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quack/src/eDFT/RMFL20_lda_exchange_derivative_discontinuity.f90
2021-02-15 17:27:06 +01:00

59 lines
1.4 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
integer :: iG
double precision :: r
double precision :: dExdw(nEns)
double precision,external :: Kronecker_delta
double precision,parameter :: Cx0 = - (4d0/3d0)*(1d0/pi)**(1d0/3d0)
double precision,parameter :: Cx1 = - (176d0/105d0)*(1d0/pi)**(1d0/3d0)
! Output variables
double precision,intent(out) :: ExDD(nEns)
! Compute correlation energy for ground- and doubly-excited states
dExdw(:) = 0d0
do iG=1,nGrid
r = max(0d0,rhow(iG))
if(r > threshold) then
dExdw(1) = 0d0
dExdw(2) = dExdw(2) + weight(iG)*(Cx1 - Cx0)*r**(4d0/3d0)
end if
end do
ExDD(:) = 0d0
do iEns=1,nEns
do jEns=2,nEns
ExDD(iEns) = ExDD(iEns) + (Kronecker_delta(iEns,jEns) - wEns(jEns))*dExdw(jEns)
end do
end do
end subroutine RMFL20_lda_exchange_derivative_discontinuity