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quack/src/RPA/ACFDT_pp.f90

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4.4 KiB
Fortran
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2021-11-18 13:34:08 +01:00
subroutine ACFDT_pp(TDA,singlet,triplet,nBas,nC,nO,nV,nR,nS,ERI,e,EcAC)
! Compute the correlation energy via the adiabatic connection fluctuation dissipation theorem for pp sector
implicit none
include 'parameters.h'
include 'quadrature.h'
! Input variables
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(:,:)
integer :: nOOs,nOOt
integer :: nVVs,nVVt
double precision,allocatable :: Omega1s(:),Omega1t(:)
double precision,allocatable :: X1s(:,:),X1t(:,:)
double precision,allocatable :: Y1s(:,:),Y1t(:,:)
double precision,allocatable :: rho1s(:,:,:),rho1t(:,:,:)
double precision,allocatable :: Omega2s(:),Omega2t(:)
double precision,allocatable :: X2s(:,:),X2t(:,:)
double precision,allocatable :: Y2s(:,:),Y2t(:,:)
double precision,allocatable :: rho2s(:,:,:),rho2t(:,:,:)
! Output variables
double precision,intent(out) :: EcAC(nspin)
! Useful quantities
nOOs = nO*(nO+1)/2
nVVs = nV*(nV+1)/2
nOOt = nO*(nO-1)/2
nVVt = nV*(nV-1)/2
! Memory allocation
allocate(Omega1s(nVVs),X1s(nVVs,nVVs),Y1s(nOOs,nVVs), &
Omega2s(nOOs),X2s(nVVs,nOOs),Y2s(nOOs,nOOs), &
rho1s(nBas,nBas,nVVs),rho2s(nBas,nBas,nOOs), &
Omega1t(nVVt),X1t(nVVt,nVVt),Y1t(nOOt,nVVt), &
Omega2t(nOOt),X2t(nVVt,nOOt),Y2t(nOOt,nOOt), &
rho1t(nBas,nBas,nVVt),rho2t(nBas,nBas,nOOt))
allocate(Ec(nAC,nspin))
! Antisymmetrized kernel version
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 linear_response_pp(ispin,TDA,nBas,nC,nO,nV,nR,nOOs,nVVs,lambda,e,ERI,Omega1s,X1s,Y1s,Omega2s,X2s,Y2s,EcAC(ispin))
call ACFDT_pp_correlation_energy(ispin,nBas,nC,nO,nV,nR,nS,ERI,nOOs,nVVs,X1s,Y1s,X2s,Y2s,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))
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)
! Initialize T matrix
call linear_response_pp(ispin,TDA,nBas,nC,nO,nV,nR,nOOt,nVVt,lambda,e,ERI,Omega1t,X1t,Y1t,Omega2t,X2t,Y2t,EcAC(ispin))
call ACFDT_pp_correlation_energy(ispin,nBas,nC,nO,nV,nR,nS,ERI,nOOt,nVVt,X1t,Y1t,X2t,Y2t,Ec(iAC,ispin))
write(*,'(2X,F15.6,1X,F30.15,1X,F30.15)') lambda,EcAC(ispin),Ec(iAC,ispin)
end do
EcAC(ispin) = 1.5d0*dot_product(wAC,Ec(:,ispin))
write(*,*) '-----------------------------------------------------------------------------------'
write(*,'(2X,A50,1X,F15.6)') ' Ec(AC) via Gauss-Legendre quadrature:',EcAC(ispin)
write(*,*) '-----------------------------------------------------------------------------------'
write(*,*)
end if
end subroutine ACFDT_pp