subroutine ccRG0W0(maxSCF,thresh,max_diis,nBas,nOrb,nC,nO,nV,nR,ERI,ENuc,ERHF,eHF) ! CC-based GW module implicit none include 'parameters.h' ! Input variables integer,intent(in) :: maxSCF double precision,intent(in) :: thresh integer,intent(in) :: max_diis integer,intent(in) :: nBas integer,intent(in) :: nOrb integer,intent(in) :: nC integer,intent(in) :: nO integer,intent(in) :: nV integer,intent(in) :: nR double precision,intent(in) :: ENuc double precision,intent(in) :: ERHF double precision,intent(in) :: eHF(nOrb) double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb) ! Local variables integer :: p,q,r,s integer :: i,j,k,l integer :: a,b,c,d integer :: nSCF double precision :: Conv double precision :: x double precision,allocatable :: eGW(:) double precision,allocatable :: Z(:) double precision,allocatable :: del(:,:,:) double precision,allocatable :: vec(:,:,:) double precision,allocatable :: res(:,:,:) double precision,allocatable :: amp(:,:,:) integer :: n_diis double precision :: rcond double precision,allocatable :: r_diis(:,:) double precision,allocatable :: t_diis(:,:) ! Hello world write(*,*) write(*,*)'*****************************' write(*,*)'* CC-based G0W0 Calculation *' write(*,*)'*****************************' write(*,*) ! Form energy denominator and guess amplitudes allocate(del(nO,nV,nOrb)) allocate(vec(nO,nV,nOrb)) allocate(res(nO,nV,nOrb)) allocate(amp(nO,nV,nOrb)) allocate(eGW(nOrb),Z(nOrb)) allocate(r_diis(nO*nV*nOrb,max_diis)) allocate(t_diis(nO*nV*nOrb,max_diis)) ! Initialization eGW(:) = eHF(:) Z(:) = 1d0 ! Compute energy differences do i=nC+1,nO do j=nC+1,nO do a=1,nV-nR del(i,a,j) = eHF(i) + eHF(j) - eHF(nO+a) end do end do end do do i=nC+1,nO do a=1,nV-nR do b=1,nV-nR del(i,a,nO+b) = eHF(nO+a) + eHF(nO+b) - eHF(i) end do end do end do !-------------------------! ! Main loop over orbitals ! !-------------------------! do p=nC+1,nO+1 ! Initialization Conv = 1d0 nSCF = 0 n_diis = 0 t_diis(:,:) = 0d0 r_diis(:,:) = 0d0 rcond = 0d0 amp(:,:,:) = 0d0 res(:,:,:) = 0d0 ! Compute energy differences do i=nC+1,nO do a=1,nV-nR do j=nC+1,nO vec(i,a,j) = sqrt(2d0)*ERI(p,nO+a,i,j) end do end do end do do i=nC+1,nO do a=1,nV-nR do b=1,nV-nR vec(i,a,nO+b) = sqrt(2d0)*ERI(p,i,nO+b,nO+a) end do end do end do !----------------------! ! Loop over amplitudes ! !----------------------! write(*,*) write(*,*)'-------------------------------------------------------------' write(*,*)'| CC-based G0W0 calculation |' write(*,*)'-------------------------------------------------------------' write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') & '|','#','|','HF','|','G0W0','|','Conv','|' write(*,*)'-------------------------------------------------------------' do while(Conv > thresh .and. nSCF < maxSCF) ! Increment nSCF = nSCF + 1 ! Compute residual for 2h1p sector res(:,:,:) = vec(:,:,:) + (del(:,:,:) - eGW(p))*amp(:,:,:) do i=nC+1,nO do a=1,nV-nR do j=nC+1,nO do k=nC+1,nO do c=1,nV-nR res(i,a,j) = res(i,a,j) - 2d0*ERI(j,nO+c,nO+a,k)*amp(i,c,k) end do end do end do end do end do ! Compute residual for 2p1h sector do i=nC+1,nO do a=1,nV-nR do b=1,nV-nR do k=nC+1,nO do c=1,nV-nR res(i,a,nO+b) = res(i,a,nO+b) + 2d0*ERI(nO+a,k,i,nO+c)*amp(k,c,nO+b) end do end do end do end do end do ! Check convergence Conv = maxval(abs(res)) ! Update amplitudes amp(:,:,:) = amp(:,:,:) - res(:,:,:)/(del(:,:,:) - eHF(p)) ! DIIS extrapolation if(max_diis > 1) then n_diis = min(n_diis+1,max_diis) call DIIS_extrapolation(rcond,nO*nV*nOrb,nO*nV*nOrb,n_diis,r_diis,t_diis,res,amp) end if ! Compute quasiparticle energy eGW(p) = eHF(p) do i=nC+1,nO do a=1,nV-nR do q=nC+1,nOrb-nR eGW(p) = eGW(p) + vec(i,a,q)*amp(i,a,q) end do end do end do ! Dump results write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.10,1X,A1,1X,F15.10,1X,A1,1X,F15.10,1X,A1,1X)') & '|',nSCF,'|',eHF(p)*HaToeV,'|',eGW(p)*HaToeV,'|',Conv,'|' end do write(*,*)'-------------------------------------------------------------' !------------------------------------------------------------------------ ! End of SCF loop !------------------------------------------------------------------------ ! Did it actually converge? if(nSCF == maxSCF) then write(*,*) write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*)' Convergence failed ' write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*) stop end if write(*,*)'-------------------------------------------------------------------------------' write(*,*)' CC-G0W0 calculation ' write(*,*)'-------------------------------------------------------------------------------' write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') & '|','#','|','e_HF (eV)','|','Sig_c (eV)','|','Z','|','e_QP (eV)','|' write(*,*)'-------------------------------------------------------------------------------' write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.10,1X,A1,1X,F15.10,1X,A1,1X,F15.10,1X,A1,1X,F15.10,1X,A1,1X)') & '|',p,'|',eHF(p)*HaToeV,'|',(eGW(p)-eHF(p))*HaToeV,'|',Z(p),'|',eGW(p)*HaToeV,'|' write(*,*)'-------------------------------------------------------------------------------' end do end subroutine