mirror of
https://github.com/pfloos/quack
synced 2024-12-23 12:55:25 +01:00
324 lines
10 KiB
Fortran
324 lines
10 KiB
Fortran
subroutine evUGW(dotest,maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,BSE,TDA_W,TDA,dBSE,dTDA, &
|
|
spin_conserved,spin_flip,linearize,eta,doSRG,nBas,nC,nO,nV,nR,nS,ENuc, &
|
|
EUHF,S,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb,cHF,eHF)
|
|
|
|
! Perform self-consistent eigenvalue-only GW calculation
|
|
|
|
implicit none
|
|
include 'parameters.h'
|
|
|
|
! Input variables
|
|
|
|
logical,intent(in) :: dotest
|
|
|
|
integer,intent(in) :: maxSCF
|
|
integer,intent(in) :: max_diis
|
|
double precision,intent(in) :: thresh
|
|
double precision,intent(in) :: ENuc
|
|
double precision,intent(in) :: EUHF
|
|
logical,intent(in) :: doACFDT
|
|
logical,intent(in) :: exchange_kernel
|
|
logical,intent(in) :: doXBS
|
|
logical,intent(in) :: BSE
|
|
logical,intent(in) :: TDA_W
|
|
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) :: doSRG
|
|
|
|
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) :: eHF(nBas,nspin)
|
|
double precision,intent(in) :: cHF(nBas,nBas,nspin)
|
|
double precision,intent(in) :: S(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
|
|
|
|
logical :: dRPA
|
|
logical :: linear_mixing
|
|
integer :: is
|
|
integer :: ispin
|
|
integer :: nSCF
|
|
integer :: n_diis
|
|
double precision :: rcond(nspin)
|
|
double precision :: Conv
|
|
double precision :: EcRPA(nspin)
|
|
double precision :: EcGM(nspin)
|
|
double precision :: EcBSE(nspin)
|
|
double precision :: alpha
|
|
double precision,allocatable :: error_diis(:,:,:)
|
|
double precision,allocatable :: e_diis(:,:,:)
|
|
double precision,allocatable :: eGW(:,:)
|
|
double precision,allocatable :: eOld(:,:)
|
|
double precision,allocatable :: Z(:,:)
|
|
integer :: nSa,nSb,nSt
|
|
double precision,allocatable :: SigC(:,:)
|
|
|
|
double precision,allocatable :: Aph(:,:)
|
|
double precision,allocatable :: Bph(:,:)
|
|
double precision,allocatable :: Om(:)
|
|
double precision,allocatable :: XpY(:,:)
|
|
double precision,allocatable :: XmY(:,:)
|
|
double precision,allocatable :: rho(:,:,:,:)
|
|
|
|
! Hello world
|
|
|
|
write(*,*)
|
|
write(*,*)'*********************************'
|
|
write(*,*)'| Unrestricted evGW Calculation *'
|
|
write(*,*)'*********************************'
|
|
write(*,*)
|
|
|
|
! TDA for W
|
|
|
|
if(TDA_W) then
|
|
write(*,*) 'Tamm-Dancoff approximation for dynamic screening!'
|
|
write(*,*)
|
|
end if
|
|
|
|
! SRG regularization
|
|
|
|
if(doSRG) then
|
|
|
|
write(*,*) '*** SRG regularized qsGW scheme ***'
|
|
write(*,*)
|
|
|
|
end if
|
|
|
|
! Initialization
|
|
|
|
EcRPA(:) = 0d0
|
|
dRPA = .true.
|
|
|
|
! Linear mixing
|
|
|
|
linear_mixing = .false.
