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quack/src/GT/UG0T0.f90

302 lines
11 KiB
Fortran
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2022-02-07 10:46:43 +01:00
subroutine UG0T0(doACFDT,exchange_kernel,doXBS,BSE,TDA_T,TDA,dBSE,dTDA,evDyn, &
spin_conserved,spin_flip,linearize,eta,regularize,nBas,nC,nO,nV, &
nR,nS,ENuc,EUHF,ERI,ERI_aaaa,ERI_aabb,ERI_bbbb, &
dipole_int_aa,dipole_int_bb,PHF,cHF,eHF,Vxc,eG0T0)
! Perform one-shot calculation with a T-matrix self-energy (G0T0)
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: doACFDT
logical,intent(in) :: exchange_kernel
logical,intent(in) :: doXBS
logical,intent(in) :: BSE
logical,intent(in) :: TDA_T
logical,intent(in) :: TDA
logical,intent(in) :: dBSE
logical,intent(in) :: dTDA
logical,intent(in) :: evDyn
logical,intent(in) :: spin_conserved
logical,intent(in) :: spin_flip
logical,intent(in) :: linearize
double precision,intent(in) :: eta
logical,intent(in) :: regularize
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) :: ENuc
double precision,intent(in) :: EUHF
double precision,intent(in) :: Vxc(nBas,nspin)
double precision,intent(in) :: eHF(nBas,nspin)
double precision,intent(in) :: cHF(nBas,nBas,nspin)
double precision,intent(in) :: PHF(nBas,nBas,nspin)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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)
double precision,intent(in) :: dipole_int_aa(nBas,nBas,ncart)
double precision,intent(in) :: dipole_int_bb(nBas,nBas,ncart)
! Local variables
integer :: ispin,is
integer :: iblock
integer :: nH_sc,nH_sf,nHaa,nHab,nHbb
integer :: nP_sc,nP_sf,nPaa,nPab,nPbb
double precision :: EcRPA(nspin),Ecaa,Ecbb
double precision :: EcBSE(nspin)
double precision :: EcAC(nspin)
double precision :: EcGM
double precision,allocatable :: Omega1ab(:),Omega1aa(:),Omega1bb(:)
double precision,allocatable :: X1ab(:,:),X1aa(:,:),X1bb(:,:)
double precision,allocatable :: Y1ab(:,:),Y1aa(:,:),Y1bb(:,:)
double precision,allocatable :: rho1ab(:,:,:),rho1aa(:,:,:),rho1bb(:,:,:)
double precision,allocatable :: Omega2ab(:),Omega2aa(:),Omega2bb(:)
double precision,allocatable :: X2ab(:,:),X2aa(:,:),X2bb(:,:)
double precision,allocatable :: Y2ab(:,:),Y2aa(:,:),Y2bb(:,:)
double precision,allocatable :: rho2ab(:,:,:),rho2aa(:,:,:),rho2bb(:,:,:)
double precision,allocatable :: SigX(:,:)
double precision,allocatable :: SigT(:,:)
double precision,allocatable :: Z(:,:)
! Output variables
double precision,intent(out) :: eG0T0(nBas,nspin)
! Hello world
write(*,*)
write(*,*)'************************************************'
write(*,*)'| One-shot G0T0 calculation |'
write(*,*)'| *** Unrestricted version *** |'
write(*,*)'************************************************'
write(*,*)
! Dimensions of the pp-URPA linear reponse matrices
