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mirror of https://github.com/pfloos/quack synced 2025-05-06 23:24:58 +02:00

Merge branch 'master' of github.com:pfloos/QuAcK

This commit is contained in:
Pierre-Francois Loos 2025-04-02 16:28:49 +02:00
commit 2053384ff3
8 changed files with 542 additions and 455 deletions

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@ -554,8 +554,8 @@ subroutine GParquet(TDAeh,TDApp,max_diis_1b,max_diis_2b,linearize,eta,ENuc,max_i
eOld(:) = eQP(:)
! Print for one-body part
call print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM,Ec_eh,Ec_pp)
call G_print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM,Ec_eh,Ec_pp)
deallocate(eQPlin,Z,SigC)

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@ -0,0 +1,356 @@
subroutine G_Parquet_self_energy(eta,nOrb,nC,nO,nV,nR,nS,nOO,nVV,eQP,ERI,&
eh_rho,eh_Om,ee_rho,ee_Om,hh_rho,hh_Om,EcGM,SigC,Z)
! Compute correlation part of the self-energy coming from irreducible vertices contribution
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: eta
integer,intent(in) :: nOrb
integer,intent(in) :: nC, nO, nV, nR
integer,intent(in) :: nS, nOO, nVV
double precision,intent(in) :: eQP(nOrb)
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: eh_rho(nOrb,nOrb,nS)
double precision,intent(in) :: eh_Om(nS)
double precision,intent(in) :: ee_rho(nOrb,nOrb,nVV)
double precision,intent(in) :: ee_Om(nVV)
double precision,intent(in) :: hh_rho(nOrb,nOrb,nOO)
double precision,intent(in) :: hh_Om(nOO)
! Local variables
integer :: i,j,k,a,b,c
integer :: p,n
double precision :: eps,dem1,dem2,reg,reg1,reg2
double precision :: num
double precision :: start_t,end_t,t
! Output variables
double precision,intent(out) :: SigC(nOrb)
double precision,intent(out) :: Z(nOrb)
double precision,intent(out) :: EcGM
! Initialize
SigC(:) = 0d0
Z(:) = 0d0
EcGM = 0d0
!-----------------------------!
! GF2 part of the self-energy !
!-----------------------------!
call wall_time(start_t)
do p=nC+1,nOrb-nR
! 2h1p sum
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nOrb-nR
eps = eQP(p) + eQP(a) - eQP(i) - eQP(j)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = 0.5d0*(ERI(p,a,j,i) - ERI(p,a,i,j))**2
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
! 2p1h sum
do i=nC+1,nO
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
eps = eQP(p) + eQP(i) - eQP(a) - eQP(b)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = 0.5d0*(ERI(p,i,b,a) - ERI(p,i,a,b))**2
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
end do
call wall_time(end_t)
t = end_t - start_t
write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building GF(2) self-energy =',t,' seconds'
write(*,*)
! !-----------------------------!
! ! eh part of the self-energy !
! !-----------------------------!
! call wall_time(start_t)
! !$OMP PARALLEL DEFAULT(NONE) &
! !$OMP PRIVATE(p,i,a,j,b,n,num,dem1,dem2,reg1,reg2) &
! !$OMP SHARED(nC,nO,nOrb,nR,nS,eta,ERI,eQP,eh_rho,eh_Om,SigC,Z)
! !$OMP DO COLLAPSE(2)
! do p=nC+1,nOrb-nR
! do i=nC+1,nO
! do a=nO+1,nOrb-nR
! do n=1,nS
! !3h2p
! do j=nC+1,nO
! num = ERI(p,a,j,i) * &
! (eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
! dem1 = eQP(a) - eQP(i) - eh_Om(n)
! dem2 = eQP(p) - eQP(j) + eh_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! !num = ERI(p,a,j,i) * &
! !(eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
! !dem1 = eQP(a) - eQP(i) - eh_Om(n)
! dem2 = eQP(p) + eQP(a) - eQP(i) - eQP(j)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
! !num = ERI(p,a,j,i) * &
! !(eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
! dem1 = eQP(a) - eQP(i) + eh_Om(n)
! !dem2 = eQP(p) + eQP(a) - eQP(i) - eQP(j)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! !reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! num = ERI(p,i,j,a) * &
! (eh_rho(j,p,n) * eh_rho(a,i,n) - eh_rho(j,i,n) * eh_rho(a,p,n))
! !dem1 = eQP(a) - eQP(i) + eh_Om(n)
! dem2 = eQP(p) - eQP(j) + eh_Om(n)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! j
! !3p2h
! do b=nO+1,nOrb-nR
