subroutine evGW(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,COHSEX,SOSEX,BSE,TDA_W,TDA,dBSE,dTDA,evDyn,G0W,GW0, & singlet_manifold,triplet_manifold,eta,nBas,nC,nO,nV,nR,nS,ENuc,ERHF,Hc,H,ERI,PHF,cHF,eHF,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) :: ERHF logical,intent(in) :: doACFDT logical,intent(in) :: exchange_kernel logical,intent(in) :: doXBS logical,intent(in) :: COHSEX logical,intent(in) :: SOSEX logical,intent(in) :: BSE logical,intent(in) :: TDA_W logical,intent(in) :: TDA logical,intent(in) :: dBSE logical,intent(in) :: dTDA logical,intent(in) :: evDyn logical,intent(in) :: G0W logical,intent(in) :: GW0 logical,intent(in) :: singlet_manifold logical,intent(in) :: triplet_manifold double precision,intent(in) :: eta integer,intent(in) :: nBas,nC,nO,nV,nR,nS double precision,intent(in) :: eHF(nBas) double precision,intent(in) :: cHF(nBas,nBas) double precision,intent(in) :: PHF(nBas,nBas) double precision,intent(in) :: eG0W0(nBas) double precision,intent(in) :: Hc(nBas,nBas) double precision,intent(in) :: H(nBas,nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) ! Local variables logical :: linear_mixing integer :: ispin integer :: nSCF integer :: n_diis double precision :: rcond double precision :: Conv double precision :: EcRPA(nspin) double precision :: EcBSE(nspin) double precision :: EcAC(nspin) double precision :: EcGM 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(:) double precision,allocatable :: SigC(:) double precision,allocatable :: Omega(:,:) double precision,allocatable :: XpY(:,:,:) double precision,allocatable :: XmY(:,:,:) double precision,allocatable :: rho(:,:,:,:) double precision,allocatable :: rhox(:,:,:,:) ! Hello world write(*,*) write(*,*)'************************************************' write(*,*)'| Self-consistent evGW calculation |' write(*,*)'************************************************' write(*,*) ! SOSEX correction if(SOSEX) write(*,*) 'SOSEX correction activated!' write(*,*) ! COHSEX approximation if(COHSEX) write(*,*) 'COHSEX approximation activated!' write(*,*) ! TDA for W if(TDA_W) write(*,*) 'Tamm-Dancoff approximation for dynamic screening!' write(*,*) ! TDA if(TDA) write(*,*) 'Tamm-Dancoff approximation activated!' write(*,*) ! Linear mixing linear_mixing = .false. alpha = 0.2d0 ! Memory allocation allocate(eGW(nBas),eOld(nBas),Z(nBas),SigC(nBas),Omega(nS,nspin), & XpY(nS,nS,nspin),XmY(nS,nS,nspin), & rho(nBas,nBas,nS,nspin),rhox(nBas,nBas,nS,nspin), & error_diis(nBas,max_diis),e_diis(nBas,max_diis)) ! Initialization nSCF = 0 ispin = 1 n_diis = 0 Conv = 1d0 e_diis(:,:) = 0d0 error_diis(:,:) = 0d0 eGW(:) = eG0W0(:) eOld(:) = eGW(:) Z(:) = 1d0 !------------------------------------------------------------------------ ! Main loop !------------------------------------------------------------------------ do while(Conv > thresh .and. nSCF <= maxSCF) ! Compute linear response if(.not. GW0 .or. nSCF == 0) then call linear_response(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI, & rho(:,:,:,ispin),EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin)) endif ! Compute correlation part of the self-energy call excitation_density(nBas,nC,nO,nR,nS,ERI,XpY(:,:,ispin),rho(:,:,:,ispin)) if(SOSEX) call excitation_density_SOSEX(nBas,nC,nO,nR,nS,ERI,XpY(:,:,ispin),rhox(:,:,:,ispin)) ! Correlation self-energy if(G0W) then call self_energy_correlation_diag(COHSEX,SOSEX,eta,nBas,nC,nO,nV,nR,nS,eHF, & Omega(:,ispin),rho(:,:,:,ispin),rhox(:,:,:,ispin),EcGM,SigC) call renormalization_factor(COHSEX,SOSEX,eta,nBas,nC,nO,nV,nR,nS,eHF, & Omega(:,ispin),rho(:,:,:,ispin),rhox(:,:,:,ispin),Z(:)) else