nPaa = nV(1)*(nV(1)-1)/2
nPbb = nV(2)*(nV(2)-1)/2
nHaa = nO(1)*(nO(1)-1)/2;
nHbb = nO(2)*(nO(2)-1)/2;
nPab = nV(1)*nV(2)
nHab = nO(1)*nO(2)
nP_sc = nPab
nH_sc = nHab
nP_sf = nPaa + nPbb
nH_sf = nHaa + nHbb
! Memory allocation
allocate(Omega1ab(nPab),X1ab(nPab,nPab),Y1ab(nHab,nPab), &
Omega2ab(nHab),X2ab(nPab,nHab),Y2ab(nHab,nHab), &
rho1ab(nBas,nBas,nPab),rho2ab(nBas,nBas,nHab), &
Omega1aa(nPaa),X1aa(nPaa,nPaa),Y1aa(nHaa,nPaa), &
Omega2aa(nHaa),X2aa(nPaa,nHaa),Y2aa(nHaa,nHaa), &
rho1aa(nBas,nBas,nPaa),rho2aa(nBas,nBas,nHaa), &
Omega1bb(nPbb),X1bb(nPbb,nPbb),Y1bb(nHbb,nPbb), &
rho1bb(nBas,nBas,nPbb),rho2bb(nBas,nBas,nHbb), &
SigX(nBas,nspin),SigT(nBas,nspin),Z(nBas,nspin))
!----------------------------------------------
! alpha-beta block
!----------------------------------------------
ispin = 1
iblock = 1
! iblock = 1
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sc,nHaa,nHab,nHbb,nH_sc,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1ab,X1ab,Y1ab, &
Omega2ab,X2ab,Y2ab,EcRPA(ispin))
! EcRPA(ispin) = 1d0*EcRPA(ispin)
call print_excitation('pp-RPA (N+2)',iblock,nPab,Omega1ab(:))
call print_excitation('pp-RPA (N-2)',iblock,nHab,Omega2ab(:))
!----------------------------------------------
! alpha-alpha block
!----------------------------------------------
ispin = 2
iblock = 2
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sf,nHaa,nHab,nHbb,nH_sc,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1aa,X1aa,Y1aa, &
Omega2aa,X2aa,Y2aa,EcRPA(ispin))
! EcRPA(ispin) = 2d0*EcRPA(ispin)
! EcRPA(ispin) = 3d0*EcRPA(ispin)
call print_excitation('pp-RPA (N+2)',iblock,nPaa,Omega1aa(:))
call print_excitation('pp-RPA (N-2)',iblock,nHaa,Omega2aa(:))
!----------------------------------------------
! beta-beta block
!----------------------------------------------
ispin = 2
iblock = 3
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sc,nHaa,nHab,nHbb,nH_sf,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1bb,X1bb,Y1bb, &
Omega2bb,X2bb,Y2bb,EcRPA(ispin))
! EcRPA(ispin) = 2d0*EcRPA(ispin)
! EcRPA(ispin) = 3d0*EcRPA(ispin)
call print_excitation('pp-RPA (N+2)',iblock,nPbb,Omega1bb(:))
call print_excitation('pp-RPA (N-2)',iblock,nHbb,Omega2bb(:))
!----------------------------------------------
! Compute T-matrix version of the self-energy
!----------------------------------------------
EcGM = 0d0
SigT(:,:) = 0d0
Z(:,:) = 0d0
!alpha-beta block
ispin = 1
iblock = 1
call unrestricted_excitation_density_Tmatrix(iblock,nBas,nC,nO,nV,nR,nHab,nPab, &
ERI_aaaa,ERI_aabb,ERI_bbbb,X1ab,Y1ab, &
rho1ab,X2ab,Y2ab,rho2ab)
call unrestricted_self_energy_Tmatrix_diag(ispin,eta,nBas,nC,nO,nV,nR,nHab,nPab,eHF, &
Omega1ab,rho1ab,Omega2ab,rho2ab,EcGM,SigT)
call unrestricted_renormalization_factor_Tmatrix(eta,nBas,nC,nO,nV,nR,nHab,nPab,eHF, &