! num = ERI(p,a,b,i) * &
! (eh_rho(b,p,n) * eh_rho(i,a,n) - eh_rho(b,a,n) * eh_rho(i,p,n))
! dem1 = eQP(a) - eQP(i) + eh_Om(n)
! dem2 = eQP(p) - eQP(b) - eh_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! num = ERI(p,i,b,a) * &
! (eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
! !dem1 = eQP(a) - eQP(i) + eh_Om(n)
! dem2 = eQP(p) + eQP(i) - eQP(a) - eQP(b)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! !num = ERI(p,i,b,a) * &
! !(eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
! dem1 = eQP(a) - eQP(i) - eh_Om(n)
! !dem2 = eQP(p) + eQP(i) - eQP(a) - eQP(b)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! !reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
! !num = ERI(p,i,b,a) * &
! !(eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
! !dem1 = eQP(a) - eQP(i) - eh_Om(n)
! dem2 = eQP(p) - eQP(b) - eh_Om(n)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! b
! end do ! n
! end do ! a
! end do ! i
! end do ! p
! !$OMP END DO
! !$OMP END PARALLEL
! call wall_time(end_t)
! t = end_t - start_t
! write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building eh self-energy =',t,' seconds'
! write(*,*)
! !-----------------------------!
! ! pp part of the self-energy !
! !-----------------------------!
! call wall_time(start_t)
! !$OMP PARALLEL DEFAULT(NONE) &
! !$OMP PRIVATE(p,i,j,k,c,n,num,dem1,dem2,reg1,reg2) &
! !$OMP SHARED(nC,nO,nOrb,nR,nOO,nVV,eta,ERI,eQP,ee_rho,ee_Om,hh_rho,hh_Om,SigC,Z)
! !$OMP DO COLLAPSE(2)
! do p=nC+1,nOrb-nR
! do i=nC+1,nO
! do j=nC+1,nO
! do n=1,nVV
! ! 4h1p
! do k=nC+1,nO
! num = ERI(p,k,i,j) * ee_rho(i,j,n) * ee_rho(p,k,n)
! dem1 = ee_Om(n) - eQP(i) - eQP(j)
! dem2 = eQP(p) + eQP(k) - ee_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! k
! ! 3h2p
! do c=nO+1,nOrb-nR
! num = ERI(p,c,i,j) * ee_rho(i,j,n) * ee_rho(p,c,n)
! !dem1 = ee_Om(n) - eQP(i) - eQP(j)
! dem2 = eQP(p) + eQP(c) - eQP(i) - eQP(j)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! a
! end do ! n
! do n=1,nOO
! ! 3h2p
! do c=nO+1,nOrb-nR
! num = ERI(p,c,i,j) * hh_rho(i,j,n) * hh_rho(p,c,n)
! dem1 = hh_Om(n) - eQP(i) - eQP(j)
! dem2 = eQP(p) + eQP(c) - hh_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! num = ERI(p,c,i,j) * hh_rho(i,j,n) * hh_rho(p,c,n)
! !dem1 = hh_Om(n) - eQP(i) - eQP(j)
! dem2 = eQP(p) + eQP(c) - eQP(i) - eQP(j)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! c
! end do ! n
! end do ! j
! end do ! i
! end do ! p
! !$OMP END DO
! !$OMP END PARALLEL
! !$OMP PARALLEL DEFAULT(NONE) &
! !$OMP PRIVATE(p,k,a,b,c,n,num,dem1,dem2,reg1,reg2) &
! !$OMP SHARED(nC,nO,nOrb,nR,nOO,nVV,eta,ERI,eQP,ee_rho,ee_Om,hh_rho,hh_Om,SigC,Z)
! !$OMP DO COLLAPSE(2)
! do p=nC+1,nOrb-nR
! do a=nO+1,nOrb-nR
! do b=nO+1,nOrb-nR
! do n=1,nOO
! ! 4p1h
! do c=nO+1,nOrb-nR
! num = ERI(p,c,a,b) * hh_rho(a,b,n) * hh_rho(p,c,n)
! dem1 = hh_Om(n) - eQP(a) - eQP(b)
! dem2 = eQP(p) + eQP(c) - hh_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! c
! ! 3p2h
! do k=nC+1,nO
! num = ERI(p,k,a,b) * hh_rho(a,b,n) * hh_rho(p,k,n)
! !dem1 = hh_Om(n) - eQP(a) - eQP(b)
! dem2 = eQP(p) + eQP(k) - eQP(a) - eQP(b)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! k
! end do ! n
! do n=1,nVV
! ! 3p2h
! do k=nC+1,nO
! num = ERI(p,k,a,b) * ee_rho(a,b,n) * ee_rho(p,k,n)
! dem1 = ee_Om(n) - eQP(a) - eQP(b)
! dem2 = eQP(p) + eQP(k) - ee_Om(n)
! reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
! num = ERI(p,k,a,b) * ee_rho(a,b,n) * ee_rho(p,k,n)
! !dem1 = ee_Om(n) - eQP(a) - eQP(b)
! dem2 = eQP(p) + eQP(k) - eQP(a) - eQP(b)
! !reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
! reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
! SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
! Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
! end do ! c
! end do ! n
! end do ! b
! end do ! a
! end do ! p
! !$OMP END DO
! !$OMP END PARALLEL
! call wall_time(end_t)
! t = end_t - start_t
! write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building pp self-energy =',t,' seconds'
! write(*,*)
!-----------------------------!
