This commit is contained in:
EnzoMonino 2022-02-25 09:40:39 +01:00
parent cb0054c441
commit 9f2bb3ba7d
7 changed files with 744 additions and 9 deletions

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@ -1,5 +1,5 @@
# RHF UHF KS MOM
T F F F
F T F F
# MP2* MP3 MP2-F12
F F F
# CCD pCCD DCD CCSD CCSD(T)
@ -13,9 +13,9 @@
# G0F2* evGF2* qsGF2* G0F3 evGF3
F F F F F
# G0W0* evGW* qsGW* ufG0W0 ufGW
F F F T F
F F F F F
# G0T0 evGT qsGT
F F F
F F T
# MCMP2
F
# * unrestricted version available

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@ -1,15 +1,15 @@
# HF: maxSCF thresh DIIS n_diis guess_type ortho_type mix_guess level_shift stability
256 0.0000001 T 5 2 1 F 0.0 F
256 0.00001 T 5 2 1 T 0.0 F
# MP:
# CC: maxSCF thresh DIIS n_diis
64 0.00001 T 5
# spin: TDA singlet triplet spin_conserved spin_flip
F T T T T
T T T T T
# GF: maxSCF thresh DIIS n_diis lin eta renorm reg
256 0.00001 T 5 T 0.0 3 F
# GW: maxSCF thresh DIIS n_diis lin eta COHSEX SOSEX TDA_W G0W GW0 reg
256 0.00001 T 5 T 0.0 F F F F F F
256 0.00001 T 5 T 0.0 F F T F F F
# GT: maxSCF thresh DIIS n_diis lin eta TDA_T reg
256 0.00001 T 5 T 0.0 F F
# ACFDT: AC Kx XBS

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@ -1,4 +1,4 @@
2
H 0. 0. 0.
H 0. 0. 0.30
H 0. 0. 1.0

82
src/GT/print_qsUGT.f90 Normal file
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subroutine print_qsUGT(nBas,nO,nSCF,Conv,eHF,ENuc,EUHF,SigT,Z,eGT,ET,EV,EJ,Ex,EcGM,EcRPA,EqsGT)
! Print one-electron energies and other stuff for UG0T0
implicit none
include 'parameters.h'
integer,intent(in) :: nBas
integer,intent(in) :: nO(nspin)
integer,intent(in) :: nSCF
double precision,intent(in) :: Conv
double precision,intent(in) :: ENuc
double precision,intent(in) :: EUHF
double precision,intent(in) :: ET(nspin)
double precision,intent(in) :: EV(nspin)
double precision,intent(in) :: EJ(nsp)
double precision,intent(in) :: Ex(nspin)
double precision,intent(in) :: EcGM(nspin)
double precision,intent(in) :: EcRPA(nspin)
double precision,intent(in) :: EqsGT
double precision,intent(in) :: eHF(nBas,nspin)
double precision,intent(in) :: SigT(nBas,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(*,*)'-------------------------------------------------------------------------------'
if(nSCF < 10) then
write(*,'(1X,A21,I1,A1,I1,A12)')' Self-consistent qsG',nSCF,'T',nSCF,' calculation'
else
write(*,'(1X,A21,I2,A1,I2,A12)')' Self-consistent qsG',nSCF,'T',nSCF,' calculation'
endif
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,p,1)*HaToeV,SigT(p,p,2)*HaToeV,'|', &
Z(p,1),Z(p,2),'|',eGT(p,1)*HaToeV,eGT(p,2)*HaToeV,'|'
enddo
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A10,I3)') 'Iteration ',nSCF
write(*,'(2X,A14,F15.5)')'Convergence = ',Conv
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F15.6,A3)') 'qsUGT HOMO energy (eV) =',maxval(HOMO(:))*HaToeV,' eV'
