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quack/src/eDFT/RMFL20_lda_exchange_derivative_discontinuity.f90

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2020-03-17 11:29:29 +01:00
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 :: iG
double precision :: Cx0
double precision :: Cx1
double precision :: rw
double precision :: dExdw
! Output variables
double precision,intent(out) :: ExDD(nEns)
! Weight-dependent Cx coefficient for RMFL20 exchange functional
Cx0 = -(4d0/3d0)*(1d0/pi)**(1d0/3d0)
Cx1 = -(176d0/105d0)*(1d0/pi)**(1d0/3d0)
! Compute correlation energy for ground, singly-excited and doubly-excited states
dExdw = 0d0
do iG=1,nGrid
rw = max(0d0,rhow(iG))
if(rw > threshold) then
dExdw = dExdw + weight(iG)*(Cx1 - Cx0)*rw**(4d0/3d0)
end if
end do
ExDD(1) = - wEns(2) *dExdw
ExDD(2) = (1d0 - wEns(2))*dExdw
end subroutine RMFL20_lda_exchange_derivative_discontinuity