rho1ab,rho1bb,Om2aa,Om2ab,Om2bb,rho2aa,rho2ab,rho2bb,EcGM,SigT,Z)
! Compute the correlation part of the T-matrix 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) :: nHaa,nHab,nHbb
integer,intent(in) :: nPaa,nPab,nPbb
double precision,intent(in) :: e(nBas,nspin)
double precision,intent(in) :: Om1aa(nPaa),Om1ab(nPab),Om1bb(nPbb)
double precision,intent(in) :: rho1aa(nBas,nBas,nPaa),rho1ab(nBas,nBas,nPab)
double precision,intent(in) :: rho1bb(nBas,nBas,nPbb)
double precision,intent(in) :: Om2aa(nHaa),Om2ab(nHab),Om2bb(nHbb)
double precision,intent(in) :: rho2aa(nBas,nBas,nHaa),rho2ab(nBas,nBas,nHab)
double precision,intent(in) :: rho2bb(nBas,nBas,nHbb)
! Local variables
integer :: i,j,a,b,p,q,cd,kl
double precision :: num,eps
! Output variables
double precision,intent(inout) :: EcGM(nspin)
double precision,intent(inout) :: SigT(nBas,nBas,nspin)
double precision,intent(inout) :: Z(nBas,nspin)
! Initialization
EcGM(:) = 0d0
SigT(:,:,:) = 0d0
Z(:,:) = 0d0
!----------------------------------------------
! Occupied part of the T-matrix self-energy
!----------------------------------------------
!spin up part
do p=nC(1)+1,nBas-nR(1)
do q=nC(1)+1,nBas-nR(1)
do i=nC(1)+1,nO(1)
do cd=1,nPaa
eps = e(p,1) + e(i,1) - Om1aa(cd)
num = rho1aa(p,i,cd)*rho1aa(q,i,cd)
SigT(p,q,1) = SigT(p,q,1) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,1) = Z(p,1) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
do i=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(p,1) + e(i,1) - Om1ab(cd)
num = rho1ab(p,i,cd)*rho1ab(q,i,cd)
SigT(p,q,1) = SigT(p,q,1) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,1) = Z(p,1) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
!spin down part
do p=nC(2)+1,nBas-nR(2)
do q=nC(2)+1,nBas-nR(2)
do i=nC(2)+1,nO(2)
do cd=1,nPbb
eps = e(p,2) + e(i,2) - Om1bb(cd)
num = rho1bb(p,i,cd)*rho1bb(q,i,cd)
SigT(p,q,2) = SigT(p,q,2) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,2) = Z(p,2) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
do i=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(p,2) + e(i,2) - Om1ab(cd)
num = rho1ab(p,i,cd)*rho1ab(q,i,cd)
SigT(p,q,2) = SigT(p,q,2) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,2) = Z(p,2) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
!----------------------------------------------
! Virtual part of the T-matrix self-energy
!----------------------------------------------
! spin up part
do p=nC(1)+1,nBas-nR(1)
do q=nC(1)+1,nBas-nR(1)
do a=nO(1)+1,nBas-nR(1)
do kl=1,nHaa
eps = e(p,1) + e(a,1) - Om2aa(kl)
num = rho2aa(p,a,kl)*rho2aa(q,a,kl)
SigT(p,q,1) = SigT(p,q,1) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,1) = Z(p,1) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
do a=nO(1)+1,nBas-nR(1)
do kl=1,nHab
eps = e(p,1) + e(a,1) - Om2ab(kl)
num = rho2ab(p,a,kl)*rho2ab(q,a,kl)
SigT(p,q,1) = SigT(p,q,1) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,1) = Z(p,1) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
!spin down part
do p=nC(2)+1,nBas-nR(2)
do q=nC(2)+1,nBas-nR(2)
do a=nO(2)+1,nBas-nR(2)
do kl=1,nHbb
eps = e(p,2) + e(a,2) - Om2bb(kl)
num = rho2bb(p,a,kl)*rho2bb(q,a,kl)
SigT(p,q,2) = SigT(p,q,2) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,2) = Z(p,2) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
do a=nO(2)+1,nBas-nR(2)
do kl=1,nHab
eps = e(p,2) + e(a,2) - Om2ab(kl)
num = rho2ab(p,a,kl)*rho2ab(q,a,kl)
SigT(p,q,2) = SigT(p,q,2) + num*eps/(eps**2 + eta**2)
if(p == q) Z(p,2) = Z(p,2) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end do
Z(:,:) = 1d0/(1d0 - Z(:,:))
!----------------------------------------------
! Galitskii-Migdal correlation energy
!----------------------------------------------
!spin up part
do i=nC(1)+1,nO(1)
do j=nC(1)+1,nO(1)
do cd=1,nPaa
eps = e(i,1) + e(j,1) - Om1aa(cd)
EcGM(1) = EcGM(1) + rho1aa(i,j,cd)*rho1aa(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do i=nC(1)+1,nO(1)
do j=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(i,1) + e(j,1) - Om1ab(cd)
EcGM(1) = EcGM(1) + rho1ab(i,j,cd)*rho1ab(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(1)+1,nBas-nR(1)
do b=nO(1)+1,nBas-nR(1)
do kl=1,nHaa
eps = e(a,1) + e(b,1) - Om2aa(kl)
EcGM(1) = EcGM(1) - rho2aa(a,b,kl)*rho2aa(a,b,kl)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(1)+1,nBas-nR(1)
do b=nO(1)+1,nBas-nR(1)
do kl=1,nHab
eps = e(a,1) + e(b,1) - Om2ab(kl)
EcGM(1) = EcGM(1) - rho2ab(a,b,kl)*rho2ab(a,b,kl)*eps/(eps**2 + eta**2)
end do
end do
end do
! spin down part
do i=nC(2)+1,nO(2)
do j=nC(2)+1,nO(2)
do cd=1,nPbb
eps = e(i,2) + e(j,2) - Om1bb(cd)
EcGM(2) = EcGM(2) + rho1bb(i,j,cd)*rho1bb(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do i=nC(1)+1,nO(1)
do j=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(i,2) + e(j,2) - Om1ab(cd)
EcGM(2) = EcGM(2) + rho1ab(i,j,cd)*rho1ab(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(1)+1,nBas-nR(1)
do b=nO(2)+1,nBas-nR(2)
do kl=1,nHab
eps = e(a,2) + e(b,2) - Om2ab(kl)
EcGM(2) = EcGM(2) - rho2ab(a,b,kl)*rho2ab(a,b,kl)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(2)+1,nBas-nR(2)
do b=nO(2)+1,nBas-nR(2)
do kl=1,nHbb
eps = e(a,2) + e(b,2) - Om2bb(kl)
EcGM(2) = EcGM(2) - rho2bb(a,b,kl)*rho2bb(a,b,kl)*eps/(eps**2 + eta**2)
end do
end do
end do
end subroutine