write(*,'(2X,A50,F15.6,A3)') 'qsUGT LUMO energy (eV) =',minval(LUMO(:))*HaToeV,' eV'
write(*,'(2X,A50,F15.6,A3)') 'qsUGT HOMO-LUMO gap (eV) =',(minval(LUMO(:))-maxval(HOMO(:)))*HaToeV,' eV'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F15.6,A3)') ' qsGT total energy:',ENuc + EqsGT,' au'
write(*,'(2X,A50,F15.6,A3)') ' qsGT exchange energy:',sum(Ex(:)),' au'
write(*,'(2X,A50,F15.6,A3)') ' GM@qsGT correlation energy:',sum(EcGM(:)),' au'
write(*,'(2X,A50,F15.6,A3)') 'ppRPA@qsGT correlation energy:',sum(EcRPA(:)),' au'
write(*,*)'-------------------------------------------'
write(*,*)
end subroutine print_qsUGT

443
src/GT/qsUGT.f90 Normal file
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subroutine qsUGT(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,nNuc,ZNuc,rNuc,ENuc,EUHF,S,X,T,V,Hc,ERI_AO,ERI_aaaa,&
ERI_aabb,ERI_bbbb,dipole_int_AO,dipole_int_aa,dipole_int_bb,PHF,cHF,eHF)
! Perform a quasiparticle self-consistent GT calculation
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) :: nNuc
double precision,intent(in) :: ZNuc(nNuc)
double precision,intent(in) :: rNuc(nNuc,ncart)
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) :: PHF(nBas,nBas,nspin)
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
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_AO(nBas,nBas,ncart)
double precision,intent(in) :: dipole_int_aa(nBas,nBas,ncart)
double precision,intent(in) :: dipole_int_bb(nBas,nBas,ncart)
! Local variables
integer :: nSCF
integer :: nBasSq
double precision :: dipole(ncart)
integer :: n_diis
double precision :: rcond(nspin)
double precision,external :: trace_matrix
double precision :: Conv
double precision :: ET(nspin)
double precision :: EV(nspin)
double precision :: EJ(nsp)
double precision :: Ex(nspin)
double precision :: EqsGT
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(nspin)
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 :: c(:,:,:)
double precision,allocatable :: cp(:,:,:)
double precision,allocatable :: P(:,:,:)
double precision,allocatable :: F(:,:,:)
double precision,allocatable :: Fp(:,:,:)
double precision,allocatable :: J(:,:,:)
double precision,allocatable :: K(:,:,:)
double precision,allocatable :: SigT(:,:,:)
double precision,allocatable :: SigTp(:,:,:)
double precision,allocatable :: SigTm(:,:,:)
double precision,allocatable :: Z(:,:)
double precision,allocatable :: eGT(:,:)
double precision,allocatable :: eOld(:,:)
double precision,allocatable :: error_diis(:,:,:)
double precision,allocatable :: e_diis(:,:,:)
double precision,allocatable :: F_diis(:,:,:)
double precision,allocatable :: error(:,:,:)
! Hello world
write(*,*)
write(*,*)'************************************************'
write(*,*)'| Self-consistent qsUGT 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
nBasSq = nBas*nBas
! Memory allocation
allocate(SigT(nBas,nbas,nspin),SigTp(nBas,nbas,nspin),SigTm(nBas,nbas,nspin), &
