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mirror of https://github.com/pfloos/quack synced 2024-06-02 11:25:28 +02:00

rename LR matrices

This commit is contained in:
Pierre-Francois Loos 2023-07-12 22:37:04 +02:00
parent 75415d2427
commit 76bc19504d
33 changed files with 157 additions and 143 deletions

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@ -45,7 +45,7 @@ subroutine CIS(singlet,triplet,doCIS_D,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF)
if(singlet) then if(singlet) then
ispin = 1 ispin = 1
call linear_response_A_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,lambda,eHF,ERI,A) call phLR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS,lambda,eHF,ERI,A)
if(dump_matrix) then if(dump_matrix) then
print*,'CIS matrix (singlet state)' print*,'CIS matrix (singlet state)'
@ -73,7 +73,7 @@ subroutine CIS(singlet,triplet,doCIS_D,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF)
if(triplet) then if(triplet) then
ispin = 2 ispin = 2
call linear_response_A_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,lambda,eHF,ERI,A) call phLR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS,lambda,eHF,ERI,A)
if(dump_matrix) then if(dump_matrix) then
print*,'CIS matrix (triplet state)' print*,'CIS matrix (triplet state)'
@ -98,4 +98,4 @@ subroutine CIS(singlet,triplet,doCIS_D,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF)
endif endif
end subroutine CIS end subroutine

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@ -430,4 +430,4 @@
call print_G0F3(nBas,nO,e0,Z,eGF3) call print_G0F3(nBas,nO,e0,Z,eGF3)
end subroutine G0F3 end subroutine

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@ -22,26 +22,29 @@ double precision function SigmaC_GF2(p,w,eta,nBas,nC,nO,nV,nR,nS,eHF,ERI)
SigmaC_GF2 = 0d0 SigmaC_GF2 = 0d0
! Occupied part of the correlation self-energy ! Occupied part of the correlation self-energy
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
eps = w + eHF(a) - eHF(i) - eHF(j) do i=nC+1,nO
SigmaC_GF2 = SigmaC_GF2 + (2d0*ERI(p,a,i,j) - ERI(p,a,j,i))*ERI(p,a,i,j)*eps/(eps**2 + eta**2) do j=nC+1,nO
do a=nO+1,nBas-nR
eps = w + eHF(a) - eHF(i) - eHF(j)
SigmaC_GF2 = SigmaC_GF2 + (2d0*ERI(p,a,i,j) - ERI(p,a,j,i))*ERI(p,a,i,j)*eps/(eps**2 + eta**2)
end do end do
end do end do
end do end do
! Virtual part of the correlation self-energy ! Virtual part of the correlation self-energy
do i=nC+1,nO do i=nC+1,nO
do a=nO+1,nBas-nR do a=nO+1,nBas-nR
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
eps = w + eHF(i) - eHF(a) - eHF(b) eps = w + eHF(i) - eHF(a) - eHF(b)
SigmaC_GF2 = SigmaC_GF2 + (2d0*ERI(p,i,a,b) - ERI(p,i,b,a))*ERI(p,i,a,b)*eps/(eps**2 + eta**2) SigmaC_GF2 = SigmaC_GF2 + (2d0*ERI(p,i,a,b) - ERI(p,i,b,a))*ERI(p,i,a,b)*eps/(eps**2 + eta**2)
end do
end do end do
end do end do
end do
end function SigmaC_GF2 end function

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@ -128,4 +128,4 @@ subroutine UG0F2(BSE,TDA,dBSE,dTDA,evDyn,spin_conserved,spin_flip,linearize,eta,
end if end if
end subroutine UG0F2 end subroutine

