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quack/src/eDFT/RMFL20_lda_exchange_potential.f90

60 lines
1.4 KiB
Fortran

subroutine RMFL20_lda_exchange_potential(nEns,wEns,nGrid,weight,nBas,AO,rho,Fx)
! Compute the restricted version of the weight-dependent MFL20 exchange potential
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)
integer,intent(in) :: nBas
double precision,intent(in) :: AO(nBas,nGrid)
double precision,intent(in) :: rho(nGrid)
! Local variables
integer :: mu,nu,iG
double precision :: Cx0
double precision :: Cx1
double precision :: CxLDA
double precision :: Cxw
double precision :: r,vAO
! Output variables
double precision,intent(out) :: Fx(nBas,nBas)
! Cx coefficient for Slater LDA exchange
Cx0 = -(4d0/3d0)*(1d0/pi)**(1d0/3d0)
Cx1 = -(176d0/105d0)*(1d0/pi)**(1d0/3d0)
CxLDA = -(3d0/4d0)*(3d0/pi)**(1d0/3d0)
Cxw = CxLDA + wEns(1)*(Cx1 - Cx0)
! Compute LDA exchange matrix in the AO basis
Fx(:,:) = 0d0
do mu=1,nBas
do nu=1,nBas
do iG=1,nGrid
r = max(0d0,rho(iG))
if(r > threshold) then
vAO = weight(iG)*AO(mu,iG)*AO(nu,iG)
Fx(mu,nu) = Fx(mu,nu) + vAO*4d0/3d0*Cxw*r**(1d0/3d0)
endif
enddo
enddo
enddo
end subroutine RMFL20_lda_exchange_potential