quack/src/HF/MOM.f90

196 lines
4.7 KiB
Fortran

subroutine MOM(maxSCF,thresh,max_diis,nBas,nO,S,T,V,Hc,ERI,X,ENuc,ERHF,c,e,P)
! Maximum overlap method
implicit none
! Input variables
integer,intent(in) :: maxSCF,max_diis
double precision,intent(in) :: thresh
integer,intent(in) :: nBas,nO
double precision,intent(in) :: ENuc
double precision,intent(in) :: S(nBas,nBas),T(nBas,nBas),V(nBas,nBas),Hc(nBas,nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas),X(nBas,nBas)
! Local variables
integer :: iBas,jBas
integer :: nSCF,nBasSq,n_diis
double precision :: ET,EV,EJ,EK,Conv,Gap
double precision :: rcond
double precision,external :: trace_matrix
double precision,allocatable :: error(:,:),error_diis(:,:),F_diis(:,:)
double precision,allocatable :: J(:,:),K(:,:),cp(:,:),F(:,:),Fp(:,:)
double precision,allocatable :: cG(:,:),ON(:)
! Output variables
double precision,intent(inout):: ERHF,c(nBas,nBas),e(nBas),P(nBas,nBas)
! Hello world
write(*,*)
write(*,*)'************************************************'
write(*,*)'| Maximum overlap method |'
write(*,*)'************************************************'
write(*,*)
! Useful quantities
nBasSq = nBas*nBas
! Memory allocation
allocate(J(nBas,nBas),K(nBas,nBas),error(nBas,nBas), &
cp(nBas,nBas),Fp(nBas,nBas),F(nBas,nBas), &
cG(nBas,nBas),ON(nBas), &
error_diis(nBasSq,max_diis),F_diis(nBasSq,max_diis))
! Set up guess orbitals
cG(:,:) = c(:,:)
! Set up occupation numbers
ON(1:nO) = 1d0
ON(nO+1:nBas) = 0d0
! HOMO-LUMO transition
ON(nO) = 0d0
ON(nO+1) = 1d0
write(*,*)
write(*,*) ' --- Initial MO occupations --- '
write(*,*)
call matout(nBas,1,ON)
write(*,*)
! Compute density matrix
call density_matrix(nBas,ON,c,P)
! Initialization
n_diis = 0
F_diis(:,:) = 0d0
error_diis(:,:) = 0d0
Conv = 1d0
nSCF = 0
!------------------------------------------------------------------------
! Main SCF loop
!------------------------------------------------------------------------
write(*,*)
write(*,*)'----------------------------------------------------'
write(*,*)'| MOM calculation |'
write(*,*)'----------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A16,1X,A1,1X,A10,1X,A1,1X,A10,1X,A1,1X)') &
'|','#','|','HF energy','|','Conv','|','HL Gap','|'
write(*,*)'----------------------------------------------------'
do while(Conv > thresh .and. nSCF < maxSCF)
! Increment
nSCF = nSCF + 1
! Build Fock matrix
call Coulomb_matrix_AO_basis(nBas,P,ERI,J)
call exchange_matrix_AO_basis(nBas,P,ERI,K)
F(:,:) = Hc(:,:) + J(:,:) + 0.5*K(:,:)
! Check convergence
error = matmul(F,matmul(P,S)) - matmul(matmul(S,P),F)
Conv = maxval(abs(error))
! DIIS extrapolation
n_diis = min(n_diis+1,max_diis)
call DIIS_extrapolation(rcond,nBasSq,nBasSq,n_diis,error_diis,F_diis,error,F)
! Reset DIIS if required
if(abs(rcond) < 1d-15) n_diis = 0
! Diagonalize Fock matrix
Fp = matmul(transpose(X),matmul(F,X))
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,e)
c = matmul(X,cp)
! MOM overlap
call MOM_overlap(nBas,nO,S,cG,c,ON)
! Density matrix
call density_matrix(nBas,ON,c,P)
! Compute HF energy
ERHF = trace_matrix(nBas,matmul(P,Hc)) &
+ 0.5d0*trace_matrix(nBas,matmul(P,J)) &
+ 0.5d0*trace_matrix(nBas,matmul(P,K))
! Compute HOMO-LUMO gap
if(nBas > nO) then
Gap = e(nO+1) - e(nO)
else
Gap = 0d0
endif
! Dump results
write(*,'(1X,A1,1X,I3,1X,A1,1X,F16.10,1X,A1,1X,F10.6,1X,A1,1X,F10.6,1X,A1,1X)') &
'|',nSCF,'|',ERHF+ENuc,'|',Conv,'|',Gap,'|'
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(*,*) ' --- Final MO occupations --- '
write(*,*)
call matout(nBas,1,ON)
write(*,*)
! Compute HF energy
ET = trace_matrix(nBas,matmul(P,T))
EV = trace_matrix(nBas,matmul(P,V))
EJ = 0.5d0*trace_matrix(nBas,matmul(P,J))
EK = 0.5d0*trace_matrix(nBas,matmul(P,K))
ERHF = ET + EV + EJ + EK
call print_RHF(nBas,nO,e,c,ENuc,ET,EV,EJ,EK,ERHF)
end subroutine MOM