Omega1ab,rho1ab,Omega2ab,rho2ab,Z)
!alpha-alpha block
ispin = 2
iblock = 2
call unrestricted_excitation_density_Tmatrix(iblock,nBas,nC,nO,nV,nR,nHaa,nPaa, &
ERI_aaaa,ERI_aabb,ERI_bbbb,X1aa,Y1aa, &
rho1aa,X2aa,Y2aa,rho2aa)
call unrestricted_self_energy_Tmatrix_diag(ispin,eta,nBas,nC,nO,nV,nR,nHaa,nPaa,eHF, &
Omega1aa,rho1aa,Omega2aa,rho2aa,EcGM,SigT)
call unrestricted_renormalization_factor_Tmatrix(eta,nBas,nC,nO,nV,nR,nHaa,nPaa,eHF, &
Omega1aa,rho1aa,Omega2aa,rho2aa,Z)
!beta-beta block
ispin = 2
iblock = 3
call unrestricted_excitation_density_Tmatrix(iblock,nBas,nC,nO,nV,nR,nHbb,nPbb, &
ERI_aaaa,ERI_aabb,ERI_bbbb,X1bb,Y1bb, &
rho1bb,X2bb,Y2bb,rho2bb)
call unrestricted_self_energy_Tmatrix_diag(ispin,eta,nBas,nC,nO,nV,nR,nHbb,nPbb,eHF, &
Omega1bb,rho1bb,Omega2bb,rho2bb,EcGM,SigT)
call unrestricted_renormalization_factor_Tmatrix(eta,nBas,nC,nO,nV,nR,nHbb,nPbb,eHF, &
Omega1bb,rho1bb,Omega2bb,rho2bb,Z)
Z(:,:) = 1d0/(1d0 - Z(:,:))
!----------------------------------------------
! Compute the exchange part of the self-energy
!----------------------------------------------
do is=1,nspin
call self_energy_exchange_diag(nBas,cHF(:,:,is),PHF(:,:,is),ERI,SigX(:,is))
end do
!----------------------------------------------
! Solve the quasi-particle equation
!----------------------------------------------
if(linearize) then
! eG0T0(:) = eHF(:) + Z(:)*SigT(:)
eG0T0(:,:) = eHF(:,:) + Z(:,:)*(SigX(:,:) + SigT(:,:) - Vxc(:,:))
! call matout(nBas,1,SigX)
! call matout(nBas,1,Vxc)
else
eG0T0(:,:) = eHF(:,:) + SigX(:,:) + SigT(:,:) - Vxc(:,:)
end if
!----------------------------------------------
! Dump results
!----------------------------------------------
! Compute the ppRPA correlation energy
!alpha-beta block
ispin = 1
iblock = 1
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sc,nHaa,nHab,nHbb,nH_sc,1d0,eG0T0,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1ab,X1ab,Y1ab, &
Omega2ab,X2ab,Y2ab,EcRPA(ispin))
!alpha-alpha block
ispin = 2
iblock = 2
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sc,nHaa,nHab,nHbb,nH_sc,1d0,eG0T0,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1aa,X1aa,Y1aa, &
Omega2aa,X2aa,Y2aa,EcRPA(ispin))
Ecaa = EcRPA(2)
!beta-beta block
iblock = 3
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nP_sc,nHaa,nHab,nHbb,nH_sc,1d0,eG0T0,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1bb,X1bb,Y1bb, &
Omega2bb,X2bb,Y2bb,EcRPA(ispin))
Ecbb = EcRPA(2)
EcRPA(2) = Ecaa + Ecbb
EcRPA(1) = EcRPA(1) - EcRPA(2)
EcRPA(2) = 3d0*EcRPA(2)
! call print_G0T0(nBas,nO,eHF,ENuc,ERHF,SigT,Z,eG0T0,EcGM,EcRPA)
! Free memory
deallocate(Omega1ab,X1ab,Y1ab,Omega2ab,X2ab,Y2ab,rho1ab,rho2ab, &
Omega1aa,X1aa,Y1aa,Omega2aa,X2aa,Y2aa,rho1aa,rho2aa, &
Omega1bb,X1bb,Y1bb,Omega2bb,X2bb,Y2bb,rho1bb,rho2bb)
end subroutine UG0T0