mirror of https://github.com/pfloos/quack
207 lines
7.1 KiB
Fortran
207 lines
7.1 KiB
Fortran
subroutine unrestricted_ACFDT(exchange_kernel,doXBS,dRPA,TDA_W,TDA,BSE,spin_conserved,spin_flip,eta, &
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nBas,nC,nO,nV,nR,nS,ERI_aaaa,ERI_aabb,ERI_bbbb,eW,e,EcAC)
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! Compute the correlation energy via the adiabatic connection fluctuation dissipation theorem
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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) :: dRPA
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logical,intent(in) :: TDA_W
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logical,intent(in) :: TDA
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logical,intent(in) :: BSE
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logical,intent(in) :: exchange_kernel
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logical,intent(in) :: spin_conserved
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logical,intent(in) :: spin_flip
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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(nspin)
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integer,intent(in) :: nO(nspin)
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integer,intent(in) :: nV(nspin)
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integer,intent(in) :: nR(nspin)
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integer,intent(in) :: nS(nspin)
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double precision,intent(in) :: eW(nBas,nspin)
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double precision,intent(in) :: e(nBas,nspin)
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double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas)
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! Local variables
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integer :: ispin
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integer :: isp_W
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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
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double precision,allocatable :: OmRPA(:)
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double precision,allocatable :: XpY_RPA(:,:)
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double precision,allocatable :: XmY_RPA(:,:)
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double precision,allocatable :: rho_RPA(:,:,:,:)
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integer :: nS_aa,nS_bb,nS_sc
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double precision,allocatable :: Omega_sc(:)
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double precision,allocatable :: XpY_sc(:,:)
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double precision,allocatable :: XmY_sc(:,:)
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integer :: nS_ab,nS_ba,nS_sf
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double precision,allocatable :: Omega_sf(:)
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double precision,allocatable :: XpY_sf(:,:)
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double precision,allocatable :: XmY_sf(:,:)
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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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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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! Compute (singlet) RPA screening
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isp_W = 1
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EcRPA = 0d0
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! Memory allocation
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nS_aa = nS(1)
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nS_bb = nS(2)
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nS_sc = nS_aa + nS_bb
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nS_ab = (nO(1) - nC(1))*(nV(2) - nR(2))
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nS_ba = (nO(2) - nC(2))*(nV(1) - nR(1))
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nS_sf = nS_ab + nS_ba
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allocate(OmRPA(nS_sc),XpY_RPA(nS_sc,nS_sc),XmY_RPA(nS_sc,nS_sc),rho_RPA(nBas,nBas,nS_sc,nspin))
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call unrestricted_linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0,eW, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcRPA,OmRPA,XpY_RPA,XmY_RPA)
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call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_RPA,rho_RPA)
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! Spin-conserved manifold
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if(spin_conserved) then
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ispin = 1
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allocate(Omega_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc))
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write(*,*) '------------------------'
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write(*,*) 'Spin-conserved manifold '
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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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call unrestricted_linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,eW, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcRPA,OmRPA,XpY_RPA,XmY_RPA)
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call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_RPA,rho_RPA)
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end if
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call unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,e, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcAC(ispin),Omega_sc,XpY_sc,XmY_sc)
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call unrestricted_ACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,nS_aa,nS_bb,nS_sc, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_sc,XmY_sc,Ec(iAC,ispin))
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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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deallocate(Omega_sc,XpY_sc,XmY_sc)
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end if
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! spin-flip manifold
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if(spin_flip) then
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ispin = 2
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! Memory allocation
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allocate(Omega_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf))
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write(*,*) '--------------------'
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write(*,*) ' Spin-flip manifold '
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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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call unrestricted_linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,eW, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcRPA,OmRPA,XpY_RPA,XmY_RPA)
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call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_RPA,rho_RPA)
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end if
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call unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nS_ab,nS_ba,nS_sf,nS_sc,lambda,e, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcAC(ispin),Omega_sf,XpY_sf,XmY_sf)
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call unrestricted_ACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,nS_ab,nS_ba,nS_sf, &
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ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_sf,XmY_sf,Ec(iAC,ispin))
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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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deallocate(Omega_sf,XpY_sf,XmY_sf)
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end if
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end subroutine unrestricted_ACFDT
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