|
|
alpha = 0.2d0
|
|
|
|
! Memory allocation
|
|
|
|
nSa = nS(1)
|
|
nSb = nS(2)
|
|
nSt = nSa + nSb
|
|
|
|
allocate(eGW(nBas,nspin),eOld(nBas,nspin),Z(nBas,nspin),SigC(nBas,nspin), &
|
|
Aph(nSt,nSt),Bph(nSt,nSt),Om(nSt),XpY(nSt,nSt),XmY(nSt,nSt), &
|
|
rho(nBas,nBas,nSt,nspin),error_diis(nBas,max_diis,nspin),e_diis(nBas,max_diis,nspin))
|
|
|
|
! Initialization
|
|
|
|
nSCF = 0
|
|
ispin = 1
|
|
n_diis = 0
|
|
Conv = 1d0
|
|
e_diis(:,:,:) = 0d0
|
|
error_diis(:,:,:) = 0d0
|
|
eGW(:,:) = eHF(:,:)
|
|
eOld(:,:) = eGW(:,:)
|
|
Z(:,:) = 1d0
|
|
rcond(:) = 0d0
|
|
|
|
!------------------------------------------------------------------------
|
|
! Main loop
|
|
!------------------------------------------------------------------------
|
|
|
|
do while(Conv > thresh .and. nSCF <= maxSCF)
|
|
|
|
! Compute screening
|
|
|
|
call phULR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nSa,nSb,nSt,1d0,eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,Aph)
|
|
if(.not.TDA) call phULR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nSa,nSb,nSt,1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,Bph)
|
|
|
|
call phULR(TDA_W,nSa,nSb,nSt,Aph,Bph,EcRPA(ispin),Om,XpY,XmY)
|
|
|
|
!----------------------!
|
|
! Excitation densities !
|
|
!----------------------!
|
|
|
|
call UGW_excitation_density(nBas,nC,nO,nR,nSa,nSb,nSt,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY,rho)
|
|
|
|
!------------------------------------------------!
|
|
! Compute self-energy and renormalization factor !
|
|
!------------------------------------------------!
|
|
|
|
if(doSRG) then
|
|
call UGW_SRG_self_energy_diag(nBas,nC,nO,nV,nR,nSt,eGW,Om,rho,SigC,Z,EcGM)
|
|
else
|
|
call UGW_self_energy_diag(eta,nBas,nC,nO,nV,nR,nSt,eGW,Om,rho,SigC,Z,EcGM)
|
|
end if
|
|
|
|
|
|
!-----------------------------------!
|
|
! Solve the quasi-particle equation !
|
|
!-----------------------------------!
|
|
|
|
if(linearize) then
|
|
|
|
write(*,*) ' *** Quasiparticle energies obtained by linearization *** '
|
|
write(*,*)
|
|
|
|
eGW(:,:) = eHF(:,:) + SigC(:,:)
|
|
|
|
else
|
|
|
|
write(*,*) ' *** Quasiparticle energies obtained by root search *** '
|
|
write(*,*)
|
|
|
|
do is=1,nspin
|
|
|
|
write(*,*)'-----------------------------------------------------'
|
|
if(is==1) write(*,*)' Spin-up orbitals '
|
|
if(is==2) write(*,*)' Spin-down orbitals '
|
|
|
|
call UGW_QP_graph(eta,nBas,nC(is),nO(is),nV(is),nR(is),nSt,eHF(:,is), &
|
|
Om,rho(:,:,:,is),eOld(:,is),eOld(:,is),eGW(:,is),Z(:,is))
|
|
end do
|
|
|
|
end if
|
|
|
|
! Convergence criteria
|
|
|
|
Conv = maxval(abs(eGW(:,:) - eOld(:,:)))
|
|
|
|
! Print results
|
|
|
|
call print_evUGW(nBas,nO,nSCF,Conv,eHF,ENuc,EUHF,SigC,Z,eGW,EcRPA(ispin),EcGM)
|
|
|
|
! Linear mixing or DIIS extrapolation
|
|
|
|
if(linear_mixing) then
|
|
|
|
eGW(:,:) = alpha*eGW(:,:) + (1d0 - alpha)*eOld(:,:)
|
|
|
|
else
|
|
|
|
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),eGW(:,is)-eOld(:,is),eGW(:,is))
|
|
end do
|
|
|
|
! Reset DIIS if required
|
|
|
|
if(minval(rcond(:)) < 1d-15) n_diis = 0
|
|
|
|
end if
|
|
|
|
! Save quasiparticles energy for next cycle
|
|
|
|
eOld(:,:) = eGW(:,:)
|
|
|
|
! Increment
|
|
|
|
nSCF = nSCF + 1
|
|
|
|
end do
|
|
!------------------------------------------------------------------------
|
|
! End main loop
|
|
!------------------------------------------------------------------------
|
|
|
|
! Did it actually converge?