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@ -24,26 +24,29 @@ double precision function dSigmaC_GF2(p,w,eta,nBas,nC,nO,nV,nR,nS,eHF,ERI)
dSigmaC_GF2 = 0d0 dSigmaC_GF2 = 0d0
! Occupied part of the correlation self-energy ! Occupied part of the correlation self-energy
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
eps = w + eHF(a) - eHF(i) - eHF(j)
dSigmaC_GF2 = dSigmaC_GF2 - (2d0*ERI(p,a,i,j) - ERI(p,a,j,i))*ERI(p,a,i,j)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
! Virtual part of the correlation self-energy
do i=nC+1,nO do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
eps = w + eHF(i) - eHF(a) - eHF(b) eps = w + eHF(a) - eHF(i) - eHF(j)
dSigmaC_GF2 = dSigmaC_GF2 - (2d0*ERI(p,i,a,b) - ERI(p,i,b,a))*ERI(p,i,a,b)*(eps**2 - eta**2)/(eps**2 + eta**2)**2 dSigmaC_GF2 = dSigmaC_GF2 - (2d0*ERI(p,a,i,j) - ERI(p,a,j,i))*ERI(p,a,i,j)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do end do
end do end do
end do
end function dSigmaC_GF2 ! Virtual part of the correlation self-energy
do i=nC+1,nO
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
eps = w + eHF(i) - eHF(a) - eHF(b)
dSigmaC_GF2 = dSigmaC_GF2 - (2d0*ERI(p,i,a,b) - ERI(p,i,b,a))*ERI(p,i,a,b)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
end function

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@ -491,4 +491,4 @@
endif endif
end subroutine evGF3 end subroutine

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@ -201,4 +201,4 @@ subroutine evUGF2(maxSCF,thresh,max_diis,BSE,TDA,dBSE,dTDA,evDyn,spin_conserved,
endif endif
end subroutine evUGF2 end subroutine

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@ -50,4 +50,4 @@ subroutine print_G0F2(nBas,nO,eHF,Sig,eGF2,Z,ENuc,ERHF,Ec)
write(*,*)'-------------------------------------------------------------------------------' write(*,*)'-------------------------------------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_G0F2 end subroutine

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@ -38,4 +38,4 @@ subroutine print_G0F3(nBas,nO,eHF,Z,eGF3)
write(*,*)'-------------------------------------------------------------' write(*,*)'-------------------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_G0F3 end subroutine

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@ -68,6 +68,4 @@ subroutine print_UG0F2(nBas,nO,eHF,ENuc,EUHF,SigC,Z,eGF2,Ec)
-------------------------------------------------' -------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_UG0F2 end subroutine

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@ -56,4 +56,4 @@ subroutine print_evGF2(nBas,nO,nSCF,Conv,eHF,Sig,Z,eGF2,ENuc,ERHF,Ec)
write(*,*)'-------------------------------------------------------------------------------' write(*,*)'-------------------------------------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_evGF2 end subroutine

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@ -41,4 +41,4 @@ subroutine print_evGF3(nBas,nO,nSCF,Conv,eHF,Z,eGF3)
write(*,*)'-------------------------------------------------------------' write(*,*)'-------------------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_evGF3 end subroutine

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@ -78,4 +78,4 @@ subroutine print_evUGF2(nBas,nO,nSCF,Conv,eHF,ENuc,EUHF,SigC,Z,eGF2,Ec)
-------------------------------------------------' -------------------------------------------------'
write(*,*) write(*,*)
end subroutine print_evUGF2 end subroutine

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@ -116,4 +116,4 @@ subroutine print_qsGF2(nBas,nO,nSCF,Conv,thresh,eHF,eGF2,c,P,T,V,J,K,F,SigC,Z, &
endif endif
end subroutine print_qsGF2 end subroutine

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@ -175,4 +175,4 @@ subroutine print_qsUGF2(nBas,nO,nSCF,Conv,thresh,eHF,eGF2,cGF2,PGF2,Ov,T,V,J,K,
endif endif
end subroutine print_qsUGF2 end subroutine

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@ -337,4 +337,4 @@ subroutine qsUGF2(maxSCF,thresh,max_diis,BSE,TDA,dBSE,dTDA,evDyn,spin_conserved,
end if end if
end subroutine qsUGF2 end subroutine

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@ -87,4 +87,4 @@ subroutine regularized_self_energy_GF2(eta,nBas,nC,nO,nV,nR,nS,eHF,eGF2,ERI,SigC
Z(:) = 1d0/(1d0 - Z(:)) Z(:) = 1d0/(1d0 - Z(:))
end subroutine regularized_self_energy_GF2 end subroutine

