2023-07-20 12:37:54 +02:00
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subroutine GTpp_phACFDT(exchange_kernel,doXBS,dRPA,TDA_T,TDA,BSE,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS, &
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nOOs,nVVs,nOOt,nVVt,Om1s,X1s,Y1s,Om2s,X2s,Y2s,rho1s,rho2s,Om1t,X1t,Y1t, &
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Om2t,X2t,Y2t,rho1t,rho2t,ERI,eT,eGT,EcAC)
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2023-07-18 15:07:39 +02:00
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! Compute the correlation energy via the adiabatic connection fluctuation dissipation theorem for the T-matrix
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implicit none
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include 'parameters.h'
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include 'quadrature.h'
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! Input variables
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logical,intent(in) :: doXBS
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logical,intent(in) :: exchange_kernel
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logical,intent(in) :: dRPA
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logical,intent(in) :: TDA_T
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logical,intent(in) :: TDA
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logical,intent(in) :: BSE
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logical,intent(in) :: singlet
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logical,intent(in) :: triplet
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double precision,intent(in) :: eta
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integer,intent(in) :: nBas
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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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integer,intent(in) :: nOOs
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integer,intent(in) :: nOOt
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integer,intent(in) :: nVVs
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integer,intent(in) :: nVVt
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double precision,intent(in) :: Om1s(nVVs)
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double precision,intent(in) :: X1s(nVVs,nVVs)
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double precision,intent(in) :: Y1s(nOOs,nVVs)
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double precision,intent(in) :: Om2s(nOOs)
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double precision,intent(in) :: X2s(nVVs,nOOs)
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double precision,intent(in) :: Y2s(nOOs,nOOs)
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double precision,intent(in) :: rho1s(nBas,nBas,nVVs)
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double precision,intent(in) :: rho2s(nBas,nBas,nOOs)
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double precision,intent(in) :: Om1t(nVVt)
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double precision,intent(in) :: X1t(nVVt,nVVt)
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double precision,intent(in) :: Y1t(nOOt,nVVt)
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double precision,intent(in) :: Om2t(nOOt)
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double precision,intent(in) :: X2t(nVVt,nOOt)
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double precision,intent(in) :: Y2t(nOOt,nOOt)
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double precision,intent(in) :: rho1t(nBas,nBas,nVVt)
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double precision,intent(in) :: rho2t(nBas,nBas,nOOt)
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double precision,intent(in) :: eT(nBas)
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double precision,intent(in) :: eGT(nBas)
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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! Local variables
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integer :: ispin
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integer :: isp_T
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integer :: iblock
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integer :: iAC
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double precision :: lambda
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double precision,allocatable :: Ec(:,:)
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double precision :: EcRPA(nspin)
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2023-07-20 12:37:54 +02:00
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double precision,allocatable :: Aph(:,:)
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double precision,allocatable :: Bph(:,:)
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double precision,allocatable :: Bpp(:,:)
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double precision,allocatable :: Cpp(:,:)
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double precision,allocatable :: Dpp(:,:)
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2023-07-18 15:07:39 +02:00
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double precision,allocatable :: TAs(:,:)
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double precision,allocatable :: TBs(:,:)
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double precision,allocatable :: TAt(:,:)
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double precision,allocatable :: TBt(:,:)
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2023-07-20 12:37:54 +02:00
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double precision,allocatable :: Om(:)
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double precision,allocatable :: XpY(:,:)
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double precision,allocatable :: XmY(:,:)
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2023-07-18 15:07:39 +02:00
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! Output variables
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double precision,intent(out) :: EcAC(nspin)