|
|
|
|
if(nSCF == maxSCF+1) then
|
|
|
|
write(*,*)
|
|
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
|
|
write(*,*)' Convergence failed '
|
|
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
|
|
write(*,*)
|
|
|
|
stop
|
|
|
|
end if
|
|
|
|
! Deallocate memory
|
|
|
|
deallocate(eOld,Z,SigC,Om,XpY,XmY,rho,error_diis,e_diis)
|
|
|
|
! Perform BSE calculation
|
|
|
|
if(BSE) then
|
|
|
|
call UGW_phBSE(TDA_W,TDA,dBSE,dTDA,spin_conserved,spin_flip,eta,nBas,nC,nO,nV,nR,nS, &
|
|
S,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb,cHF,eGW,eGW,EcBSE)
|
|
|
|
if(exchange_kernel) then
|
|
|
|
EcBSE(1) = 0.5d0*EcBSE(1)
|
|
EcBSE(2) = 0.5d0*EcBSE(2)
|
|
|
|
else
|
|
|
|
EcBSE(2) = 0.0d0
|
|
|
|
end if
|
|
|
|
write(*,*)
|
|
write(*,*)'-------------------------------------------------------------------------------'
|
|
write(*,'(2X,A50,F20.10,A3)') 'Tr@BSE@evGW@UHF correlation energy (spin-conserved) =',EcBSE(1),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'Tr@BSE@evGW@UHF correlation energy (spin-flip) =',EcBSE(2),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'Tr@BSE@evGW@UHF correlation energy =',sum(EcBSE),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'Tr@BSE@evGW@UHF total energy =',ENuc + EUHF + sum(EcBSE),' au'
|
|
write(*,*)'-------------------------------------------------------------------------------'
|
|
write(*,*)
|
|
|
|
! Compute the BSE correlation energy via the adiabatic connection
|
|
|
|
if(doACFDT) then
|
|
|
|
write(*,*) '--------------------------------------------------------------'
|
|
write(*,*) ' Adiabatic connection version of BSE@evUGW correlation energy '
|
|
write(*,*) '--------------------------------------------------------------'
|
|
write(*,*)
|
|
|
|
if(doXBS) then
|
|
|
|
write(*,*) '*** scaled screening version (XBS) ***'
|
|
write(*,*)
|
|
|
|
end if
|
|
|
|
call UGW_phACFDT(exchange_kernel,doXBS,.true.,TDA_W,TDA,BSE,spin_conserved,spin_flip, &
|
|
eta,nBas,nC,nO,nV,nR,nS,ERI_aaaa,ERI_aabb,ERI_bbbb,eGW,eGW,EcRPA)
|
|
|
|
write(*,*)
|
|
write(*,*)'-------------------------------------------------------------------------------'
|
|
write(*,'(2X,A50,F20.10,A3)') 'AC@BSE@evGW@UHF correlation energy (spin-conserved) =',EcRPA(1),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'AC@BSE@evGW@UHF correlation energy (spin-flip) =',EcRPA(2),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'AC@BSE@evGW@UHF correlation energy =',sum(EcRPA),' au'
|
|
write(*,'(2X,A50,F20.10,A3)') 'AC@BSE@evGW@UHF total energy =',ENuc + EUHF + sum(EcRPA),' au'
|
|
write(*,*)'-------------------------------------------------------------------------------'
|
|
write(*,*)
|
|
|
|
end if
|
|
|
|
end if
|
|
|
|
! Testing zone
|
|
|
|
if(dotest) then
|
|
|
|
call dump_test_value('U','evGW correlation energy',EcRPA)
|
|
call dump_test_value('U','evGW HOMOa energy',eGW(nO(1),1))
|
|
call dump_test_value('U','evGW LUMOa energy',eGW(nO(1)+1,1))
|
|
call dump_test_value('U','evGW HOMOa energy',eGW(nO(2),2))
|
|
call dump_test_value('U','evGW LUMOa energy',eGW(nO(2)+1,2))
|
|
|
|
end if
|
|
|
|
end subroutine
|