subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e) ! CC-based GW module implicit none include 'parameters.h' ! Input variables integer,intent(in) :: maxSCF double precision,intent(in) :: thresh integer,intent(in) :: nBas 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) :: e(nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) ! Local variables integer :: p,q integer :: i,j,k,l integer :: a,b,c,d integer :: nSCF double precision :: Conv double precision,allocatable :: eO(:) double precision,allocatable :: eV(:) double precision,allocatable :: OVVO(:,:,:,:) double precision,allocatable :: VOOV(:,:,:,:) double precision,allocatable :: delta_2h1p(:,:,:,:) double precision,allocatable :: delta_2p1h(:,:,:,:) double precision,allocatable :: V_2h1p(:,:,:,:) double precision,allocatable :: V_2p1h(:,:,:,:) double precision,allocatable :: r_2h1p(:,:,:,:) double precision,allocatable :: r_2p1h(:,:,:,:) double precision,allocatable :: t_2h1p(:,:,:,:) double precision,allocatable :: t_2p1h(:,:,:,:) double precision,allocatable :: x_2h1p(:,:) double precision,allocatable :: x_2p1h(:,:) double precision,allocatable :: eGW(:) double precision,allocatable :: SigGW(:,:) double precision,allocatable :: cGW(:,:) double precision,allocatable :: Z(:) integer,allocatable :: order(:) ! Hello world write(*,*) write(*,*)'*****************************' write(*,*)'| CCGW calculation |' write(*,*)'*****************************' write(*,*) ! Create integral batches allocate(OVVO(nO,nV,nV,nO),VOOV(nV,nO,nO,nV)) OVVO(:,:,:,:) = ERI( 1:nO ,nO+1:nBas,nO+1:nBas, 1:nO ) VOOV(:,:,:,:) = ERI(nO+1:nBas , 1:nO , 1:nO ,nO+1:nBas) ! Form energy denominator and guess amplitudes allocate(eO(nO),eV(nV)) allocate(delta_2h1p(nO,nO,nV,nBas),delta_2p1h(nO,nV,nV,nBas)) allocate(V_2h1p(nBas,nO,nO,nV),V_2p1h(nBas,nO,nV,nV)) allocate(t_2h1p(nO,nO,nV,nBas),t_2p1h(nO,nV,nV,nBas)) allocate(x_2h1p(nBas,nBas),x_2p1h(nBas,nBas)) eO(:) = e(1:nO) eV(:) = e(nO+1:nBas) do i=nC+1,nO do j=nC+1,nO do a=1,nV-nR do p=nC+1,nBas-nR delta_2h1p(i,j,a,p) = eO(i) + eO(j) - eV(a) - e(p) V_2h1p(p,i,j,a) = sqrt(2d0)*ERI(p,nO+a,i,j) end do end do end do end do do i=nC+1,nO do a=1,nV-nR do b=1,nV-nR do p=nC+1,nBas-nR delta_2p1h(i,a,b,p) = eV(a) + eV(b) - eO(i) - e(p) V_2p1h(p,i,a,b) = sqrt(2d0)*ERI(p,i,nO+b,nO+a) end do end do end do end do ! Initialization allocate(r_2h1p(nO,nO,nV,nBas),r_2p1h(nO,nV,nV,nBas)) allocate(eGW(nBas),SigGW(nBas,nBas),cGW(nBas,nBas),Z(nBas)) allocate(order(nBas)) Conv = 1d0 nSCF = 0 t_2h1p(:,:,:,:) = 0d0 t_2p1h(:,:,:,:) = 0d0 !------------------------------------------------------------------------ ! Main SCF loop !------------------------------------------------------------------------ write(*,*) write(*,*)'----------------------------------------------' write(*,*)'| CCGW calculation |' write(*,*)'----------------------------------------------' write(*,'(1X,A1,1X,A3,1X,A1,1X,A10,1X,A1,1X,A10,1X,A1,1X,A10,1X,A1,1X)') & '|','#','|','HOMO','|','LUMO','|','Conv','|' write(*,*)'----------------------------------------------' do while(Conv > thresh .and. nSCF < maxSCF) ! Increment nSCF = nSCF + 1 ! Compute intermediates x_2h1p(:,:) = 0d0 do p=nC+1,nBas-nR do q=nC+1,nBas-nR do k=nC+1,nO do l=nC+1,nO do c=1,nV-nR x_2h1p(p,q) = x_2h1p(p,q) + V_2h1p(q,k,l,c)*t_2h1p(k,l,c,p) end do end do end do end do end do x_2p1h(:,:) = 0d0 do p=nC+1,nBas-nR do q=nC+1,nBas-nR do k=nC+1,nO do c=1,nV-nR do d=1,nV-nR x_2p1h(p,q) = x_2p1h(p,q) + V_2p1h(q,k,c,d)*t_2p1h(k,c,d,p) end do end do end do end do end do ! Compute residual for 2h1p sector do i=nC+1,nO do j=nC+1,nO do a=1,nV-nR do p=nC+1,nBas-nR r_2h1p(i,j,a,p) = V_2h1p(p,i,j,a) + delta_2h1p(i,j,a,p)*t_2h1p(i,j,a,p) do k=nC+1,nO do c=1,nV-nR r_2h1p(i,j,a,p) = r_2h1p(i,j,a,p) - 2d0*OVVO(j,c,a,k)*t_2h1p(i,k,c,p) end do end do do q=nC+1,nBas-nR r_2h1p(i,j,a,p) = r_2h1p(i,j,a,p) - t_2h1p(i,j,a,q)*x_2h1p(p,q) - t_2h1p(i,j,a,q)*x_2p1h(p,q) 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 p=nC+1,nBas-nR r_2p1h(i,a,b,p) = V_2p1h(p,i,a,b) + delta_2p1h(i,a,b,p)*t_2p1h(i,a,b,p) do k=nC+1,nO do c=1,nV-nR r_2p1h(i,a,b,p) = r_2p1h(i,a,b,p) + 2d0*VOOV(a,k,i,c)*t_2p1h(k,c,b,p) end do end do do q=nC+1,nBas-nR r_2p1h(i,a,b,p) = r_2p1h(i,a,b,p) - t_2p1h(i,a,b,q)*x_2h1p(p,q) - t_2p1h(i,a,b,q)*x_2p1h(p,q) end do end do end do end do end do ! Check convergence Conv = max(maxval(abs(r_2h1p)),maxval(abs(r_2p1h))) ! Update amplitudes t_2h1p(:,:,:,:) = t_2h1p(:,:,:,:) - r_2h1p(:,:,:,:)/delta_2h1p(:,:,:,:) t_2p1h(:,:,:,:) = t_2p1h(:,:,:,:) - r_2p1h(:,:,:,:)/delta_2p1h(:,:,:,:) ! Compute correlation energy SigGW(:,:) = 0d0 do p=nC+1,nBas-nR SigGW(p,p) = SigGW(p,p) + e(p) do q=nC+1,nBas-nR do i=nC+1,nO do j=nC+1,nO do a=1,nV-nR SigGW(p,q) = SigGW(p,q) + V_2h1p(p,i,j,a)*t_2h1p(i,j,a,q) end do end do end do do i=nC+1,nO do a=1,nV-nR do b=1,nV-nR SigGW(p,q) = SigGW(p,q) + V_2p1h(p,i,a,b)*t_2p1h(i,a,b,q) end do end do end do end do end do call diagonalize_general_matrix(nBas,SigGW,eGW,cGW) do p=1,nBas order(p) = p end do call quick_sort(eGW,order,nBas) call set_order(cGW,order,nBas,nBas) ! Renormalization factor Z(:) = 1d0 ! Dump results write(*,'(1X,A1,1X,I3,1X,A1,1X,F10.6,1X,A1,1X,F10.6,1X,A1,1X,F10.6,1X,A1,1X)') & '|',nSCF,'|',eGW(nO)*HaToeV,'|',eGW(nO+1)*HaToeV,'|',Conv,'|' enddo write(*,*)'----------------------------------------------' !------------------------------------------------------------------------ ! End of SCF loop !------------------------------------------------------------------------ ! Did it actually converge? if(nSCF == maxSCF) then write(*,*) write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*)' Convergence failed ' write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!' write(*,*) stop endif write(*,*)'-------------------------------------------------------------------------------' write(*,*)' CCGW 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(*,*)'-------------------------------------------------------------------------------' do p=1,nBas write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') & '|',p,'|',e(p)*HaToeV,'|',(eGW(p)-e(p))*HaToeV,'|',Z(p),'|',eGW(p)*HaToeV,'|' enddo write(*,*)'-------------------------------------------------------------------------------' end subroutine CCGW