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QuAcK/src/MBPT/print_qsUGW.f90

205 lines
9.4 KiB
Fortran
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2020-10-21 12:09:18 +02:00
subroutine print_qsUGW(nBas,nO,Ov,nSCF,Conv,thresh,eGW,cGW,PGW,T,V,J,K,ENuc,EHF,SigC,Z,EcRPA,dipole)
! Print one-electron energies and other stuff for qsUGW
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nBas
integer,intent(in) :: nO(nspin)
double precision,intent(in) :: Ov(nBas,nBas)
integer,intent(in) :: nSCF
double precision,intent(in) :: ENuc
double precision,intent(in) :: EHF
double precision,intent(in) :: EcRPA
double precision,intent(in) :: Conv
double precision,intent(in) :: thresh
double precision,intent(in) :: eGW(nBas,nspin)
double precision,intent(in) :: cGW(nBas,nBas,nspin)
double precision,intent(in) :: PGW(nBas,nBas,nspin)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: J(nBas,nBas,nspin)
double precision,intent(in) :: K(nBas,nBas,nspin)
double precision,intent(in) :: SigC(nBas,nBas,nspin)
double precision,intent(in) :: Z(nBas,nspin)
double precision,intent(in) :: dipole(ncart)
! Local variables
integer :: p
integer :: ispin,ixyz
double precision :: HOMO(nspin)
double precision :: LUMO(nspin)
double precision :: Gap(nspin)
double precision :: ET(nspin)
double precision :: EV(nspin)
double precision :: EJ(nsp)
double precision :: Ex(nspin)
double precision :: Ec(nsp)
double precision :: EqsGW
double precision :: S_exact,S2_exact
double precision :: S,S2
double precision,external :: trace_matrix
! HOMO and LUMO
do ispin=1,nspin
if(nO(ispin) > 0) then
HOMO(ispin) = eGW(nO(ispin),ispin)
LUMO(ispin) = eGW(nO(ispin)+1,ispin)
Gap(ispin) = LUMO(ispin) - HOMO(ispin)
else
HOMO(ispin) = 0d0
LUMO(ispin) = eGW(1,ispin)
Gap(ispin) = 0d0
end if
end do
S2_exact = dble(nO(1) - nO(2))/2d0*(dble(nO(1) - nO(2))/2d0 + 1d0)
S2 = S2_exact + nO(2) - sum(matmul(transpose(cGW(:,1:nO(1),1)),matmul(Ov,cGW(:,1:nO(2),2)))**2)
S_exact = 0.5d0*dble(nO(1) - nO(2))
S = -0.5d0 + 0.5d0*sqrt(1d0 + 4d0*S2)
!------------------------------------------------------------------------
! Compute total energy
!------------------------------------------------------------------------
! Kinetic energy
do ispin=1,nspin
ET(ispin) = trace_matrix(nBas,matmul(PGW(:,:,ispin),T(:,:)))
end do
! Potential energy
do ispin=1,nspin
EV(ispin) = trace_matrix(nBas,matmul(PGW(:,:,ispin),V(:,:)))
end do
! Coulomb energy
EJ(1) = 0.5d0*trace_matrix(nBas,matmul(PGW(:,:,1),J(:,:,1)))
EJ(2) = trace_matrix(nBas,matmul(PGW(:,:,1),J(:,:,2)))
EJ(3) = 0.5d0*trace_matrix(nBas,matmul(PGW(:,:,2),J(:,:,2)))
! Exchange energy
do ispin=1,nspin
Ex(ispin) = 0.5d0*trace_matrix(nBas,matmul(PGW(:,:,ispin),K(:,:,ispin)))
end do
! Correlation energy
Ec(1) = 0.5d0*trace_matrix(nBas,matmul(PGW(:,:,1),SigC(:,:,1)))
Ec(2) = trace_matrix(nBas,matmul(PGW(:,:,1),SigC(:,:,2)))
Ec(3) = 0.5d0*trace_matrix(nBas,matmul(PGW(:,:,2),SigC(:,:,2)))
! Total energy
EqsGW = sum(ET(:)) + sum(EV(:)) + sum(EJ(:)) + sum(Ex(:)) + sum(Ec(:))
! Dump results
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
if(nSCF < 10) then
write(*,'(1X,A21,I1,A1,I1,A12)')' Self-consistent qsG',nSCF,'W',nSCF,' calculation'
else
write(*,'(1X,A21,I2,A1,I2,A12)')' Self-consistent qsG',nSCF,'W',nSCF,' calculation'
endif
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
write(*,'(A1,A3,A1,A30,A1,A30,A1,A30,A1,A30,A1)') &
'|',' ','|','e_HF ','|','Sig_c ','|','Z ','|','e_QP ','|'
write(*,'(A1,A3,A1,2A15,A1,2A15,A1,2A15,A1,2A15,A1)') &
'|','#','|','up ','dw ','|','up ','dw ','|','up ','dw ','|','up ','dw ','|'
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
do p=1,nBas
write(*,'(A1,I3,A1,2F15.6,A1,2F15.6,A1,2F15.6,A1,2F15.6,A1)') &
'|',p,'|',eGW(p,1)*HaToeV,eGW(p,2)*HaToeV,'|',SigC(p,p,1)*HaToeV,SigC(p,p,2)*HaToeV,'|', &
Z(p,1),Z(p,2),'|',eGW(p,1)*HaToeV,eGW(p,2)*HaToeV,'|'