! Renormalization factor !
!-----------------------------!
Z(:) = 1d0/(1d0 - Z(:))
!-------------------------------------!
! Galitskii-Migdal correlation energy !
!-------------------------------------!
EcGM = 0d0
end subroutine

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@ -1,349 +0,0 @@
subroutine G_Parquet_self_energy(eta,nOrb,nC,nO,nV,nR,nS,nOO,nVV,eQP,ERI,&
eh_rho,eh_Om,ee_rho,ee_Om,hh_rho,hh_Om,EcGM,SigC,Z)
! Compute correlation part of the self-energy coming from irreducible vertices contribution
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: eta
integer,intent(in) :: nOrb
integer,intent(in) :: nC, nO, nV, nR
integer,intent(in) :: nS, nOO, nVV
double precision,intent(in) :: eQP(nOrb)
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: eh_rho(nOrb,nOrb,nS)
double precision,intent(in) :: eh_Om(nS)
double precision,intent(in) :: ee_rho(nOrb,nOrb,nVV)
double precision,intent(in) :: ee_Om(nVV)
double precision,intent(in) :: hh_rho(nOrb,nOrb,nOO)
double precision,intent(in) :: hh_Om(nOO)
! Local variables
integer :: i,j,k,a,b,c
integer :: p,n
double precision :: eps,dem1,dem2,reg,reg1,reg2
double precision :: num
double precision :: start_t,end_t,t
! Output variables
double precision,intent(out) :: SigC(nOrb)
double precision,intent(out) :: Z(nOrb)
double precision,intent(out) :: EcGM
! Initialize
SigC(:) = 0d0
Z(:) = 0d0
EcGM = 0d0
!-----------------------------!
! GF2 part of the self-energy !
!-----------------------------!
call wall_time(start_t)
do p=nC+1,nOrb-nR
! 2h1p sum
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nOrb-nR
eps = eQP(p) + eQP(a) - eQP(i) - eQP(j)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = 0.5d0*(ERI(p,a,j,i) - ERI(p,a,i,j))**2
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
! 2p1h sum
do i=nC+1,nO
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
eps = eQP(p) + eQP(i) - eQP(a) - eQP(b)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = 0.5d0*(ERI(p,i,b,a) - ERI(p,i,a,b))**2
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
end do
call wall_time(end_t)
t = end_t - start_t
write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building GF(2) self-energy =',t,' seconds'
write(*,*)
!-----------------------------!
! eh part of the self-energy !
!-----------------------------!