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@ -34,22 +34,23 @@ double precision function SigmaC_GT(p,w,eta,nBas,nC,nO,nV,nR,nOO,nVV,e,Omega1,rh
!---------------------------------------------- !----------------------------------------------
! Occupied part of the T-matrix self-energy ! Occupied part of the T-matrix self-energy
!---------------------------------------------- !----------------------------------------------
do i=nC+1,nO do i=nC+1,nO
do cd=1,nVV do cd=1,nVV
eps = w + e(i) - Omega1(cd) eps = w + e(i) - Omega1(cd)
SigmaC_GT = SigmaC_GT + rho1(p,i,cd)**2*eps/(eps**2 + eta**2) SigmaC_GT = SigmaC_GT + rho1(p,i,cd)**2*eps/(eps**2 + eta**2)
enddo enddo
enddo enddo
write (*,*) SigmaC_GT
!---------------------------------------------- !----------------------------------------------
! Virtual part of the T-matrix self-energy ! Virtual part of the T-matrix self-energy
!---------------------------------------------- !----------------------------------------------
do a=nO+1,nBas-nR do a=nO+1,nBas-nR
do kl=1,nOO do kl=1,nOO
eps = w + e(a) - Omega2(kl) eps = w + e(a) - Omega2(kl)
SigmaC_GT = SigmaC_GT + rho2(p,a,kl)**2*eps/(eps**2 + eta**2) SigmaC_GT = SigmaC_GT + rho2(p,a,kl)**2*eps/(eps**2 + eta**2)
enddo enddo
enddo enddo
write (*,*) SigmaC_GT
end function SigmaC_GT end function

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@ -35,20 +35,26 @@ double precision function dSigmaC_GT(p,w,eta,nBas,nC,nO,nV,nR,nOO,nVV,e,Omega1,r
!---------------------------------------------- !----------------------------------------------
! Occupied part of the T-matrix self-energy ! Occupied part of the T-matrix self-energy
!---------------------------------------------- !----------------------------------------------
do i=nC+1,nO do i=nC+1,nO
do cd=1,nVV do cd=1,nVV
eps = w + e(i) - Omega1(cd)
dSigmaC_GT = dSigmaC_GT - rho1(p,i,cd)**2*(eps**2 - eta**2)/(eps**2 + eta**2)**2 eps = w + e(i) - Omega1(cd)
enddo dSigmaC_GT = dSigmaC_GT - rho1(p,i,cd)**2*(eps**2 - eta**2)/(eps**2 + eta**2)**2
enddo
enddo enddo
!---------------------------------------------- !----------------------------------------------
! Virtual part of the T-matrix self-energy ! Virtual part of the T-matrix self-energy
!
!---------------------------------------------- !----------------------------------------------
do a=nO+1,nBas-nR do a=nO+1,nBas-nR
do kl=1,nOO do kl=1,nOO
eps = w + e(a) - Omega2(kl) eps = w + e(a) - Omega2(kl)
dSigmaC_GT = dSigmaC_GT - rho2(p,a,kl)**2*(eps**2 - eta**2)/(eps**2 + eta**2)**2 dSigmaC_GT = dSigmaC_GT - rho2(p,a,kl)**2*(eps**2 - eta**2)/(eps**2 + eta**2)**2
enddo enddo
enddo enddo
end function dSigmaC_GT end function

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@ -83,8 +83,7 @@ subroutine soG0T0(eta,nBas,nC,nO,nV,nR,ENuc,ERHF,ERI,eHF)
! Compute linear response ! Compute linear response
call linear_response_pp(ispin,.false.,nBas2,nC2,nO2,nV2,nR2,nOO,nVV,1d0,seHF,sERI, & call ppLR(ispin,.false.,nBas2,nC2,nO2,nV2,nR2,nOO,nVV,1d0,seHF,sERI,Omega1,X1,Y1,Omega2,X2,Y2,EcRPA)
Omega1,X1,Y1,Omega2,X2,Y2,EcRPA)
call print_excitation('pp-RPA (N+2)',ispin,nVV,Omega1) call print_excitation('pp-RPA (N+2)',ispin,nVV,Omega1)
call print_excitation('pp-RPA (N-2)',ispin,nOO,Omega2) call print_excitation('pp-RPA (N-2)',ispin,nOO,Omega2)