Z(nBas,nspin),eGT(nBas,nspin),eOld(nBas,nspin), &
error_diis(nBas,max_diis,nspin),e_diis(nBasSq,max_diis,nspin), &
F_diis(nBasSq,max_diis,nspin),error(nBas,nBas,nspin),&
c(nBas,nBas,nspin),cp(nBas,nBas,nspin),P(nBas,nBas,nspin),F(nBas,nBas,nspin), &
Fp(nBas,nBas,nspin),J(nBas,nBas,nspin),K(nBas,nBas,nspin))
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))
!Initialization
nSCF = -1
n_diis = 0
Conv = 1d0
P(:,:,:) = PHF(:,:,:)
e_diis(:,:,:) = 0d0
error_diis(:,:,:) = 0d0
eGT(:,:) = eHF(:,:)
eOld(:,:) = eHF(:,:)
c(:,:,:) = cHF(:,:,:)
Z(:,:) = 1d0
rcond(:) = 0d0
!------------------------------------------------------------------------
! Main loop
!------------------------------------------------------------------------
do while(Conv > thresh .and. nSCF <= maxSCF)
! Increment
nSCF = nSCF + 1
! Buid Coulomb matrix
do ispin=1,nspin
call Coulomb_matrix_AO_basis(nBas,P(:,:,ispin),ERI_AO(:,:,:,:), &
J(:,:,ispin))
end do
! Compute exchange part of the self-energy
do ispin=1,nspin
call exchange_matrix_AO_basis(nBas,P(:,:,ispin),ERI_AO(:,:,:,:), &
K(:,:,ispin))
end do
! AO to MO transformation of two-electron integrals
! 4-index transform for (aa|aa) block
call AOtoMO_integral_transform(1,1,1,1,nBas,c,ERI_AO,ERI_aaaa)
! 4-index transform for (aa|bb) block
call AOtoMO_integral_transform(1,1,2,2,nBas,c,ERI_AO,ERI_aabb)
! 4-index transform for (bb|bb) block
call AOtoMO_integral_transform(2,2,2,2,nBas,c,ERI_AO,ERI_bbbb)
!----------------------------------------------
! 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,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1ab,X1ab,Y1ab, &
Omega2ab,X2ab,Y2ab,EcRPA(ispin))
! EcRPA(ispin) = 1d0*EcRPA(ispin)
!----------------------------------------------
! 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,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1aa,X1aa,Y1aa, &
Omega2aa,X2aa,Y2aa,EcRPA(ispin))
! EcRPA(ispin) = 2d0*EcRPA(ispin)
! EcRPA(ispin) = 3d0*EcRPA(ispin)
Ecaa = EcRPA(2)
!----------------------------------------------
! 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,eGT,ERI_aaaa, &
ERI_aabb,ERI_bbbb,Omega1bb,X1bb,Y1bb, &
Omega2bb,X2bb,Y2bb,EcRPA(ispin))
! EcRPA(ispin) = 2d0*EcRPA(ispin)
! EcRPA(ispin) = 3d0*EcRPA(ispin)
Ecbb = EcRPA(2)
EcRPA(2) = Ecaa + Ecbb
EcRPA(1) = EcRPA(1) - EcRPA(2)
EcRPA(2) = 3d0*EcRPA(2)
!----------------------------------------------
! 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(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,nPaa,&
nPab,nPbb,eGT,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,eGT,Omega1aa,Omega1ab,&
Omega1bb,rho1aa,rho1ab,rho1bb, &
Omega2aa,Omega2ab,Omega2bb,rho2aa, &
rho2ab,rho2bb,Z)
Z(:,:) = 1d0/(1d0 - Z(:,:))
! Make correlation self-energy Hermitian and transform it back to AO basis
do ispin=1,nspin
SigTp(:,:,ispin) = 0.5d0*(SigT(:,:,ispin) + transpose(SigT(:,:,ispin)))
