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quack/src/eDFT/RMFL20_lda_correlation_derivative_discontinuity.f90

62 lines
1.5 KiB
Fortran

subroutine RMFL20_lda_correlation_derivative_discontinuity(nEns,wEns,nGrid,weight,rhow,EcDD)
! Compute the restricted version of the eLDA correlation part of the derivative discontinuity
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nEns
double precision,intent(in) :: wEns(nEns)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid)
! Local variables
integer :: iEns,jEns
double precision,allocatable :: aMFL(:,:)
double precision :: dEcdw(nEns)
double precision,external :: Kronecker_delta
! Output variables
double precision,intent(out) :: EcDD(nEns)
! Allocation
allocate(aMFL(3,nEns))
! Parameters for weight-dependent LDA correlation functional
aMFL(1,1) = -0.0238184d0
aMFL(2,1) = +0.00540994d0
aMFL(3,1) = +0.0830766d0
aMFL(1,2) = -0.0282814d0
aMFL(2,2) = +0.00273925d0
aMFL(3,2) = +0.0664914d0
aMFL(1,3) = -0.0144633d0
aMFL(2,3) = -0.0506019d0
aMFL(3,3) = +0.0331417d0
! Compute correlation energy for ground, singly-excited and doubly-excited states
do iEns=1,nEns
call restricted_elda_correlation_energy(aMFL(1:3,iEns),nGrid,weight(:),rhow(:),dEcdw(iEns))
end do
EcDD(:) = 0d0
do iEns=1,nEns
do jEns=1,nEns
EcDD(iEns) = EcDD(iEns) + (Kronecker_delta(iEns,jEns) - wEns(jEns))*(dEcdw(jEns) - dEcdw(1))
end do
end do
end subroutine RMFL20_lda_correlation_derivative_discontinuity