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@ -38,8 +38,8 @@ subroutine RHF_stability(nBas,nC,nO,nV,nR,nS,eHF,ERI)
ispin = 1 ispin = 1
call linear_response_A_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,A) call phLR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,A)
call linear_response_B_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,ERI,B) call phLR_B(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,ERI,B)
AB(:,:) = A(:,:) + B(:,:) AB(:,:) = A(:,:) + B(:,:)
@ -111,8 +111,8 @@ subroutine RHF_stability(nBas,nC,nO,nV,nR,nS,eHF,ERI)
ispin = 2 ispin = 2
call linear_response_A_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,A) call phLR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,A)
call linear_response_B_matrix(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,ERI,B) call phLR_B(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,ERI,B)
AB(:,:) = A(:,:) + B(:,:) AB(:,:) = A(:,:) + B(:,:)
@ -144,4 +144,4 @@ subroutine RHF_stability(nBas,nC,nO,nV,nR,nS,eHF,ERI)
write(*,*)'-------------------------------------------------------------' write(*,*)'-------------------------------------------------------------'
write(*,*) write(*,*)
end subroutine RHF_stability end subroutine

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@ -48,7 +48,7 @@ subroutine linear_response_BSE(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nS,lambda
! Build A and B matrices ! Build A and B matrices
call linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,A) call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,A)
if(BSE) A(:,:) = A(:,:) - A_BSE(:,:) if(BSE) A(:,:) = A(:,:) - A_BSE(:,:)
@ -64,7 +64,7 @@ subroutine linear_response_BSE(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nS,lambda
else else
call linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B)
if(BSE) B(:,:) = B(:,:) - B_BSE(:,:) if(BSE) B(:,:) = B(:,:) - B_BSE(:,:)
@ -104,4 +104,4 @@ subroutine linear_response_BSE(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nS,lambda
Ec = 0.5d0*(sum(Omega) - trace_matrix(nS,A)) Ec = 0.5d0*(sum(Omega) - trace_matrix(nS,A))
end subroutine linear_response_BSE end subroutine

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@ -64,8 +64,8 @@ subroutine linear_response_pp_BSE(ispin,TDA,BSE,nBas,nC,nO,nV,nR,nOO,nVV,lambda,
! Build B, C and D matrices for the pp channel ! Build B, C and D matrices for the pp channel
call linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C) call ppLR_C(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C)
call linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D) call ppLR_D(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D)
if(BSE) then if(BSE) then
@ -86,7 +86,7 @@ subroutine linear_response_pp_BSE(ispin,TDA,BSE,nBas,nC,nO,nV,nR,nOO,nVV,lambda,
else else
call linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B) call ppLR_B(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B)
if(BSE) B(:,:) = B(:,:) - WB(:,:) if(BSE) B(:,:) = B(:,:) - WB(:,:)
! Diagonal blocks ! Diagonal blocks
@ -118,4 +118,4 @@ subroutine linear_response_pp_BSE(ispin,TDA,BSE,nBas,nC,nO,nV,nR,nOO,nVV,lambda,
if(abs(EcBSE - EcBSE1) > 1d-6 .or. abs(EcBSE - EcBSE2) > 1d-6) & if(abs(EcBSE - EcBSE1) > 1d-6 .or. abs(EcBSE - EcBSE2) > 1d-6) &
print*,'!!! Issue in pp-BSE linear reponse calculation BSE1 != BSE2 !!!' print*,'!!! Issue in pp-BSE linear reponse calculation BSE1 != BSE2 !!!'
end subroutine linear_response_pp_BSE end subroutine

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@ -48,7 +48,7 @@ subroutine phLR(ispin,dRPA,TDA,eta,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,Ec,Omega,XpY
! Build A and B matrices ! Build A and B matrices
call linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,A) call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,A)
! Tamm-Dancoff approximation ! Tamm-Dancoff approximation
@ -62,7 +62,7 @@ subroutine phLR(ispin,dRPA,TDA,eta,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,Ec,Omega,XpY
else else
call linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B)
! Build A + B and A - B matrices ! Build A + B and A - B matrices

