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quack/src/eDFT/RMFL20_lda_exchange_derivative_discontinuity.f90

51 lines
1.3 KiB
Fortran

subroutine RMFL20_lda_exchange_derivative_discontinuity(nEns,wEns,nGrid,weight,rhow,ExDD)
! Compute the restricted version of the eLDA exchange 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 :: Cx(nEns)
double precision :: dExdw(nEns)
double precision,external :: Kronecker_delta
! Output variables
double precision,intent(out) :: ExDD(nEns)
! Weight-dependent Cx coefficient for RMFL20 exchange functional
Cx(1) = -(4d0/3d0)*(1d0/pi)**(1d0/3d0)
Cx(2) = -(176d0/105d0)*(1d0/pi)**(1d0/3d0)
! Compute correlation energy for ground, singly-excited and doubly-excited states
do iEns=1,nEns
call restricted_elda_exchange_energy(nEns,Cx(iEns),nGrid,weight(:),rhow(:),dExdw(iEns))
end do
ExDD(:) = 0d0
do iEns=1,nEns
do jEns=1,nEns
ExDD(iEns) = ExDD(iEns) + (Kronecker_delta(iEns,jEns) - wEns(jEns))*(dExdw(jEns) - dExdw(1))
end do
end do
end subroutine RMFL20_lda_exchange_derivative_discontinuity