quack/src/GT/UG0T0pp.f90

253 lines
8.2 KiB
Fortran

subroutine UG0T0pp(dotest,doACFDT,exchange_kernel,doXBS,BSE,TDA_T,TDA,dBSE,dTDA, &
spin_conserved,spin_flip,linearize,eta,regularize,nBas,nC,nO,nV, &
nR,nS,ENuc,EUHF,ERI_aaaa,ERI_aabb,ERI_bbbb, &
dipole_int_aa,dipole_int_bb,cHF,eHF)
! Perform one-shot calculation with a T-matrix self-energy (G0T0)
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: dotest
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) :: 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) :: eHF(nBas,nspin)
double precision,intent(in) :: cHF(nBas,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)
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 :: Om1ab(:),Om1aa(:),Om1bb(:)
double precision,allocatable :: X1ab(:,:),X1aa(:,:),X1bb(:,:)
double precision,allocatable :: Y1ab(:,:),Y1aa(:,:),Y1bb(:,:)
double precision,allocatable :: rho1ab(:,:,:),rho1aa(:,:,:),rho1bb(:,:,:)
double precision,allocatable :: Om2ab(:),Om2aa(:),Om2bb(:)
double precision,allocatable :: X2ab(:,:),X2aa(:,:),X2bb(:,:)
double precision,allocatable :: Y2ab(:,:),Y2aa(:,:),Y2bb(:,:)
double precision,allocatable :: rho2ab(:,:,:),rho2aa(:,:,:),rho2bb(:,:,:)
double precision,allocatable :: SigT(:,:)
double precision,allocatable :: Z(:,:)
double precision,allocatable :: eGT(:,:)
! Output variables
! Hello world
write(*,*)
write(*,*)'***********************************'
write(*,*)'* Unrestricted G0T0pp Calculation *'
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(Om1ab(nPab),X1ab(nPab,nPab),Y1ab(nHab,nPab), &
Om2ab(nHab),X2ab(nPab,nHab),Y2ab(nHab,nHab), &
rho1ab(nBas,nBas,nPab),rho2ab(nBas,nBas,nHab), &
Om1aa(nPaa),X1aa(nPaa,nPaa),Y1aa(nHaa,nPaa), &
Om2aa(nHaa),X2aa(nPaa,nHaa),Y2aa(nHaa,nHaa), &
rho1aa(nBas,nBas,nPaa),rho2aa(nBas,nBas,nHaa), &
Om1bb(nPbb),X1bb(nPbb,nPbb),Y1bb(nHbb,nPbb), &
Om2bb(nPbb),X2bb(nPbb,nPbb),Y2bb(nHbb,nPbb), &
rho1bb(nBas,nBas,nPbb),rho2bb(nBas,nBas,nHbb), &
SigT(nBas,nspin),Z(nBas,nspin),eGT(nBas,nspin))
!----------------------------------------------
! alpha-beta block
!----------------------------------------------
ispin = 1
iblock = 3
! Compute linear response
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPab,nHaa,nHab,nHbb,nHab,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1ab,X1ab,Y1ab,Om2ab,X2ab,Y2ab,EcRPA(ispin))
call print_excitation_energies('ppRPA@UHF','2p (alpha-beta)',nPab,Om1ab(:))
call print_excitation_energies('ppRPA@UHF','2h (alpha-beta)',nHab,Om2ab(:))
!----------------------------------------------
! alpha-alpha block
!----------------------------------------------
ispin = 2
iblock = 4
! Compute linear response
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPaa,nHaa,nHab,nHbb,nHaa,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1aa,X1aa,Y1aa,Om2aa,X2aa,Y2aa,EcRPA(ispin))
call print_excitation_energies('ppRPA@UHF','2p (alpha-alpha)',nPaa,Om1aa(:))
call print_excitation_energies('ppRPA@UHF','2h (alpha-alpha)',nHaa,Om2aa(:))
!----------------------------------------------
! beta-beta block