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@ -1,6 +1,6 @@
subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,A_lr) subroutine phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,Aph)
! Compute linear response ! Compute resonant block of the ph channel
implicit none implicit none
include 'parameters.h' include 'parameters.h'
@ -8,7 +8,13 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
! Input variables ! Input variables
logical,intent(in) :: dRPA logical,intent(in) :: dRPA
integer,intent(in) :: ispin,nBas,nC,nO,nV,nR,nS integer,intent(in) :: ispin
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nS
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: e(nBas) double precision,intent(in) :: e(nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
@ -22,7 +28,7 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
! Output variables ! Output variables
double precision,intent(out) :: A_lr(nS,nS) double precision,intent(out) :: Aph(nS,nS)
! Direct RPA ! Direct RPA
@ -42,8 +48,8 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
A_lr(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) & Aph(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
+ 2d0*lambda*ERI(i,b,a,j) - (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a) + 2d0*lambda*ERI(i,b,a,j) - (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a)
end do end do
end do end do
@ -65,8 +71,8 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
A_lr(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) & Aph(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
- (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a) - (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a)
end do end do
end do end do
@ -88,8 +94,8 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
A_lr(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) & Aph(ia,jb) = (e(a) - e(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
+ lambda*ERI(i,b,a,j) - (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a) + lambda*ERI(i,b,a,j) - (1d0 - delta_dRPA)*lambda*ERI(i,b,j,a)
end do end do
end do end do
@ -98,4 +104,4 @@ subroutine linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,
end if end if
end subroutine linear_response_A_matrix end subroutine

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@ -1,6 +1,6 @@
subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_lr) subroutine phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,Bph)
! Compute linear response ! Compute the coupling block of the ph channel
implicit none implicit none
include 'parameters.h' include 'parameters.h'
@ -20,7 +20,7 @@ subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_
! Output variables ! Output variables
double precision,intent(out) :: B_lr(nS,nS) double precision,intent(out) :: Bph(nS,nS)
! Direct RPA ! Direct RPA
@ -40,7 +40,7 @@ subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
B_lr(ia,jb) = 2d0*lambda*ERI(i,j,a,b) - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a) Bph(ia,jb) = 2d0*lambda*ERI(i,j,a,b) - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a)
end do end do
end do end do
@ -62,7 +62,7 @@ subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
B_lr(ia,jb) = - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a) Bph(ia,jb) = - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a)
end do end do
end do end do
@ -84,7 +84,7 @@ subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_
do b=nO+1,nBas-nR do b=nO+1,nBas-nR
jb = jb + 1 jb = jb + 1
B_lr(ia,jb) = lambda*ERI(i,j,a,b) - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a) Bph(ia,jb) = lambda*ERI(i,j,a,b) - (1d0 - delta_dRPA)*lambda*ERI(i,j,b,a)
end do end do
end do end do
@ -93,4 +93,4 @@ subroutine linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,B_
end if end if
end subroutine linear_response_B_matrix end subroutine

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@ -61,8 +61,8 @@ subroutine ppLR(ispin,TDA,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,Omega1,X1,Y1,Ome
! Build B, C and D matrices for the pp channel ! Build B, C and D matrices for the pp channel
call linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C) call ppLR_C(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C)
call linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D) call ppLR_D(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D)
if(TDA) then if(TDA) then
@ -76,7 +76,7 @@ subroutine ppLR(ispin,TDA,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,Omega1,X1,Y1,Ome
else else
call linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B) call ppLR_B(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B)
! Diagonal blocks ! Diagonal blocks

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@ -1,4 +1,4 @@
subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp) subroutine ppLR_B(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,Bpp)
! Compute the B matrix of the pp channel ! Compute the B matrix of the pp channel
@ -25,7 +25,7 @@ subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp)
! Output variables ! Output variables
double precision,intent(out) :: B_pp(nVV,nOO) double precision,intent(out) :: Bpp(nVV,nOO)
! Build B matrix for the singlet manifold ! Build B matrix for the singlet manifold
@ -40,7 +40,7 @@ subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp)
do j=i,nO do j=i,nO
ij = ij + 1 ij = ij + 1
B_pp(ab,ij) = lambda*(ERI(a,b,i,j) + ERI(a,b,j,i))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(i,j))) Bpp(ab,ij) = lambda*(ERI(a,b,i,j) + ERI(a,b,j,i))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(i,j)))
end do end do
end do end do
@ -62,7 +62,7 @@ subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp)
do j=i+1,nO do j=i+1,nO
ij = ij + 1 ij = ij + 1
B_pp(ab,ij) = lambda*(ERI(a,b,i,j) - ERI(a,b,j,i)) Bpp(ab,ij) = lambda*(ERI(a,b,i,j) - ERI(a,b,j,i))
end do end do
end do end do
@ -84,7 +84,7 @@ subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp)
do j=nC+1,nO do j=nC+1,nO
ij = ij + 1 ij = ij + 1
B_pp(ab,ij) = lambda*ERI(a,b,i,j) Bpp(ab,ij) = lambda*ERI(a,b,i,j)
end do end do
end do end do
@ -93,4 +93,4 @@ subroutine linear_response_B_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,B_pp)
end if end if
end subroutine linear_response_B_pp end subroutine

