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quack/src/eDFT/RGIC_lda_exchange_derivative_discontinuity.f90

92 lines
1.9 KiB
Fortran

subroutine RGIC_lda_exchange_derivative_discontinuity(nEns,wEns,nGrid,weight,rhow,ExDD)
! Compute the restricted version of the GIC exchange individual energy
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,allocatable :: dExdw(:)
double precision,external :: Kronecker_delta
double precision :: a,b,c,w
double precision :: dCxGICdw
! Output variables
double precision,intent(out) :: ExDD(nEns)
! Memory allocation
allocate(dExdw(nEns))
! Compute correlation energy for ground- and doubly-excited states
! Parameters for H2 at equilibrium
! a = + 0.5751782560799208d0
! b = - 0.021108186591137282d0
! c = - 0.36718902716347124d0
! Parameters for stretch H2
! a = + 0.01922622507087411d0
! b = - 0.01799647558018601d0
! c = - 0.022945430666782573d0
! Parameters for He
! a = 1.9125735895875828d0
! b = 2.715266992840757d0
! c = 2.1634223380633086d0
! Parameters for HNO
a = 0.0061158387543040335d0
b = -0.00005968703047293955d0
c = -0.00001692245714408755d0
w = wEns(2)
dCxGICdw = (0.5d0*b + (2d0*a + 0.5d0*c)*(w - 0.5d0) - (1d0 - w)*w*(3d0*b + 4d0*c*(w - 0.5d0)))
dCxGICdw = CxLDA*dCxGICdw
dExdw(:) = 0d0
do iG=1,nGrid
r = max(0d0,rhow(iG))
if(r > threshold) then
dExdw(1) = 0d0
dExdw(2) = dExdw(2) + weight(iG)*dCxGICdw*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 RGIC_lda_exchange_derivative_discontinuity