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! Memory allocation
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2023-07-20 12:37:54 +02:00
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allocate(Aph(nS,nS),Bph(nS,nS),TAs(nS,nS),TBs(nS,nS),TAt(nS,nS),TBt(nS,nS),Om(nS),XpY(nS,nS),XmY(nS,nS))
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2023-07-18 15:07:39 +02:00
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allocate(Ec(nAC,nspin))
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! Antisymmetrized kernel version
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if(exchange_kernel) then
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write(*,*)
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write(*,*) '*** Exchange kernel version ***'
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write(*,*)
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end if
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EcAC(:) = 0d0
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Ec(:,:) = 0d0
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! Singlet manifold
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if(singlet) then
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ispin = 1
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write(*,*) '--------------'
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write(*,*) 'Singlet states'
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write(*,*) '--------------'
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write(*,*)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,'(2X,A15,1X,A30,1X,A30)') 'lambda','Ec(lambda)','Tr(K x P_lambda)'
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write(*,*) '-----------------------------------------------------------------------------------'
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do iAC=1,nAC
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lambda = rAC(iAC)
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if(doXBS) then
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isp_T = 1
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iblock = 3
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2023-07-20 12:37:54 +02:00
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allocate(Bpp(nVVs,nOOs),Cpp(nVVs,nVVs),Dpp(nOOs,nOOs))
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if(.not.TDA_T) call ppLR_B(iblock,nBas,nC,nO,nV,nR,nOOs,nVVs,lambda,ERI,Bpp)
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call ppLR_C(iblock,nBas,nC,nO,nV,nR,nVVs,lambda,eT,ERI,Cpp)
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call ppLR_D(iblock,nBas,nC,nO,nV,nR,nOOs,lambda,eT,ERI,Dpp)
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call ppLR(TDA_T,nOOs,nVVs,Bpp,Cpp,Dpp,Om1s,X1s,Y1s,Om2s,X2s,Y2s,EcRPA(isp_T))
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deallocate(Bpp,Cpp,Dpp)
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2023-07-18 15:07:39 +02:00
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call GTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nOOs,nVVs,ERI,X1s,Y1s,rho1s,X2s,Y2s,rho2s)
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call static_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOOs,nVVs,lambda,Om1s,rho1s,Om2s,rho2s,TAs)
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if(.not.TDA) call static_Tmatrix_B(eta,nBas,nC,nO,nV,nR,nS,nOOs,nVVs,lambda,Om1s,rho1s,Om2s,rho2s,TBs)
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isp_T = 2
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iblock = 4
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2023-07-20 12:37:54 +02:00
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allocate(Bpp(nVVt,nOOt),Cpp(nVVt,nVVt),Dpp(nOOt,nOOt))
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if(.not.TDA_T) call ppLR_B(iblock,nBas,nC,nO,nV,nR,nOOt,nVVt,lambda,ERI,Bpp)
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call ppLR_C(iblock,nBas,nC,nO,nV,nR,nVVt,lambda,eT,ERI,Cpp)
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call ppLR_D(iblock,nBas,nC,nO,nV,nR,nOOt,lambda,eT,ERI,Dpp)
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call ppLR(TDA_T,nOOt,nVVt,Bpp,Cpp,Dpp,Om1t,X1t,Y1t,Om2t,X2t,Y2t,EcRPA(isp_T))
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deallocate(Bpp,Cpp,Dpp)
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2023-07-18 15:07:39 +02:00
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call GTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nOOt,nVVt,ERI,X1t,Y1t,rho1t,X2t,Y2t,rho2t)
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call static_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOOt,nVVt,lambda,Om1t,rho1t,Om2t,rho2t,TAt)
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if(.not.TDA) call static_Tmatrix_B(eta,nBas,nC,nO,nV,nR,nS,nOOt,nVVt,lambda,Om1t,rho1t,Om2t,rho2t,TBt)
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end if
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2023-07-20 12:37:54 +02:00
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call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,eGT,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,Bph)
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Aph(:,:) = Aph(:,:) + TAt(:,:) + TAs(:,:)
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if(.not.TDA) Bph(:,:) = Bph(:,:) + TBt(:,:) + TBs(:,:)
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call phLR(TDA,nS,Aph,Bph,EcAc(ispin),Om,XpY,XmY)
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2023-07-18 15:07:39 +02:00
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2023-07-20 12:37:54 +02:00
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call phACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,ERI,XpY,XmY,Ec(iAC,ispin))
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2023-07-18 15:07:39 +02:00
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write(*,'(2X,F15.6,1X,F30.15,1X,F30.15)') lambda,EcAC(ispin),Ec(iAC,ispin)
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end do
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EcAC(ispin) = 0.5d0*dot_product(wAC,Ec(:,ispin))