enddo
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
write(*,'(2X,A10,I3)') 'Iteration ',nSCF
write(*,'(2X,A19,F15.5)')'max(|FPS - SPF|) = ',Conv
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
write(*,'(2X,A30,F15.6)') 'qsGW HOMO energy (eV):',maxval(HOMO(:))*HaToeV
write(*,'(2X,A30,F15.6)') 'qsGW LUMO energy (eV):',minval(LUMO(:))*HaToeV
write(*,'(2X,A30,F15.6)') 'qsGW HOMO-LUMO gap (eV):',(minval(LUMO(:))-maxval(HOMO(:)))*HaToeV
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
write(*,'(2X,A30,F15.6)') 'qsGW total energy =',EqsGW + ENuc
write(*,'(2X,A30,F15.6)') 'qsGW exchange energy =',sum(Ex(:))
write(*,'(2X,A30,F15.6)') 'qsGW correlation energy =',sum(Ec(:))
write(*,'(2X,A30,F15.6)') 'RPA@qsGW correlation energy =',EcRPA
write(*,*)'-------------------------------------------------------------------------------&
-------------------------------------------------'
write(*,*)
! Dump results for final iteration
if(Conv < thresh) then
write(*,*)
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A40)') ' Summary '
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A40,1X,F16.10,A3)') ' One-electron energy: ',sum(ET(:)) + sum(EV(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' One-electron a energy: ',ET(1) + EV(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' One-electron b energy: ',ET(2) + EV(2),' au'
write(*,*)
write(*,'(A40,1X,F16.10,A3)') ' Kinetic energy: ',sum(ET(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Kinetic a energy: ',ET(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Kinetic b energy: ',ET(2),' au'
write(*,*)
write(*,'(A40,1X,F16.10,A3)') ' Potential energy: ',sum(EV(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Potential a energy: ',EV(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Potential b energy: ',EV(2),' au'
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A40,1X,F16.10,A3)') ' Two-electron energy: ',sum(EJ(:)) + sum(Ex(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Two-electron aa energy: ',EJ(1) + Ex(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Two-electron ab energy: ',EJ(2),' au'
write(*,'(A40,1X,F16.10,A3)') ' Two-electron bb energy: ',EJ(3) + Ex(2),' au'
write(*,*)
write(*,'(A40,1X,F16.10,A3)') ' Coulomb energy: ',sum(EJ(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Coulomb aa energy: ',EJ(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Coulomb ab energy: ',EJ(2),' au'
write(*,'(A40,1X,F16.10,A3)') ' Coulomb bb energy: ',EJ(3),' au'
write(*,*)
write(*,'(A40,1X,F16.10,A3)') ' Exchange energy: ',sum(Ex(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Exchange a energy: ',Ex(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Exchange b energy: ',Ex(2),' au'
write(*,*)
write(*,'(A40,1X,F16.10,A3)') ' Correlation energy: ',sum(Ec(:)),' au'
write(*,'(A40,1X,F16.10,A3)') ' Correlation aa energy: ',Ec(1),' au'
write(*,'(A40,1X,F16.10,A3)') ' Correlation ab energy: ',Ec(2),' au'
write(*,'(A40,1X,F16.10,A3)') ' Correlation bb energy: ',Ec(3),' au'
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A40,1X,F16.10,A3)') ' Electronic energy: ',EqsGW,' au'
write(*,'(A40,1X,F16.10,A3)') ' Nuclear repulsion: ',ENuc,' au'
write(*,'(A40,1X,F16.10,A3)') ' qsUGW energy: ',EqsGW + ENuc,' au'
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A40,F13.6)') ' S (exact) :',2d0*S_exact + 1d0
write(*,'(A40,F13.6)') ' S :',2d0*S + 1d0
write(*,'(A40,F13.6)') ' <S**2> (exact) :',S2_exact
write(*,'(A40,F13.6)') ' <S**2> :',S2
write(*,'(A60)') '-------------------------------------------------'
write(*,'(A45)') ' Dipole moment (Debye) '
write(*,'(19X,4A10)') 'X','Y','Z','Tot.'
write(*,'(19X,4F10.6)') (dipole(ixyz)*auToD,ixyz=1,ncart),norm2(dipole)*auToD
write(*,'(A60)') '-------------------------------------------------'
write(*,*)
endif
end subroutine print_qsUGW