!----------------------------------------------
ispin = 2
iblock = 7
! Compute linear response
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPbb,nHaa,nHab,nHbb,nHbb,1d0,eHF,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1bb,X1bb,Y1bb,Om2bb,X2bb,Y2bb,EcRPA(ispin))
call print_excitation_energies('ppRPA@UHF','2p (beta-beta)',nPbb,Om1bb(:))
call print_excitation_energies('ppRPA@UHF','2h (beta-beta)',nHbb,Om2bb(:))
!----------------------------------------------
! Compute T-matrix version of the self-energy
!----------------------------------------------
!alpha-beta block
iblock = 3
call UGTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nHab,nPab,ERI_aaaa,ERI_aabb,ERI_bbbb,X1ab,Y1ab, &
rho1ab,X2ab,Y2ab,rho2ab)
!alpha-alpha block
iblock = 4
call UGTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nHaa,nPaa,ERI_aaaa,ERI_aabb,ERI_bbbb,X1aa,Y1aa, &
rho1aa,X2aa,Y2aa,rho2aa)
!beta-beta block
iblock = 7
call UGTpp_excitation_density(iblock,nBas,nC,nO,nV,nR,nHbb,nPbb,ERI_aaaa,ERI_aabb,ERI_bbbb,X1bb,Y1bb, &
rho1bb,X2bb,Y2bb,rho2bb)
call UGTpp_self_energy_diag(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,nPaa,nPab,nPbb,eHF,Om1aa,Om1ab,Om1bb,&
rho1aa,rho1ab,rho1bb,Om2aa,Om2ab,Om2bb,rho2aa,rho2ab,rho2bb,EcGM,SigT,Z)
Z(:,:) = 1d0/(1d0 - Z(:,:))
!----------------------------------------------
! Solve the quasi-particle equation
!----------------------------------------------
if(linearize) then
eGT(:,:) = eHF(:,:) + Z(:,:)*SigT(:,:)
else
write(*,*) 'Root search not yet implemented for UG0T0pp! Sorry.'
stop
end if
!----------------------------------------------
! Dump results
!----------------------------------------------
! Compute the ppRPA correlation energy
!alpha-beta block
ispin = 1
iblock = 3
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPab,nHaa,nHab,nHbb,nHab,1d0,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1ab,X1ab,Y1ab,Om2ab,X2ab,Y2ab,EcRPA(ispin))
!alpha-alpha block
ispin = 2
iblock = 4
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPaa,nHaa,nHab,nHbb,nHaa,1d0,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1aa,X1aa,Y1aa,Om2aa,X2aa,Y2aa,EcRPA(ispin))
Ecaa = EcRPA(2)
!beta-beta block
iblock = 7
call ppULR(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb,nPbb,nHaa,nHab,nHbb,nHbb,1d0,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Om1bb,X1bb,Y1bb,Om2bb,X2bb,Y2bb,EcRPA(ispin))
Ecbb = EcRPA(2)
EcRPA(2) = Ecaa + Ecbb
EcRPA(1) = EcRPA(1) - EcRPA(2)
EcRPA(2) = 3d0*EcRPA(2)
call print_UG0T0(nBas,nO,eHF,ENuc,EUHF,SigT,Z,eGT,EcGM,EcRPA)
! Free memory
deallocate(Om1ab,X1ab,Y1ab,Om2ab,X2ab,Y2ab,rho1ab,rho2ab, &
Om1aa,X1aa,Y1aa,Om2aa,X2aa,Y2aa,rho1aa,rho2aa, &
Om1bb,X1bb,Y1bb,Om2bb,X2bb,Y2bb,rho1bb,rho2bb)
! Testing zone
if(dotest) then
call dump_test_value('U','G0T0pp correlation energy',sum(EcRPA))
call dump_test_value('U','G0T0pp HOMOa energy',eGT(nO(1),1))
call dump_test_value('U','G0T0pp LUMOa energy',eGT(nO(1)+1,1))
call dump_test_value('U','G0T0pp HOMOa energy',eGT(nO(2),2))
call dump_test_value('U','G0T0pp LUMOa energy',eGT(nO(2)+1,2))
end if
end subroutine