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QuAcK/src/eDFT/RMFL20_lda_exchange_potential.f90

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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
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logical :: LDA_centered = .true.
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integer :: mu,nu,iG
double precision :: Cxw
double precision :: r,vAO
! Output variables
double precision,intent(out) :: Fx(nBas,nBas)
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! Weight-dependent Cx coefficient for RMFL20 exchange functional
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if(LDA_centered) then
Cxw = CxLDA + (Cx1 - Cx0)*wEns(2)
else
Cxw = wEns(1)*Cx0 + wEns(2)*Cx1
end if
! Cxw = CxLDA + (Cx1 - Cx0)*wEns(2)*(cos(2d0*pi*wEns(2)) + 1d0)
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! 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