subroutine GW_phBSE(BSE2,TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eW,eGW,EcBSE) ! Compute the Bethe-Salpeter excitation energies implicit none include 'parameters.h' ! Input variables logical,intent(in) :: BSE2 logical,intent(in) :: TDA_W logical,intent(in) :: TDA logical,intent(in) :: dBSE logical,intent(in) :: dTDA logical,intent(in) :: singlet logical,intent(in) :: triplet double precision,intent(in) :: eta integer,intent(in) :: nBas integer,intent(in) :: nC integer,intent(in) :: nO integer,intent(in) :: nV integer,intent(in) :: nR integer,intent(in) :: nS double precision,intent(in) :: eW(nBas) double precision,intent(in) :: eGW(nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) double precision,intent(in) :: dipole_int(nBas,nBas,ncart) ! Local variables logical :: dRPA = .false. logical :: dRPA_W = .true. integer :: ispin integer :: isp_W double precision :: EcRPA double precision,allocatable :: OmRPA(:) double precision,allocatable :: XpY_RPA(:,:) double precision,allocatable :: XmY_RPA(:,:) double precision,allocatable :: rho_RPA(:,:,:) double precision,allocatable :: OmBSE(:) double precision,allocatable :: XpY_BSE(:,:) double precision,allocatable :: XmY_BSE(:,:) double precision,allocatable :: A_sta(:,:) double precision,allocatable :: B_sta(:,:) double precision,allocatable :: KA_sta(:,:) double precision,allocatable :: KB_sta(:,:) double precision,allocatable :: W(:,:,:,:) ! Output variables double precision,intent(out) :: EcBSE(nspin) ! Memory allocation allocate(OmRPA(nS),XpY_RPA(nS,nS),XmY_RPA(nS,nS),rho_RPA(nBas,nBas,nS), & A_sta(nS,nS),B_sta(nS,nS),KA_sta(nS,nS),KB_sta(nS,nS), & OmBSE(nS),XpY_BSE(nS,nS),XmY_BSE(nS,nS)) !--------------------------------- ! Compute (singlet) RPA screening !--------------------------------- isp_W = 1 EcRPA = 0d0 call phLR_A(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS,1d0,eW,ERI,A_sta) if(.not.TDA_W) call phLR_B(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS,1d0,ERI,B_sta) call phLR(TDA_W,nS,A_sta,B_sta,EcRPA,OmRPA,XpY_RPA,XmY_RPA) call GW_excitation_density(nBas,nC,nO,nR,nS,ERI,XpY_RPA,rho_RPA) call GW_phBSE_static_kernel_A(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KA_sta) call GW_phBSE_static_kernel_B(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KB_sta) !------------------- ! Singlet manifold !------------------- if(singlet) then ispin = 1 EcBSE(ispin) = 0d0 ! Compute BSE excitation energies call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI,A_sta) if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,B_sta) ! Second-order BSE static kernel if(BSE2) then allocate(W(nBas,nBas,nBas,nBas)) write(*,*) write(*,*) '*** Second-order BSE static kernel activated! ***' write(*,*) call static_kernel_W(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,W) call GW_phBSE2_static_kernel_A(eta,nBas,nC,nO,nV,nR,nS,1d0,eW,W,KA_sta) if(.not.TDA) call GW_phBSE2_static_kernel_B(eta,nBas,nC,nO,nV,nR,nS,1d0,eW,W,KB_sta) deallocate(W) end if A_sta(:,:) = A_sta(:,:) + KA_sta(:,:) if(.not.TDA) B_sta(:,:) = B_sta(:,:) + KB_sta(:,:) call phLR(TDA,nS,A_sta,B_sta,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE) call print_excitation('phBSE@GW ',ispin,nS,OmBSE) call print_transition_vectors_ph(.true.,nBas,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE) !------------------------------------------------- ! Compute the dynamical screening at the BSE level !------------------------------------------------- if(dBSE) & call GW_phBSE_dynamic_perturbation(BSE2,dTDA,eta,nBas,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, & OmBSE,XpY_BSE,XmY_BSE,KA_sta,KB_sta) end if !------------------- ! Triplet manifold !------------------- if(triplet) then ispin = 2 EcBSE(ispin) = 0d0 ! Compute BSE excitation energies call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI,A_sta) if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,B_sta) A_sta(:,:) = A_sta(:,:) + KA_sta(:,:) if(.not.TDA) B_sta(:,:) = B_sta(:,:) + KB_sta(:,:) call phLR(TDA,nS,A_sta,B_sta,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE) call print_excitation('phBSE@GW ',ispin,nS,OmBSE) call print_transition_vectors_ph(.false.,nBas,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE) !------------------------------------------------- ! Compute the dynamical screening at the BSE level !------------------------------------------------- if(dBSE) & call GW_phBSE_dynamic_perturbation(BSE2,dTDA,eta,nBas,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, & OmBSE,XpY_BSE,XmY_BSE,KA_sta,KB_sta) end if end subroutine