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quack/src/eDFT/elda_correlation_Levy_Zahariev_shift.f90

63 lines
1.6 KiB
Fortran

subroutine elda_correlation_Levy_Zahariev_shift(nEns,aLF,nGrid,weight,rho,EcLZ)
! Compute Levy-Zahariev LDA correlation shift of 2-glomium for various states
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nEns
double precision,intent(in) :: aLF(nEns)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rho(nGrid,nspin)
! Local variables
integer :: iG
double precision :: ra,rb,r,ec_p
double precision :: dFcdra,dFcdrb
! Output variables
double precision,intent(out) :: EcLZ
! Compute Levy-Zahariev eLDA correlation shift
EcLZ = 0d0
do iG=1,nGrid
ra = max(0d0,rho(iG,1))
rb = max(0d0,rho(iG,2))
r = ra + rb
if(ra > threshold) then
ec_p = aLF(1)/(1d0 + aLF(2)*r**(-1d0/6d0) + aLF(3)*r**(-1d0/3d0))
dFcdra = aLF(2)*r**(-1d0/6d0) + 2d0*aLF(3)*r**(-1d0/3d0)
dFcdra = dFcdra/(1d0 + aLF(2)*r**(-1d0/6d0) + aLF(3)*r**(-1d0/3d0))
dFcdra = ec_p*dFcdra/6d0
dFcdra = ec_p + dFcdra
EcLZ = EcLZ - weight(iG)*r*r*dFcdra
end if
if(rb > threshold) then
ec_p = aLF(1)/(1d0 + aLF(2)*r**(-1d0/6d0) + aLF(3)*r**(-1d0/3d0))
dFcdrb = aLF(2)*r**(-1d0/6d0) + 2d0*aLF(3)*r**(-1d0/3d0)
dFcdrb = dFcdrb/(1d0 + aLF(2)*r**(-1d0/6d0) + aLF(3)*r**(-1d0/3d0))
dFcdrb = ec_p*dFcdrb/6d0
dFcdrb = ec_p + dFcdrb
EcLZ = EcLZ - weight(iG)*r*r*dFcdrb
end if
end do
end subroutine elda_correlation_Levy_Zahariev_shift