SigTm(:,:,ispin) = 0.5d0*(SigT(:,:,ispin) - transpose(SigT(:,:,ispin)))
end do
do ispin=1,nspin
call MOtoAO_transform(nBas,S,c(:,:,ispin),SigTp(:,:,ispin))
end do
! Solve the quasi-particle equation
do ispin=1,nspin
F(:,:,ispin) = Hc(:,:) + J(:,:,ispin) + J(:,:,mod(ispin,2)+1) + K(:,:,ispin) &
+ SigT(:,:,ispin)
end do
! Compute commutator and convergence criteria
do ispin=1,nspin
error_diis(:,:,ispin) = matmul(F(:,:,ispin),matmul(P(:,:,ispin),S(:,:))) &
- matmul(matmul(S(:,:),P(:,:,ispin)),F(:,:,ispin))
end do
! DIIS extrapolation
n_diis = min(n_diis+1,max_diis)
if(minval(rcond(:)) > 1d-7) then
do ispin=1,nspin
if(nO(ispin) > 1) call DIIS_extrapolation(rcond(ispin),nBasSq,nBasSq,n_diis, &
error_diis(:,1:n_diis,ispin), &
F_diis(:,1:n_diis,ispin),&
error_diis(:,:,ispin),F(:,:,ispin))
end do
else
n_diis = 0
end if
! Transform Fock matrix in orthogonal basis
do ispin=1,nspin
Fp(:,:,ispin) = matmul(transpose(X(:,:)),matmul(F(:,:,ispin),X(:,:)))
end do
! Diagonalize Fock matrix to get eigenvectors and eigenvalues
cp(:,:,:) = Fp(:,:,:)
do ispin=1,nspin
call diagonalize_matrix(nBas,cp(:,:,ispin),eGT(:,ispin))
end do
! Back-transform eigenvectors in non-orthogonal basis
do ispin=1,nspin
c(:,:,ispin) = matmul(X(:,:),cp(:,:,ispin))
end do
! Back-transform self-energy
do ispin=1,nspin
SigTp(:,:,ispin) = matmul(transpose(c(:,:,ispin)),matmul(SigTp(:,:,ispin),c(:,:,ispin)))
end do
! Compute density matrix
do ispin=1,nspin
P(:,:,ispin) = matmul(c(:,1:nO(ispin),ispin),transpose(c(:,1:nO(ispin),ispin)))
end do
! Save quasiparticles energy for next cycle
Conv = maxval(abs(eGT(:,:) - eOld(:,:)))
eOld(:,:) = eGT(:,:)
!------------------------------------------------------------------------
! Compute total energy
!------------------------------------------------------------------------
! Kinetic energy
do ispin=1,nspin
ET(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),T(:,:)))
end do
! Potential energy
do ispin=1,nspin
EV(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),V(:,:)))
end do
! Coulomb energy
EJ(1) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,1),J(:,:,1)))
EJ(2) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,1),J(:,:,2))) &
+ 0.5d0*trace_matrix(nBas,matmul(P(:,:,2),J(:,:,1)))
EJ(3) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,2),J(:,:,2)))
! Exchange energy
do ispin=1,nspin
Ex(ispin) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,ispin),K(:,:,ispin)))
end do
! Total energy
EqsGT = sum(ET(:)) + sum(EV(:)) + sum(EJ(:)) + sum(Ex(:))
! Print results
call dipole_moment(nBas,P,nNuc,ZNuc,rNuc,dipole_int_AO,dipole)
call print_qsUGT(nBas,nO,nSCF,Conv,thresh,eHF,eGT,c,SigTp,Z,ENuc,ET,EV,EJ,Ex,EcGM,EcRPA,EqsGT,dipole)
enddo
!------------------------------------------------------------------------
! End main loop
!------------------------------------------------------------------------
! Did it actually converge?