call wall_time(start_t)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(p,i,a,j,b,n,num,dem1,dem2,reg1,reg2) &
!$OMP SHARED(nC,nO,nOrb,nR,nS,eta,ERI,eQP,eh_rho,eh_Om,SigC,Z)
!$OMP DO COLLAPSE(2)
do p=nC+1,nOrb-nR
do i=nC+1,nO
do a=nO+1,nOrb-nR
do n=1,nS
!3h2p
do j=nC+1,nO
num = ERI(p,a,j,i) * &
(eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
dem1 = eQP(a) - eQP(i) - eh_Om(n)
dem2 = eQP(p) - eQP(j) + eh_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
!num = ERI(p,a,j,i) * &
!(eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
!dem1 = eQP(a) - eQP(i) - eh_Om(n)
dem2 = eQP(p) + eQP(a) - eQP(i) - eQP(j)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
!num = ERI(p,a,j,i) * &
!(eh_rho(j,p,n) * eh_rho(i,a,n) - eh_rho(j,a,n) * eh_rho(i,p,n))
dem1 = eQP(a) - eQP(i) + eh_Om(n)
!dem2 = eQP(p) + eQP(a) - eQP(i) - eQP(j)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
!reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
num = ERI(p,i,j,a) * &
(eh_rho(j,p,n) * eh_rho(a,i,n) - eh_rho(j,i,n) * eh_rho(a,p,n))
!dem1 = eQP(a) - eQP(i) + eh_Om(n)
dem2 = eQP(p) - eQP(j) + eh_Om(n)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! j
!3p2h
do b=nO+1,nOrb-nR
num = ERI(p,a,b,i) * &
(eh_rho(b,p,n) * eh_rho(i,a,n) - eh_rho(b,a,n) * eh_rho(i,p,n))
dem1 = eQP(a) - eQP(i) + eh_Om(n)
dem2 = eQP(p) - eQP(b) - eh_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
num = ERI(p,i,b,a) * &
(eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
!dem1 = eQP(a) - eQP(i) + eh_Om(n)
dem2 = eQP(p) + eQP(i) - eQP(a) - eQP(b)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
!num = ERI(p,i,b,a) * &
!(eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
dem1 = eQP(a) - eQP(i) - eh_Om(n)
!dem2 = eQP(p) + eQP(i) - eQP(a) - eQP(b)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
!reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
!num = ERI(p,i,b,a) * &
!(eh_rho(b,p,n) * eh_rho(a,i,n) - eh_rho(b,i,n) * eh_rho(a,p,n))
!dem1 = eQP(a) - eQP(i) - eh_Om(n)
dem2 = eQP(p) - eQP(b) - eh_Om(n)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! b
end do ! n
end do ! a
end do ! i
end do ! p
!$OMP END DO
!$OMP END PARALLEL
call wall_time(end_t)
t = end_t - start_t
write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building eh self-energy =',t,' seconds'
write(*,*)
!-----------------------------!
! pp part of the self-energy !
!-----------------------------!
call wall_time(start_t)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(p,i,j,k,c,n,num,dem1,dem2,reg1,reg2) &
!$OMP SHARED(nC,nO,nOrb,nR,nOO,nVV,eta,ERI,eQP,ee_rho,ee_Om,hh_rho,hh_Om,SigC,Z)
!$OMP DO COLLAPSE(2)
do p=nC+1,nOrb-nR
do i=nC+1,nO
do j=nC+1,nO
do n=1,nVV
! 4h1p
do k=nC+1,nO
num = ERI(p,k,i,j) * ee_rho(i,j,n) * ee_rho(p,k,n)
dem1 = ee_Om(n) - eQP(i) - eQP(j)
dem2 = eQP(p) + eQP(k) - ee_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! k
! 3h2p
do c=nO+1,nOrb-nR
num = ERI(p,c,i,j) * ee_rho(i,j,n) * ee_rho(p,c,n)
!dem1 = ee_Om(n) - eQP(i) - eQP(j)
dem2 = eQP(p) + eQP(c) - eQP(i) - eQP(j)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! a
end do ! n
do n=1,nOO
! 3h2p
do c=nO+1,nOrb-nR
num = ERI(p,c,i,j) * hh_rho(i,j,n) * hh_rho(p,c,n)
dem1 = hh_Om(n) - eQP(i) - eQP(j)
dem2 = eQP(p) + eQP(c) - hh_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
num = ERI(p,c,i,j) * hh_rho(i,j,n) * hh_rho(p,c,n)
!dem1 = hh_Om(n) - eQP(i) - eQP(j)
dem2 = eQP(p) + eQP(c) - eQP(i) - eQP(j)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! c
end do ! n
end do ! j
end do ! i
end do ! p
