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mirror of https://github.com/pfloos/quack synced 2024-12-22 12:23:42 +01:00
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EnzoMonino 2022-02-16 13:29:22 +01:00
parent 0b4abc2d91
commit 907bb2aa78
3 changed files with 417 additions and 1 deletions

342
src/GT/evUGT.f90 Normal file
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@ -0,0 +1,342 @@
subroutine evUGT(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,BSE, &
TDA_T,TDA,dBSE,dTDA,evDyn,spin_conserved,spin_flip,&
eta,regularize,nBas,nC,nO,nV,nR,nS,ENuc,EUHF,ERI_AO,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
integer,intent(in) :: maxSCF
integer,intent(in) :: max_diis
double precision,intent(in) :: thresh
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
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_AO(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)
double precision,intent(in) :: eG0T0(nBas,nspin)
! Local variables
integer :: nSCF
integer :: n_diis
double precision :: rcond(nspin)
double precision :: Conv
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(:,:)
double precision,allocatable :: eGT(:,:)
double precision,allocatable :: eOld(:,:)
double precision,allocatable :: error_diis(:,:,:)
double precision,allocatable :: e_diis(:,:,:)
! 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), &
Omega2bb(nPbb),X2bb(nPbb,nPbb),Y2bb(nHbb,nPbb), &
rho1bb(nBas,nBas,nPbb),rho2bb(nBas,nBas,nHbb), &
SigX(nBas,nspin),SigT(nBas,nspin),Z(nBas,nspin), &
eGT(nBas,nspin),eOld(nBas,nspin),error_diis(nBas,max_diis,nspin), &
e_diis(nBas,max_diis,nspin))
!----------------------------------------------
! Compute the exchange part of the self-energy
!----------------------------------------------
do is=1,nspin
call self_energy_exchange_diag(nBas,cHF(:,:,is),PHF(:,:,is),ERI_AO, &
SigX(:,is))
end do
!Initialization
nSCF = 0
n_diis = 0
Conv = 1d0
e_diis(:,:,:) = 0d0
error_diis(:,:,:) = 0d0
eGT(:,:) = eG0T0(:,:)
eOld(:,:) = eGT(:,:)
Z(:,:) = 1d0
rcond(:) = 0d0
!------------------------------------------------------------------------
! Main loop
!------------------------------------------------------------------------
do while(Conv > thresh .and. nSCF <= maxSCF)
!----------------------------------------------
! alpha-beta block
!----------------------------------------------
ispin = 1
iblock = 3
! iblock = 1
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPab,nHaa,nHab,nHbb,nHab,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 = 4
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPaa,nHaa,nHab,nHbb,nHaa,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 = 7
! Compute linear response
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPbb,nHaa,nHab,nHbb,nHbb,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
iblock = 3
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)
!alpha-alpha block
iblock = 4
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)
!beta-beta block
iblock = 7
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(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,nPaa,&
nPab,nPbb,eHF,Omega1aa,Omega1ab,Omega1bb,&
rho1aa,rho1ab,rho1bb,Omega2aa,Omega2ab,&
Omega2bb,rho2aa,rho2ab,rho2bb,EcGM,SigT)
call unrestricted_renormalization_factor_Tmatrix(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,&
nPaa,nPab,nPbb,eHF,Omega1aa,Omega1ab,&
Omega1bb,rho1aa,rho1ab,rho1bb, &
Omega2aa,Omega2ab,Omega2bb,rho2aa, &
rho2ab,rho2bb,Z)
Z(:,:) = 1d0/(1d0 - Z(:,:))
!----------------------------------------------
! Solve the quasi-particle equation
!----------------------------------------------
eGT(:,:) = eHF(:,:) + SigX(:,:) + SigT(:,:) - Vxc(:,:)
! Convergence criteria
Conv = maxval(abs(eGT(:,:) - eOld(:,:)))
!----------------------------------------------
! Dump results
!----------------------------------------------
! Compute the ppRPA correlation energy
!alpha-beta block
ispin = 1
iblock = 3
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPab,nHaa,nHab,nHbb,nHab,1d0,eG0T0,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1ab,X1ab,Y1ab, &
Omega2ab,X2ab,Y2ab,EcRPA(ispin))
!alpha-alpha block
ispin = 2
iblock = 4
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPaa,nHaa,nHab,nHbb,nHaa,1d0,eG0T0,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1aa,X1aa,Y1aa, &
Omega2aa,X2aa,Y2aa,EcRPA(ispin))
Ecaa = EcRPA(2)
!beta-beta block
iblock = 7
call unrestricted_linear_response_pp(iblock,TDA,nBas,nC,nO,nV,nR,nPaa,nPab,nPbb, &
nPbb,nHaa,nHab,nHbb,nHbb,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_evUGT(nBas,nO,eHF,ENuc,EUHF,SigT,Z,eGT,EcGM,EcRPA)
! DIIS extrapolation
n_diis = min(n_diis+1,max_diis)
do is=1,nspin
call DIIS_extrapolation(rcond(ispin),nBas,nBas,n_diis, &
error_diis(:,1:n_diis,is), &
e_diis(:,1:n_diis,is),eGT(:,is)-eOld(:,is), &
eGT(:,is))
end do
! Reset DIIS if required
if(minval(rcond(:)) < 1d-15) n_diis = 0
! Save quasiparticles energy for next cycle
eOld(:,:) = eGT(:,:)
! Increment
nSCF = nSCF + 1
enddo
!------------------------------------------------------------------------
! End main loop
!------------------------------------------------------------------------
! 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 evUGT