if(nSCF == maxSCF+1) then
write(*,*)
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)' Convergence failed '
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)
stop
endif
! 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)
deallocate(c,cp,P,F,Fp,J,K,SigT,SigTp,SigTm,Z,error,error_diis,F_diis)
end subroutine qsUGT

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subroutine unrestricted_self_energy_Tmatrix(eta,nBas,nC,nO,nV,nR,nHaa,nHab,nHbb,nPaa,&
nPab,nPbb,e,Omega1aa,Omega1ab,Omega1bb,&
rho1aa,rho1ab,rho1bb,Omega2aa,Omega2ab,&
Omega2bb,rho2aa,rho2ab,rho2bb,EcGM,SigT)
! Compute the correlation part of the T-matrix self-energy
implicit none
include 'parameters.h'
! Input variables
double precision,intent(in) :: eta
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) :: nHaa,nHab,nHbb
integer,intent(in) :: nPaa,nPab,nPbb
double precision,intent(in) :: e(nBas,nspin)
double precision,intent(in) :: Omega1aa(nPaa),Omega1ab(nPab),Omega1bb(nPbb)
double precision,intent(in) :: rho1aa(nBas,nBas,nPaa),rho1ab(nBas,nBas,nPab)
double precision,intent(in) :: rho1bb(nBas,nBas,nPbb)
double precision,intent(in) :: Omega2aa(nHaa),Omega2ab(nHab),Omega2bb(nHbb)
double precision,intent(in) :: rho2aa(nBas,nBas,nHaa),rho2ab(nBas,nBas,nHab)
double precision,intent(in) :: rho2bb(nBas,nBas,nHbb)
! Local variables
integer :: i,j,a,b,p,q,cd,kl
double precision :: eps
! Output variables
double precision,intent(inout) :: EcGM(nspin)
double precision,intent(inout) :: SigT(nBas,nBas,nspin)
!----------------------------------------------
! Occupied part of the T-matrix self-energy
!----------------------------------------------
!spin up part
do p=nC(1)+1,nBas-nR(1)
do q=nC(1)+1,nBas-nR(1)
do i=nC(1)+1,nO(1)
do cd=1,nPaa
eps = e(p,1) + e(i,1) - Omega1aa(cd)
SigT(p,q,1) = SigT(p,q,1) + rho1aa(p,i,cd)*rho1aa(q,i,cd)*eps/(eps**2 + eta**2)
enddo
enddo
do i=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(p,1) + e(i,1) - Omega1ab(cd)
SigT(p,q,1) = SigT(p,q,1) + rho1ab(p,i,cd)*rho1ab(q,i,cd)*eps/(eps**2 + eta**2)
end do
end do
enddo
enddo
!spin down part
do p=nC(2)+1,nBas-nR(2)
do q=nC(2)+1,nBas-nR(2)
do i=nC(2)+1,nO(2)
do cd=1,nPbb
eps = e(p,2) + e(i,2) - Omega1bb(cd)
SigT(p,q,2) = SigT(p,q,2) + rho1bb(p,i,cd)*rho1bb(q,i,cd)*eps/(eps**2 + eta**2)
enddo
enddo
do i=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(p,2) + e(i,2) - Omega1ab(cd)
SigT(p,q,2) = SigT(p,q,2) + rho1ab(p,i,cd)*rho1ab(q,i,cd)*eps/(eps**2 + eta**2)
end do
end do
enddo
enddo
!----------------------------------------------
! Virtual part of the T-matrix self-energy
!----------------------------------------------
! spin up part
do p=nC(1)+1,nBas-nR(1)
do q=nC(1)+1,nBas-nR(1)
do a=nO(1)+1,nBas-nR(1)
do kl=1,nHaa
eps = e(p,1) + e(a,1) - Omega2aa(kl)
SigT(p,q,1) = SigT(p,q,1) + rho2aa(p,a,kl)*rho2aa(q,a,kl)*eps/(eps**2 + eta**2)
