subroutine evUGW(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,BSE,TDA_W,TDA, & dBSE,dTDA,spin_conserved,spin_flip,eta,regularize,nBas,nC,nO,nV,nR,nS,ENuc, & EUHF,S,ERI_AO,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb,PHF,cHF,eHF,Vxc,eG0W0) ! Perform self-consistent eigenvalue-only GW calculation implicit none include 'parameters.h' ! Input variables 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 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) :: PHF(nBas,nBas,nspin) double precision,intent(in) :: eHF(nBas,nspin) double precision,intent(in) :: cHF(nBas,nBas,nspin) double precision,intent(in) :: Vxc(nBas,nspin) double precision,intent(in) :: eG0W0(nBas,nspin) double precision,intent(in) :: S(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_aa(nBas,nBas,ncart) double precision,intent(in) :: dipole_int_bb(nBas,nBas,ncart) ! Local variables logical :: linear_mixing integer :: is integer :: ispin integer :: nSCF integer :: n_diis double precision :: rcond(nspin) double precision :: Conv double precision :: EcRPA double precision :: EcGM(nspin) double precision :: EcBSE(nspin) double precision :: EcAC(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 :: nS_aa,nS_bb,nS_sc double precision,allocatable :: SigX(:,:) double precision,allocatable :: SigC(:,:) double precision,allocatable :: OmRPA(:) double precision,allocatable :: XpY_RPA(:,:) double precision,allocatable :: XmY_RPA(:,:) double precision,allocatable :: rho_RPA(:,:,:,:) ! Hello world write(*,*) write(*,*)'************************************************' write(*,*)'| Self-consistent evGW calculation |' write(*,*)'************************************************' write(*,*) ! TDA for W if(TDA_W) then write(*,*) 'Tamm-Dancoff approximation for dynamic screening!' write(*,*) end if ! TDA if(TDA) then write(*,*) 'Tamm-Dancoff approximation activated!' write(*,*) end if ! Linear mixing linear_mixing = .false. alpha = 0.2d0 ! Memory allocation nS_aa = nS(1) nS_bb = nS(2) nS_sc = nS_aa + nS_bb allocate(eGW(nBas,nspin),eOld(nBas,nspin),Z(nBas,nspin),SigX(nBas,nspin),SigC(nBas,nspin), & OmRPA(nS_sc),XpY_RPA(nS_sc,nS_sc),XmY_RPA(nS_sc,nS_sc),rho_RPA(nBas,nBas,nS_sc,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 ispin = 1 n_diis = 0 Conv = 1d0 e_diis(:,:,:) = 0d0 error_diis(:,:,:) = 0d0 eGW(:,:) = eG0W0(:,:) eOld(:,:) = eGW(:,:) Z(:,:) = 1d0 rcond(:) = 0d0 !------------------------------------------------------------------------ ! Main loop !------------------------------------------------------------------------ do while(Conv > thresh .and. nSCF <= maxSCF) ! Compute screening call phULR(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0, & eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,OmRPA,rho_RPA,EcRPA,OmRPA,XpY_RPA,XmY_RPA) !----------------------! ! Excitation densities ! !----------------------! call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_RPA,rho_RPA) !------------------------------------------------! ! Compute self-energy and renormalization factor ! !------------------------------------------------! if(regularize) then call unrestricted_regularized_self_energy_correlation_diag(eta,nBas,nC,nO,nV,nR,nS_sc,eGW,OmRPA,rho_RPA,SigC,EcGM) call unrestricted_regularized_renormalization_factor(eta,nBas,nC,nO,nV,nR,nS_sc,eGW,OmRPA,rho_RPA,Z) else call unrestricted_self_energy_correlation_diag(eta,nBas,nC,nO,nV,nR,nS_sc,eGW,OmRPA,rho_RPA,SigC,EcGM) call unrestricted_renormalization_factor(eta,nBas,nC,nO,nV,nR,nS_sc,eGW,OmRPA,rho_RPA,Z) end if !-----------------------------------! ! Solve the quasi-particle equation ! !-----------------------------------! eGW(:,:) = eHF(:,:) + SigX(:,:) + SigC(:,:) - Vxc(:,:) ! Convergence criteria Conv = maxval(abs(eGW(:,:) - eOld(:,:))) ! Print results call print_evUGW(nBas,nO,nSCF,Conv,eHF,ENuc,EUHF,SigC,Z,eGW,EcRPA,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 enddo !------------------------------------------------------------------------ ! 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,OmRPA,XpY_RPA,XmY_RPA,rho_RPA,error_diis,e_diis) ! Perform BSE calculation if(BSE) then call unrestricted_Bethe_Salpeter(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)') 'Tr@BSE@evUGW correlation energy (spin-conserved) =',EcBSE(1) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evUGW correlation energy (spin-flip) =',EcBSE(2) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evUGW correlation energy =',EcBSE(1) + EcBSE(2) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evUGW total energy =',ENuc + EUHF + EcBSE(1) + EcBSE(2) 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 GW_UACFDT(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,EcAC) write(*,*) write(*,*)'-------------------------------------------------------------------------------' write(*,'(2X,A50,F20.10)') 'AC@BSE@evUGW correlation energy (spin-conserved) =',EcAC(1) write(*,'(2X,A50,F20.10)') 'AC@BSE@evUGW correlation energy (spin-flip) =',EcAC(2) write(*,'(2X,A50,F20.10)') 'AC@BSE@evUGW correlation energy =',EcAC(1) + EcAC(2) write(*,'(2X,A50,F20.10)') 'AC@BSE@evUGW total energy =',ENuc + EUHF + EcAC(1) + EcAC(2) write(*,*)'-------------------------------------------------------------------------------' write(*,*) end if end if end subroutine evUGW