2021-11-18 13:34:08 +01:00
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subroutine ACFDT_pp_correlation_energy(ispin,nBas,nC,nO,nV,nR,nS,ERI,nOO,nVV,X1,Y1,X2,Y2,EcAC)
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! Compute the correlation energy via the adiabatic connection formula for the pp sector
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implicit none
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include 'parameters.h'
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! Input variables
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integer,intent(in) :: ispin
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integer,intent(in) :: nBas,nC,nO,nV,nR,nS
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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integer,intent(in) :: nOO
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integer,intent(in) :: nVV
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double precision,intent(in) :: X1(nVV,nVV)
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double precision,intent(in) :: Y1(nOO,nVV)
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double precision,intent(in) :: X2(nVV,nOO)
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double precision,intent(in) :: Y2(nOO,nOO)
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! Local variables
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double precision,allocatable :: B(:,:)
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double precision,allocatable :: C(:,:)
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double precision,allocatable :: D(:,:)
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double precision,external :: trace_matrix
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! Output variables
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double precision,intent(out) :: EcAC
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! Memory allocation
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allocate(B(nVV,nOO),C(nVV,nVV),D(nOO,nOO))
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! Build pp matrices
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2023-07-12 22:37:04 +02:00
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call ppLR_B (ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,B)
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call ppLR_C_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,C)
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call ppLR_D_od(ispin,nBas,nC,nO,nV,nR,nOO,nVV,1d0,ERI,D)
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2021-11-18 13:34:08 +01:00
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! Compute Tr(K x P_lambda)
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EcAC = trace_matrix(nVV,matmul(transpose(X1),matmul(B,Y1)) + matmul(transpose(Y1),matmul(transpose(B),X1))) &
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+ trace_matrix(nVV,matmul(transpose(X1),matmul(C,X1)) + matmul(transpose(Y1),matmul(D,Y1))) &
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+ trace_matrix(nOO,matmul(transpose(X2),matmul(B,Y2)) + matmul(transpose(Y2),matmul(transpose(B),X2))) &
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+ trace_matrix(nOO,matmul(transpose(X2),matmul(C,X2)) + matmul(transpose(Y2),matmul(D,Y2))) &
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- trace_matrix(nVV,C) - trace_matrix(nOO,D)
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end subroutine ACFDT_pp_correlation_energy
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