quack/src/RPA/phUACFDT.f90

213 lines
6.9 KiB
Fortran

subroutine phUACFDT(exchange_kernel,doXBS,dRPA,TDA_W,TDA,BSE,spin_conserved,spin_flip, &
nBas,nC,nO,nV,nR,nS,ERI_aaaa,ERI_aabb,ERI_bbbb,eW,e,EcAC)
! Compute the correlation energy via the adiabatic connection fluctuation dissipation theorem
implicit none
include 'parameters.h'
include 'quadrature.h'
! Input variables
logical,intent(in) :: doXBS
logical,intent(in) :: dRPA
logical,intent(in) :: TDA_W
logical,intent(in) :: TDA
logical,intent(in) :: BSE
logical,intent(in) :: exchange_kernel
logical,intent(in) :: spin_conserved
logical,intent(in) :: spin_flip
integer,intent(in) :: nBas
integer,intent(in) :: nC(nspin)
integer,intent(in) :: nO(nspin)
integer,intent(in) :: nV(nspin)
integer,intent(in) :: nR(nspin)
integer,intent(in) :: nS(nspin)
double precision,intent(in) :: eW(nBas,nspin)
double precision,intent(in) :: e(nBas,nspin)
double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas)
! Local variables
integer :: ispin
integer :: isp_W
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(:,:)
double precision,allocatable :: rho(:,:,:,:)
integer :: nS_aa,nS_bb,nS_sc
double precision,allocatable :: Om_sc(:)
double precision,allocatable :: XpY_sc(:,:)
double precision,allocatable :: XmY_sc(:,:)
integer :: nS_ab,nS_ba,nS_sf
double precision,allocatable :: Om_sf(:)
double precision,allocatable :: XpY_sf(:,:)
double precision,allocatable :: XmY_sf(:,:)
! Output variables
double precision,intent(out) :: EcAC(nspin)
! Memory allocation
allocate(Ec(nAC,nspin))
! Antisymmetrized kernel version
if(exchange_kernel) then
write(*,*)
write(*,*) '*** Exchange kernel version ***'
write(*,*)
end if
EcAC(:) = 0d0
Ec(:,:) = 0d0
! Compute (singlet) RPA screening
isp_W = 1
EcRPA = 0d0
! Memory allocation
nS_aa = nS(1)
nS_bb = nS(2)
nS_sc = nS_aa + nS_bb
nS_ab = (nO(1) - nC(1))*(nV(2) - nR(2))
nS_ba = (nO(2) - nC(2))*(nV(1) - nR(1))
nS_sf = nS_ab + nS_ba
allocate(Aph(nS_sc,nS_sc),Bph(nS_sc,nS_sc),Om(nS_sc),XpY(nS_sc,nS_sc),XmY(nS_sc,nS_sc),rho(nBas,nBas,nS_sc,nspin))
call phULR_A(ispin,.true.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,eW,ERI_aaaa,ERI_aabb,ERI_bbbb,Aph)
if(.not.TDA) call phULR_B(ispin,.true.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,Bph)
call phULR(TDA,nS_aa,nS_bb,nS_sc,Aph,Bph,EcRPA,Om,XpY,XmY)
call UGW_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY,rho)
deallocate(Aph,Bph)
! Spin-conserved manifold
if(spin_conserved) then
ispin = 1
allocate(Aph(nS_sc,nS_sc),Bph(nS_sc,nS_sc),Om_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc))
write(*,*) '------------------------'
write(*,*) 'Spin-conserved manifold '
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)
if(doXBS) then
! call phULR(isp_W,.true.,TDA_W,.false.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,eW, &
! ERI_aaaa,ERI_aabb,ERI_bbbb,Om,rho,EcRPA,Om,XpY,XmY)
call UGW_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY,rho)
end if
! call phULR(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,e, &
! ERI_aaaa,ERI_aabb,ERI_bbbb,Om,rho,EcAC(ispin),Om_sc,XpY_sc,XmY_sc)
call phUACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,nS_aa,nS_bb,nS_sc, &
ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_sc,XmY_sc,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(*,*)
deallocate(Aph,Bph,Om_sc,XpY_sc,XmY_sc)
end if
! spin-flip manifold
if(spin_flip) then
ispin = 2
! Memory allocation
allocate(Aph(nS_sf,nS_sf),Bph(nS_sf,nS_sf),Om_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf))
write(*,*) '--------------------'
write(*,*) ' Spin-flip manifold '
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)
if(doXBS) then
! call phULR(isp_W,.true.,TDA_W,.false.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,lambda,eW, &
! ERI_aaaa,ERI_aabb,ERI_bbbb,Om,rho,EcRPA,Om,XpY,XmY)
call UGW_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY,rho)
end if
! call phULR(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS_ab,nS_ba,nS_sf,nS_sc,lambda,e, &
! ERI_aaaa,ERI_aabb,ERI_bbbb,Om,rho,EcAC(ispin),Om_sf,XpY_sf,XmY_sf)
call phUACFDT_correlation_energy(ispin,exchange_kernel,nBas,nC,nO,nV,nR,nS,nS_ab,nS_ba,nS_sf, &
ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_sf,XmY_sf,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(*,*)
deallocate(Aph,Bph,Om_sf,XpY_sf,XmY_sf)
end if
end subroutine