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(p,k,a,b,c,n,num,dem1,dem2,reg1,reg2) &
!$OMP SHARED(nC,nO,nOrb,nR,nOO,nVV,eta,ERI,eQP,ee_rho,ee_Om,hh_rho,hh_Om,SigC,Z)
!$OMP DO COLLAPSE(2)
do p=nC+1,nOrb-nR
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
do n=1,nOO
! 4p1h
do c=nO+1,nOrb-nR
num = ERI(p,c,a,b) * hh_rho(a,b,n) * hh_rho(p,c,n)
dem1 = hh_Om(n) - eQP(a) - eQP(b)
dem2 = eQP(p) + eQP(c) - hh_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! c
! 3p2h
do k=nC+1,nO
num = ERI(p,k,a,b) * hh_rho(a,b,n) * hh_rho(p,k,n)
!dem1 = hh_Om(n) - eQP(a) - eQP(b)
dem2 = eQP(p) + eQP(k) - eQP(a) - eQP(b)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! k
end do ! n
do n=1,nVV
! 3p2h
do k=nC+1,nO
num = ERI(p,k,a,b) * ee_rho(a,b,n) * ee_rho(p,k,n)
dem1 = ee_Om(n) - eQP(a) - eQP(b)
dem2 = eQP(p) + eQP(k) - ee_Om(n)
reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) - num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) + num * (reg1/dem1) * (reg2/dem2/dem2)
num = ERI(p,k,a,b) * ee_rho(a,b,n) * ee_rho(p,k,n)
!dem1 = ee_Om(n) - eQP(a) - eQP(b)
dem2 = eQP(p) + eQP(k) - eQP(a) - eQP(b)
!reg1 = (1d0 - exp(- 2d0 * eta * dem1 * dem1))
reg2 = (1d0 - exp(- 2d0 * eta * dem2 * dem2))
SigC(p) = SigC(p) + num * (reg1/dem1) * (reg2/dem2)
Z(p) = Z(p) - num * (reg1/dem1) * (reg2/dem2/dem2)
end do ! c
end do ! n
end do ! b
end do ! a
end do ! p
!$OMP END DO
!$OMP END PARALLEL
call wall_time(end_t)
t = end_t - start_t
write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building pp self-energy =',t,' seconds'
write(*,*)
!-----------------------------!
! Renormalization factor !
!-----------------------------!
Z(:) = 1d0/(1d0 - Z(:))
end subroutine

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@ -1,4 +1,4 @@
subroutine print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM,Ec_eh,Ec_pp)
subroutine G_print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM,Ec_eh,Ec_pp)
! Print one-electron energies and other stuff for G0F2
@ -57,7 +57,7 @@ subroutine print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A60,F15.6,A3)') ' eh-RPA correlation energy = ',Ec_eh,' au'
write(*,'(2X,A60,F15.6,A3)') ' pp-RPA correlation energy = ',Ec_pp,' au'
write(*,'(2X,A60,F15.6,A3)') '(eh+pp)-RPA correlation energy = ',Ec_pp,' au'
!write(*,'(2X,A60,F15.6,A3)') '(eh+pp)-RPA correlation energy = ',Ec_pp,' au'
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)

View File

@ -600,7 +600,7 @@ subroutine RParquet(TDAeh,TDApp,max_diis_1b,max_diis_2b,linearize,eta,ENuc,max_i
write(*,*)' Two-body convergence failed '
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)
stop
!stop
else
@ -624,13 +624,17 @@ subroutine RParquet(TDAeh,TDApp,max_diis_1b,max_diis_2b,linearize,eta,ENuc,max_i
write(*,*) 'Building self-energy'
call wall_time(start_t)
call R_irred_Parquet_self_energy(nOrb,nC,nO,nV,nR,eOld,EcGM,SigC,Z)
call R_Parquet_self_energy(eta,nOrb,nC,nO,nV,nR,nS,nOOs,nVVs,nOOt,nVVt,eOld,ERI, &
eh_sing_rho,old_eh_sing_Om,eh_trip_rho,old_eh_trip_Om, &
ee_sing_rho,old_ee_sing_Om,ee_trip_rho,old_ee_trip_Om, &
hh_sing_rho,old_hh_sing_Om,hh_trip_rho,old_hh_trip_Om, &
EcGM,SigC,Z)
call wall_time(end_t)
t = end_t - start_t
write(*,'(A50,1X,F9.3,A8)') 'Wall time for self energy =',t,' seconds'
write(*,*)
eQPlin(:) = eHF(:) !+ Z(:)*SigC(:)
eQPlin(:) = eHF(:) + Z(:)*SigC(:)
! Solve the quasi-particle equation
@ -647,15 +651,19 @@ subroutine RParquet(TDAeh,TDApp,max_diis_1b,max_diis_2b,linearize,eta,ENuc,max_i
write(*,*)
stop
end if
deallocate(eQPlin,Z,SigC)
end if
! Check one-body converge