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@ -1,4 +1,4 @@
subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp) subroutine ppLR_C(ispin,nBas,nC,nO,nV,nR,nVV,lambda,e,ERI,Cpp)
! Compute the C matrix of the pp channel ! Compute the C matrix of the pp channel
@ -13,7 +13,6 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
integer,intent(in) :: nO integer,intent(in) :: nO
integer,intent(in) :: nV integer,intent(in) :: nV
integer,intent(in) :: nR integer,intent(in) :: nR
integer,intent(in) :: nOO
integer,intent(in) :: nVV integer,intent(in) :: nVV
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas) double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas)
@ -27,7 +26,7 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
! Output variables ! Output variables
double precision,intent(out) :: C_pp(nVV,nVV) double precision,intent(out) :: Cpp(nVV,nVV)
! Define the chemical potential ! Define the chemical potential
@ -47,8 +46,8 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
do d=c,nBas-nR do d=c,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) & Cpp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ lambda*(ERI(a,b,c,d) + ERI(a,b,d,c))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(c,d))) + lambda*(ERI(a,b,c,d) + ERI(a,b,d,c))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(c,d)))
end do end do
end do end do
@ -70,8 +69,8 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
do d=c+1,nBas-nR do d=c+1,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) & Cpp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ lambda*(ERI(a,b,c,d) - ERI(a,b,d,c)) + lambda*(ERI(a,b,c,d) - ERI(a,b,d,c))
end do end do
end do end do
@ -93,8 +92,8 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
do d=nO+1,nBas-nR do d=nO+1,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) & Cpp(ab,cd) = + (e(a) + e(b) - eF)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ lambda*ERI(a,b,c,d) + lambda*ERI(a,b,c,d)
end do end do
end do end do
@ -103,4 +102,4 @@ subroutine linear_response_C_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,C_pp
end if end if
end subroutine linear_response_C_pp end subroutine

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@ -1,4 +1,4 @@
subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_pp) subroutine ppLR_C_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,Cpp)
! Compute the C matrix of the pp channel (without diagonal term) ! Compute the C matrix of the pp channel (without diagonal term)
@ -20,7 +20,7 @@ subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_p
! Output variables ! Output variables
double precision,intent(out) :: C_pp(nVV,nVV) double precision,intent(out) :: Cpp(nVV,nVV)
! Build C matrix for the singlet manifold ! Build C matrix for the singlet manifold
@ -35,7 +35,7 @@ subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_p
do d=c,nBas-nR do d=c,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = lambda*(ERI(a,b,c,d) + ERI(a,b,d,c))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(c,d))) Cpp(ab,cd) = lambda*(ERI(a,b,c,d) + ERI(a,b,d,c))/sqrt((1d0 + Kronecker_delta(a,b))*(1d0 + Kronecker_delta(c,d)))
end do end do
end do end do
@ -57,7 +57,7 @@ subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_p
do d=c+1,nBas-nR do d=c+1,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = lambda*(ERI(a,b,c,d) - ERI(a,b,d,c)) Cpp(ab,cd) = lambda*(ERI(a,b,c,d) - ERI(a,b,d,c))
end do end do
end do end do
@ -79,7 +79,7 @@ subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_p
do d=nO+1,nBas-nR do d=nO+1,nBas-nR
cd = cd + 1 cd = cd + 1
C_pp(ab,cd) = lambda*ERI(a,b,c,d) Cpp(ab,cd) = lambda*ERI(a,b,c,d)
end do end do
end do end do
@ -88,4 +88,4 @@ subroutine linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,C_p
end if end if
end subroutine linear_response_C_pp_od end subroutine

