subroutine crACFDT(exchange_kernel,dRPA,TDA,singlet,triplet,nBas,nC,nO,nV,nR,nS,ERI,e,EcAC) ! Compute the correlation energy via the adiabatic connection fluctuation dissipation theorem ! for the crossed-ring contribution implicit none include 'parameters.h' include 'quadrature.h' ! Input variables logical,intent(in) :: exchange_kernel logical,intent(in) :: dRPA logical,intent(in) :: TDA logical,intent(in) :: singlet logical,intent(in) :: triplet 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) :: e(nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) ! Local variables integer :: ispin integer :: iAC double precision :: lambda double precision,allocatable :: Ec(:,:) double precision :: EcRPA double precision,allocatable :: Aph(:,:) double precision,allocatable :: Bph(:,:) double precision,allocatable :: Om(:) double precision,allocatable :: XpY(:,:) double precision,allocatable :: XmY(:,:) ! Output variables double precision,intent(out) :: EcAC(nspin) ! Memory allocation allocate(Ec(nAC,nspin)) allocate(Aph(nS,nS),Bph(nS,nS),Om(nS),XpY(nS,nS),XmY(nS,nS)) ! Antisymmetrized kernel version if(exchange_kernel) then write(*,*) write(*,*) '*** Exchange kernel version ***' write(*,*) end if EcAC(:) = 0d0 Ec(:,:) = 0d0 ! Singlet manifold if(singlet) then ispin = 1 write(*,*) '--------------' write(*,*) 'Singlet states' write(*,*) '--------------' write(*,*) write(*,*) '-----------------------------------------------------------------------------------' write(*,'(2X,A15,1X,A30,1X,A30)') 'lambda','Ec(lambda)','Tr(K x P_lambda)' write(*,*) '-----------------------------------------------------------------------------------' do iAC=1,nAC lambda = -rAC(iAC) call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,Aph) if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,Bph) call phLR(TDA,nS,Aph,Bph,EcAc(ispin),Om,XpY,XmY) call phACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,ERI,XpY,XmY,Ec(iAC,ispin)) write(*,'(2X,F15.6,1X,F30.15,1X,F30.15)') lambda,EcAC(ispin),Ec(iAC,ispin) end do EcAC(ispin) = -0.5d0*dot_product(wAC,Ec(:,ispin)) if(exchange_kernel) EcAC(ispin) = 0.5d0*EcAC(ispin) write(*,*) '-----------------------------------------------------------------------------------' write(*,'(2X,A50,1X,F15.6)') ' Ec(AC) via Gauss-Legendre quadrature:',EcAC(ispin) write(*,*) '-----------------------------------------------------------------------------------' write(*,*) end if ! Triplet manifold if(triplet) then ispin = 2 write(*,*) '--------------' write(*,*) 'Triplet states' write(*,*) '--------------' write(*,*) write(*,*) '-----------------------------------------------------------------------------------' write(*,'(2X,A15,1X,A30,1X,A30)') 'lambda','Ec(lambda)','Tr(K x P_lambda)' write(*,*) '-----------------------------------------------------------------------------------' do iAC=1,nAC lambda = -rAC(iAC) call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,e,ERI,Aph) if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,lambda,ERI,Bph) call phLR(TDA,nS,Aph,Bph,EcAc(ispin),Om,XpY,XmY) call phACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,ERI,XpY,XmY,Ec(iAC,ispin)) write(*,'(2X,F15.6,1X,F30.15,1X,F30.15)') lambda,EcAC(ispin),Ec(iAC,ispin) end do EcAC(ispin) = -0.5d0*dot_product(wAC,Ec(:,ispin)) if(exchange_kernel) EcAC(ispin) = 1.5d0*EcAC(ispin) write(*,*) '-----------------------------------------------------------------------------------' write(*,'(2X,A50,1X,F15.6)') ' Ec(AC) via Gauss-Legendre quadrature:',EcAC(ispin) write(*,*) '-----------------------------------------------------------------------------------' write(*,*) end if end subroutine