err_1b = maxval(abs(eOld - eQP))
eOld(:) = eQP(:)
! Print for one-body part
call R_print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,ERHF,EcGM,Ec_eh,Ec_pp)
deallocate(eQPlin,Z,SigC)
call wall_time(end_1b)
t_1b = end_1b - start_1b
write(*,'(A50,1X,F9.3,A8)') 'Wall time for one-body iteration =',t_1b,' seconds'

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@ -0,0 +1,102 @@
subroutine R_Parquet_self_energy(eta,nOrb,nC,nO,nV,nR,nS,nOOs,nVVs,nOOt,nVVt,eQP,ERI, &
eh_sing_rho,eh_sing_Om,eh_trip_rho,eh_trip_Om, &
ee_sing_rho,ee_sing_Om,ee_trip_rho,ee_trip_Om, &
hh_sing_rho,hh_sing_Om,hh_trip_rho,hh_trip_Om, &
EcGM,SigC,Z)
! Compute correlation part of the self-energy with only irreducible vertices contribution
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: eta
integer,intent(in) :: nOrb,nC,nO,nV,nR
integer,intent(in) :: nS,nOOs,nVVs,nOOt,nVVt
double precision,intent(in) :: eQP(nOrb)
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: eh_sing_rho(nOrb,nOrb,nS)
double precision,intent(in) :: eh_sing_Om(nS)
double precision,intent(in) :: eh_trip_rho(nOrb,nOrb,nS)
double precision,intent(in) :: eh_trip_Om(nS)
double precision,intent(in) :: ee_sing_rho(nOrb,nOrb,nVVs)
double precision,intent(in) :: ee_sing_Om(nVVs)
double precision,intent(in) :: ee_trip_rho(nOrb,nOrb,nVVt)
double precision,intent(in) :: ee_trip_Om(nVVt)
double precision,intent(in) :: hh_sing_rho(nOrb,nOrb,nOOs)
double precision,intent(in) :: hh_sing_Om(nOOs)
double precision,intent(in) :: hh_trip_rho(nOrb,nOrb,nOOt)
double precision,intent(in) :: hh_trip_Om(nOOt)
! Local variables
integer :: i,j,k,a,b,c
integer :: p,n
double precision :: eps,dem1,dem2,reg,reg1,reg2
double precision :: num
double precision :: start_t,end_t,t
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: SigC(nOrb)
double precision,intent(out) :: Z(nOrb)
! Initialize
SigC(:) = 0d0
Z(:) = 0d0
EcGM = 0d0
!-----------------------------!
! GF2 part of the self-energy !
!-----------------------------!
call wall_time(start_t)
do p=nC+1,nOrb-nR
! 2h1p sum
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nOrb-nR
eps = eQP(p) + eQP(a) - eQP(i) - eQP(j)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = ERI(p,a,j,i)*(2d0*ERI(j,i,p,a) - ERI(j,i,a,p))
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
! 2p1h sum
do i=nC+1,nO
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
eps = eQP(p) + eQP(i) - eQP(a) - eQP(b)
reg = (1d0 - exp(- 2d0 * eta * eps * eps))
num = ERI(p,i,b,a)*(2d0*ERI(b,a,p,i) - ERI(b,a,i,p))
SigC(p) = SigC(p) + num*reg/eps
Z(p) = Z(p) - num*reg/eps**2
end do
end do
end do
end do
call wall_time(end_t)
t = end_t - start_t
write(*,'(1X,A50,1X,F9.3,A8)') 'Wall time for building GF(2) self-energy =',t,' seconds'
write(*,*)
!-----------------------------!
! Renormalization factor !
!-----------------------------!
Z(:) = 1d0/(1d0 - Z(:))
!-------------------------------------!
! Galitskii-Migdal correlation energy !
!-------------------------------------!
EcGM = 0d0
end subroutine

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@ -1,94 +0,0 @@
subroutine R_irred_Parquet_self_energy(nOrb,nC,nO,nV,nR,e,EcGM,SigC,Z)
! Compute correlation part of the self-energy with only irreducible vertices contribution
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nOrb,nC,nO,nV,nR
double precision,intent(in) :: e(nOrb)
! Local variables
integer :: p,i,j,a,b
double precision :: D2p1h,D2h1p
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: SigC(nOrb)
double precision,intent(out) :: Z(nOrb)
!----------------------------!