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@ -1,4 +1,4 @@
subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp) subroutine ppLR_D(ispin,nBas,nC,nO,nV,nR,nOO,lambda,e,ERI,Dpp)
! Compute the D matrix of the pp channel ! Compute the D matrix of the pp channel
@ -14,7 +14,6 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
integer,intent(in) :: nV integer,intent(in) :: nV
integer,intent(in) :: nR integer,intent(in) :: nR
integer,intent(in) :: nOO integer,intent(in) :: nOO
integer,intent(in) :: nVV
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas) double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas)
@ -27,7 +26,7 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
! Output variables ! Output variables
double precision,intent(out) :: D_pp(nOO,nOO) double precision,intent(out) :: Dpp(nOO,nOO)
! Define the chemical potential ! Define the chemical potential
@ -47,8 +46,8 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
do l=k,nO do l=k,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) & Dpp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ lambda*(ERI(i,j,k,l) + ERI(i,j,l,k))/sqrt((1d0 + Kronecker_delta(i,j))*(1d0 + Kronecker_delta(k,l))) + lambda*(ERI(i,j,k,l) + ERI(i,j,l,k))/sqrt((1d0 + Kronecker_delta(i,j))*(1d0 + Kronecker_delta(k,l)))
end do end do
end do end do
@ -70,8 +69,8 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
do l=k+1,nO do l=k+1,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) & Dpp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ lambda*(ERI(i,j,k,l) - ERI(i,j,l,k)) + lambda*(ERI(i,j,k,l) - ERI(i,j,l,k))
end do end do
end do end do
@ -93,8 +92,8 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
do l=nC+1,nO do l=nC+1,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) & Dpp(ij,kl) = - (e(i) + e(j) - eF)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ lambda*ERI(i,j,k,l) + lambda*ERI(i,j,k,l)
end do end do
end do end do
@ -103,4 +102,4 @@ subroutine linear_response_D_pp(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,e,ERI,D_pp
end if end if
end subroutine linear_response_D_pp end subroutine

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@ -1,4 +1,4 @@
subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_pp) subroutine ppLR_D_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,Dpp)
! Compute the D matrix of the pp channel (without the diagonal term) ! Compute the D matrix of the pp channel (without the diagonal term)
@ -20,7 +20,7 @@ subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_p
! Output variables ! Output variables
double precision,intent(out) :: D_pp(nOO,nOO) double precision,intent(out) :: Dpp(nOO,nOO)
! Build the D matrix for the singlet manifold ! Build the D matrix for the singlet manifold
@ -35,7 +35,7 @@ subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_p
do l=k,nO do l=k,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = lambda*(ERI(i,j,k,l) + ERI(i,j,l,k))/sqrt((1d0 + Kronecker_delta(i,j))*(1d0 + Kronecker_delta(k,l))) Dpp(ij,kl) = lambda*(ERI(i,j,k,l) + ERI(i,j,l,k))/sqrt((1d0 + Kronecker_delta(i,j))*(1d0 + Kronecker_delta(k,l)))
end do end do
end do end do
@ -57,7 +57,7 @@ subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_p
do l=k+1,nO do l=k+1,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = lambda*(ERI(i,j,k,l) - ERI(i,j,l,k)) Dpp(ij,kl) = lambda*(ERI(i,j,k,l) - ERI(i,j,l,k))
end do end do
end do end do
@ -79,7 +79,7 @@ subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_p
do l=nC+1,nO do l=nC+1,nO
kl = kl + 1 kl = kl + 1
D_pp(ij,kl) = lambda*ERI(i,j,k,l) Dpp(ij,kl) = lambda*ERI(i,j,k,l)
end do end do
end do end do
@ -88,4 +88,4 @@ subroutine linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,lambda,ERI,D_p
end if end if
end subroutine linear_response_D_pp_od end subroutine

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@ -35,9 +35,9 @@ subroutine ACFDT_pp_correlation_energy(ispin,nBas,nC,nO,nV,nR,nS,ERI,nOO,nVV,X1,
! Build pp matrices ! Build pp matrices
call linear_response_B_pp (ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,B) call ppLR_B (ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,B)
call linear_response_C_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,C) call ppLR_C_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,C)
call linear_response_D_pp_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,D) call ppLR_D_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,D)
! Compute Tr(K x P_lambda) ! Compute Tr(K x P_lambda)