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subroutine print_evUGT(nBas,nO,eHF,ENuc,EUHF,SigT,Z,eGT,EcGM,EcRPA)
! Print one-electron energies and other stuff for UG0T0
implicit none
include 'parameters.h'
integer,intent(in) :: nBas
integer,intent(in) :: nO(nspin)
double precision,intent(in) :: ENuc
double precision,intent(in) :: EUHF
double precision,intent(in) :: EcGM
double precision,intent(in) :: EcRPA(nspin)
double precision,intent(in) :: eHF(nBas,nspin)
double precision,intent(in) :: SigT(nBas,nspin)
double precision,intent(in) :: Z(nBas,nspin)
double precision,intent(in) :: eGT(nBas,nspin)
integer :: p
integer :: ispin
double precision :: HOMO(nspin)
double precision :: LUMO(nspin)
double precision :: Gap(nspin)
! HOMO and LUMO
do ispin=1,nspin
if(nO(ispin) > 0) then
HOMO(ispin) = eGT(nO(ispin),ispin)
LUMO(ispin) = eGT(nO(ispin)+1,ispin)
Gap(ispin) = LUMO(ispin) - HOMO(ispin)
else
HOMO(ispin) = 0d0
LUMO(ispin) = eGT(1,ispin)
Gap(ispin) = 0d0
end if
end do
! Dump results
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' Unrestricted one-shot G0T0 calculation (T-matrix self-energy) '
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') &
'|','#','|','e_HF (eV)','|','Sigma_T (eV)','|','Z','|','e_QP (eV)','|'
write(*,*)'-------------------------------------------------------------------------------'
do p=1,nBas
write(*,'(A1,I3,A1,2F15.6,A1,2F15.6,A1,2F15.6,A1,2F15.6,A1)') &
'|',p,'|',eHF(p,1)*HaToeV,eHF(p,2)*HaToeV,'|',SigT(p,1)*HaToeV,SigT(p,2)*HaToeV,'|', &
Z(p,1),Z(p,2),'|',eGT(p,1)*HaToeV,eGT(p,2)*HaToeV,'|'
enddo
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F15.6,A3)') 'UG0T0 HOMO energy (eV) =',maxval(HOMO(:))*HaToeV,' eV'
write(*,'(2X,A50,F15.6,A3)') 'UG0T0 LUMO energy (eV) =',minval(LUMO(:))*HaToeV,' eV'
write(*,'(2X,A50,F15.6,A3)') 'UG0T0 HOMO-LUMO gap (eV) =',(minval(LUMO(:))-maxval(HOMO(:)))*HaToeV,' eV'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F20.10,A3)') ' Tr@ppRPA@UG0T0 correlation energy (singlet) =',EcRPA(1),' au'
write(*,'(2X,A50,F20.10,A3)') ' Tr@ppRPA@UG0T0 correlation energy (triplet) =',EcRPA(2),' au'
write(*,'(2X,A50,F20.10,A3)') ' Tr@ppRPA@UG0T0 correlation energy =',EcRPA(1) + EcRPA(2),' au'
write(*,'(2X,A50,F20.10,A3)') ' Tr@ppRPA@UG0T0 total energy =',ENuc + EUHF + EcRPA(1) + EcRPA(2),' au'
write(*,'(2X,A50,F20.10,A3)') ' GM@UG0T0 correlation energy =',EcGM,' au'
write(*,'(2X,A50,F20.10,A3)') ' GM@UG0T0 total energy =',ENuc + EUHF + EcGM,' au'
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
end subroutine print_evUGT

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@ -1188,7 +1188,12 @@ program QuAcK
if(unrestricted) then
print*,'!!! evGT NYI at the unrestricted level !!!'
!print*,'!!! evGT NYI at the unrestricted level !!!'
call evUGT(maxSCF_GT,thresh_GT,n_diis_GT,doACFDT,exchange_kernel,doXBS, &
BSE,TDA_T,TDA,dBSE,dTDA,evDyn,spin_conserved,spin_flip,&
eta_GT,regGT,nBas,nC,nO,nV,nR,nS,ENuc,EUHF,ERI_AO, &
ERI_MO_aaaa,ERI_MO_aabb,ERI_MO_bbbb,dipole_int_aa, &
dipole_int_bb,PHF,cHF,eHF,Vxc,eG0T0)
else