! Static Parquet self-energy !
!----------------------------!
SigC(:) = 0d0
! 2h1p part of the correlation self-energy
do p=nC+1,nOrb-nR
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nOrb-nR
D2h1p = e(p) + e(a) - e(i) - e(j)
SigC(p) = SigC(p) !+ 2d0*rho(p,i,m)**2*(1d0-exp(-2d0*s*Dpim*Dpim))/Dpim
end do
end do
end do
end do
! 2p1h part of the correlation self-energy
do p=nC+1,nOrb-nR
do i=nC+1,nO
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
D2p1h = e(p) + e(i) - e(a) - e(b)
SigC(p) = SigC(p) !+ 2d0*rho(p,a,m)**2*(1d0-exp(-2d0*s*Dpam*Dpam))/Dpam
end do
end do
end do
end do
!------------------------!
! Renormalization factor !
!------------------------!
Z(:) = 0d0
! 2h1p part of the renormlization factor
do p=nC+1,nOrb-nR
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nOrb-nR
D2h1p = e(p) + e(a) - e(i) - e(j)
Z(p) = Z(p)
end do
end do
end do
end do
! 2p1h part of the renormlization factor
do p=nC+1,nOrb-nR
do i=nC+1,nO
do a=nO+1,nOrb-nR
do b=nO+1,nOrb-nR
D2p1h = e(p) + e(i) - e(a) - e(b)
Z(p) = Z(p)
end do
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
! end do
! end do
! end do
end subroutine

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@ -0,0 +1,64 @@
subroutine R_print_parquet_1b(nOrb,nO,eHF,SigC,eQP,Z,n_it_1b,err_1b,ENuc,EGHF,EcGM,Ec_eh,Ec_pp)
! Print one-electron energies and other stuff for G0F2
implicit none
include 'parameters.h'
integer,intent(in) :: nOrb
integer,intent(in) :: nO
double precision,intent(in) :: eHF(nOrb)
double precision,intent(in) :: SigC(nOrb)
double precision,intent(in) :: eQP(nOrb)
double precision,intent(in) :: Z(nOrb)
integer,intent(in) :: n_it_1b
double precision,intent(in) :: err_1b
double precision,intent(in) :: ENuc
double precision,intent(in) :: EGHF
double precision,intent(in) :: EcGM
double precision,intent(in) :: Ec_eh(nspin)
double precision,intent(in) :: Ec_pp(nspin)
integer :: p
integer :: HOMO
integer :: LUMO
double precision :: Gap
! HOMO and LUMO
HOMO = nO
LUMO = HOMO + 1
Gap = eQP(LUMO) - eQP(HOMO)
! Dump results
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' Parquet self-energy '
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') &
'|','#','|','e_HF (eV)','|','Sig_c (eV)','|','Z','|','e_QP (eV)','|'
write(*,*)'-------------------------------------------------------------------------------'
do p=1,nOrb
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',p,'|',eHF(p)*HaToeV,'|',SigC(p)*HaToeV,'|',Z(p),'|',eQP(p)*HaToeV,'|'
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A60,I15)') 'One-body iteration # ',n_it_1b
write(*,'(2X,A60,F15.6)') 'One-body convergence ',err_1b
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A60,F15.6,A3)') 'Parquet HOMO energy = ',eQP(HOMO)*HaToeV,' eV'
write(*,'(2X,A60,F15.6,A3)') 'Parquet LUMO energy = ',eQP(LUMO)*HaToeV,' eV'
write(*,'(2X,A60,F15.6,A3)') 'Parquet HOMO-LUMO gap = ',Gap*HaToeV,' eV'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A60,F15.6,A3)') ' Parquet total energy = ',ENuc + EGHF + EcGM,' au'
write(*,'(2X,A60,F15.6,A3)') ' Parquet correlation energy = ',EcGM,' au'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A60,F15.6,A3)') ' eh-RPA correlation energy = ',Ec_eh(1)+3d0*Ec_eh(2),' au'
write(*,'(2X,A60,F15.6,A3)') ' pp-RPA correlation energy = ',Ec_pp(1)+3d0*Ec_pp(2),' au'
!write(*,'(2X,A60,F15.6,A3)') '(eh+pp)-RPA correlation energy = ',Ec_pp,' au'
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
end subroutine