call self_energy_correlation_diag(COHSEX,SOSEX,eta,nBas,nC,nO,nV,nR,nS,eGW, & Omega(:,ispin),rho(:,:,:,ispin),rhox(:,:,:,ispin),EcGM,SigC) call renormalization_factor(COHSEX,SOSEX,eta,nBas,nC,nO,nV,nR,nS,eGW, & Omega(:,ispin),rho(:,:,:,ispin),rhox(:,:,:,ispin),Z(:)) endif ! Solve the quasi-particle equation eGW(:) = eHF(:) + SigC(:) ! Convergence criteria Conv = maxval(abs(eGW - eOld)) ! Print results ! call print_excitation('RPA ',ispin,nS,Omega(:,ispin)) call print_evGW(nBas,nO,nSCF,Conv,eHF,ENuc,ERHF,SigC,Z,eGW) ! Linear mixing or DIIS extrapolation if(linear_mixing) then eGW(:) = alpha*eGW(:) + (1d0 - alpha)*eOld(:) else n_diis = min(n_diis+1,max_diis) call DIIS_extrapolation(rcond,nBas,nBas,n_diis,error_diis,e_diis,eGW-eOld,eGW) ! Reset DIIS if required if(abs(rcond) < 1d-15) n_diis = 0 endif ! Save quasiparticles energy for next cycle eOld(:) = eGW(:) ! Increment nSCF = nSCF + 1 enddo !------------------------------------------------------------------------ ! End main loop !------------------------------------------------------------------------ ! Plot stuff ! call plot_GW(nBas,nC,nO,nV,nR,nS,eHF,eGW,Omega(:,ispin),rho(:,:,:,ispin),rhox(:,:,:,ispin)) ! Did it actually converge? if(nSCF == maxSCF+1) then write(*,*) write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*)' Convergence failed ' write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*) stop endif ! Dump the RPA correlation energy write(*,*) write(*,*)'-------------------------------------------------------------------------------' write(*,'(2X,A50,F20.10)') 'Tr@RPA@evGW correlation energy (singlet) =',EcRPA(1) write(*,'(2X,A50,F20.10)') 'Tr@RPA@evGW correlation energy (triplet) =',EcRPA(2) write(*,'(2X,A50,F20.10)') 'Tr@RPA@evGW correlation energy =',EcRPA(1) + EcRPA(2) write(*,'(2X,A50,F20.10)') 'Tr@RPA@evGW total energy =',ENuc + ERHF + EcRPA(1) + EcRPA(2) write(*,*)'-------------------------------------------------------------------------------' write(*,*) ! Perform BSE calculation if(BSE) then call Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,singlet_manifold,triplet_manifold,eta, & nBas,nC,nO,nV,nR,nS,ERI,eGW,eGW,Omega,XpY,XmY,rho,EcRPA,EcBSE) write(*,*) write(*,*)'-------------------------------------------------------------------------------' write(*,'(2X,A50,F20.10)') 'Tr@BSE@evGW correlation energy (singlet) =',EcBSE(1) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evGW correlation energy (triplet) =',EcBSE(2) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evGW correlation energy =',EcBSE(1) + EcBSE(2) write(*,'(2X,A50,F20.10)') 'Tr@BSE@evGW total energy =',ENuc + ERHF + 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 correlation energy' write(*,*) '------------------------------------------------------' write(*,*) if(doXBS) then write(*,*) '*** scaled screening version (XBS) ***' write(*,*) end if call ACFDT(exchange_kernel,doXBS,.true.,TDA_W,TDA,BSE,singlet_manifold,triplet_manifold,eta, & nBas,nC,nO,nV,nR,nS,ERI,eGW,eGW,Omega,XpY,XmY,rho,EcAC) write(*,*) write(*,*)'-------------------------------------------------------------------------------' write(*,'(2X,A50,F20.10)') 'AC@BSE@evGW correlation energy (singlet) =',EcAC(1) write(*,'(2X,A50,F20.10)') 'AC@BSE@evGW correlation energy (triplet) =',EcAC(2) write(*,'(2X,A50,F20.10)') 'AC@BSE@evGW correlation energy =',EcAC(1) + EcAC(2) write(*,'(2X,A50,F20.10)') 'AC@BSE@evGW total energy =',ENuc + ERHF + EcAC(1) + EcAC(2) write(*,*)'-------------------------------------------------------------------------------' write(*,*) end if endif end subroutine evGW