enddo
end do
do a=nO(1)+1,nBas-nR(1)
do kl=1,nHab
eps = e(p,1) + e(a,1) - Omega2ab(kl)
SigT(p,q,1) = SigT(p,q,1) + rho2ab(p,a,kl)*rho2ab(q,a,kl)*eps/(eps**2 + eta**2)
end do
end do
enddo
enddo
!spin down part
do p=nC(2)+1,nBas-nR(2)
do q=nC(2)+1,nBas-nR(2)
do a=nO(2)+1,nBas-nR(2)
do kl=1,nHbb
eps = e(p,2) + e(a,2) - Omega2bb(kl)
SigT(p,q,2) = SigT(p,q,2) + rho2bb(p,a,kl)*rho2bb(q,a,kl)*eps/(eps**2 + eta**2)
enddo
enddo
do a=nO(2)+1,nBas-nR(2)
do kl=1,nHab
eps = e(p,2) + e(a,2) - Omega2ab(kl)
SigT(p,q,2) = SigT(p,q,2) + rho2ab(p,a,kl)*rho2ab(q,a,kl)*eps/(eps**2 + eta**2)
end do
end do
enddo
enddo
!----------------------------------------------
! Galitskii-Migdal correlation energy
!----------------------------------------------
!spin up part
do i=nC(1)+1,nO(1)
do j=nC(1)+1,nO(1)
do cd=1,nPaa
eps = e(i,1) + e(j,1) - Omega1aa(cd)
EcGM(1) = EcGM(1) + rho1aa(i,j,cd)*rho1aa(i,j,cd)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
do i=nC(1)+1,nO(1)
do j=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(i,1) + e(j,1) - Omega1ab(cd)
EcGM(1) = EcGM(1) + rho1ab(i,j,cd)*rho1ab(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(1)+1,nBas-nR(1)
do b=nO(1)+1,nBas-nR(1)
do kl=1,nHaa
eps = e(a,1) + e(b,1) - Omega2aa(kl)
EcGM(1) = EcGM(1) - rho2aa(a,b,kl)*rho2aa(a,b,kl)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
do a=nO(1)+1,nBas-nR(1)
do b=nO(1)+1,nBas-nR(1)
do kl=1,nHab
eps = e(a,1) + e(b,1) - Omega2ab(kl)
EcGM(1) = EcGM(1) - rho2ab(a,b,kl)*rho2ab(a,b,kl)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
! spin down part
do i=nC(2)+1,nO(2)
do j=nC(2)+1,nO(2)
do cd=1,nPbb
eps = e(i,2) + e(j,2) - Omega1bb(cd)
EcGM(2) = EcGM(2) + rho1bb(i,j,cd)*rho1bb(i,j,cd)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
do i=nC(1)+1,nO(1)
do j=nC(2)+1,nO(2)
do cd=1,nPab
eps = e(i,2) + e(j,2) - Omega1ab(cd)
EcGM(2) = EcGM(2) + rho1ab(i,j,cd)*rho1ab(i,j,cd)*eps/(eps**2 + eta**2)
end do
end do
end do
do a=nO(1)+1,nBas-nR(1)
do b=nO(2)+1,nBas-nR(2)
do kl=1,nHab
eps = e(a,2) + e(b,2) - Omega2ab(kl)
EcGM(2) = EcGM(2) - rho2ab(a,b,kl)*rho2ab(a,b,kl)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
do a=nO(2)+1,nBas-nR(2)
do b=nO(2)+1,nBas-nR(2)
do kl=1,nHbb
eps = e(a,2) + e(b,2) - Omega2bb(kl)
EcGM(2) = EcGM(2) - rho2bb(a,b,kl)*rho2bb(a,b,kl)*eps/(eps**2 + eta**2)
enddo
enddo
enddo
end subroutine unrestricted_self_energy_Tmatrix

View File

@ -1222,8 +1222,11 @@ program QuAcK
if(unrestricted) then
print*,'!!! qsGT NYI at the unrestricted level !!!'
!print*,'!!! qsGT NYI at the unrestricted level !!!'
call qsUGT(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,nNuc,ZNuc,rNuc,ENuc,EUHF,S,X,T,V,Hc,ERI_AO,ERI_MO_aaaa,ERI_MO_aabb,&
ERI_MO_bbbb,dipole_int_AO,dipole_int_aa,dipole_int_bb,PHF,cHF,eHF)
else
call qsGT(maxSCF_GT,thresh_GT,n_diis_GT,doACFDT,exchange_kernel,doXBS, &