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if(exchange_kernel) EcAC(ispin) = 0.5d0*EcAC(ispin)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,'(2X,A50,1X,F15.6)') ' Ec(AC) via Gauss-Legendre quadrature:',EcAC(ispin)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,*)
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end if
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! Triplet manifold
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if(triplet) then
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ispin = 2
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write(*,*) '--------------'
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write(*,*) 'Triplet states'
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write(*,*) '--------------'
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write(*,*)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,'(2X,A15,1X,A30,1X,A30)') 'lambda','Ec(lambda)','Tr(K x P_lambda)'
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write(*,*) '-----------------------------------------------------------------------------------'
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do iAC=1,nAC
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lambda = rAC(iAC)
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if(doXBS) then
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isp_T = 1
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iblock = 3
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2023-07-20 12:37:54 +02:00
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allocate(Bpp(nVVs,nOOs),Cpp(nVVs,nVVs),Dpp(nOOs,nOOs))
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if(.not.TDA_T) call ppLR_B(iblock,nBas,nC,nO,nV,nR,nOOs,nVVs,lambda,ERI,Bpp)
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call ppLR_C(iblock,nBas,nC,nO,nV,nR,nVVs,lambda,eT,ERI,Cpp)
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call ppLR_D(iblock,nBas,nC,nO,nV,nR,nOOs,lambda,eT,ERI,Dpp)
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call ppLR(TDA_T,nOOs,nVVs,Bpp,Cpp,Dpp,Om1s,X1s,Y1s,Om2s,X2s,Y2s,EcRPA(isp_T))
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deallocate(Bpp,Cpp,Dpp)
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2023-07-18 15:07:39 +02:00
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call GTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nOOs,nVVs,ERI,X1s,Y1s,rho1s,X2s,Y2s,rho2s)
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call static_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOOs,nVVs,lambda,Om1s,rho1s,Om2s,rho2s,TAs)
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if(.not.TDA) call static_Tmatrix_B(eta,nBas,nC,nO,nV,nR,nS,nOOs,nVVs,lambda,Om1s,rho1s,Om2s,rho2s,TBs)
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isp_T = 2
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iblock = 4
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2023-07-20 12:37:54 +02:00
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allocate(Bpp(nVVt,nOOt),Cpp(nVVt,nVVt),Dpp(nOOt,nOOt))
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if(.not.TDA_T) call ppLR_B(iblock,nBas,nC,nO,nV,nR,nOOt,nVVt,lambda,ERI,Bpp)
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call ppLR_C(iblock,nBas,nC,nO,nV,nR,nVVt,lambda,eT,ERI,Cpp)
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call ppLR_D(iblock,nBas,nC,nO,nV,nR,nOOt,lambda,eT,ERI,Dpp)
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call ppLR(TDA_T,nOOt,nVVt,Bpp,Cpp,Dpp,Om1t,X1t,Y1t,Om2t,X2t,Y2t,EcRPA(isp_T))
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deallocate(Bpp,Cpp,Dpp)
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2023-07-18 15:07:39 +02:00
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call GTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nOOt,nVVt,ERI,X1t,Y1t,rho1t,X2t,Y2t,rho2t)
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call static_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOOt,nVVt,lambda,Om1t,rho1t,Om2t,rho2t,TAt)
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if(.not.TDA) call static_Tmatrix_B(eta,nBas,nC,nO,nV,nR,nS,nOOt,nVVt,lambda,Om1t,rho1t,Om2t,rho2t,TBt)
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2023-07-20 12:37:54 +02:00
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end if
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call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,eGT,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,Bph)
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Aph(:,:) = Aph(:,:) + TAt(:,:) - TAs(:,:)
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if(.not.TDA) Bph(:,:) = Bph(:,:) + TBt(:,:) - TBs(:,:)
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2023-07-18 15:07:39 +02:00
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2023-07-20 12:37:54 +02:00
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call phLR(TDA,nS,Aph,Bph,EcAc(ispin),Om,XpY,XmY)
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2023-07-18 15:07:39 +02:00
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2023-07-20 12:37:54 +02:00
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call phACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,ERI,XpY,XmY,Ec(iAC,ispin))
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2023-07-18 15:07:39 +02:00
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write(*,'(2X,F15.6,1X,F30.15,1X,F30.15)') lambda,EcAC(ispin),Ec(iAC,ispin)
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end do
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EcAC(ispin) = 0.5d0*dot_product(wAC,Ec(:,ispin))
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if(exchange_kernel) EcAC(ispin) = 1.5d0*EcAC(ispin)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,'(2X,A50,1X,F15.6)') ' Ec(AC) via Gauss-Legendre quadrature:',EcAC(ispin)
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write(*,*) '-----------------------------------------------------------------------------------'
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write(*,*)
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end if
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end subroutine
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