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quack/src/eDFT/CC_lda_exchange_individual_energy.f90

132 lines
2.7 KiB
Fortran

subroutine CC_lda_exchange_individual_energy(nEns,wEns,nCC,aCC,nGrid,weight,rhow,rho,Cx_choice,doNcentered,LZx,Ex)
! Compute the unrestricted version of the curvature-corrected exchange functional
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nEns
double precision,intent(in) :: wEns(nEns)
integer,intent(in) :: nCC
double precision,intent(in) :: aCC(nCC,nEns-1)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid,nspin)
double precision,intent(in) :: rho(nGrid,nspin,nEns)
integer,intent(in) :: Cx_choice
logical,intent(in) :: doNcentered
! Local variables
integer :: iG,iEns,ispin
double precision :: r,rI
double precision :: e,dedr
double precision :: a1,b1,c1,d1,w1
double precision :: a2,b2,c2,d2,w2
double precision :: Fx1,Fx2,Cx
! Output variables
double precision,intent(out) :: LZx(nspin)
double precision,intent(out) :: Ex(nspin,nEns)
! Defining enhancements factor for weight-dependent functionals
if(doNcentered) then
! Parameters for first state
a1 = aCC(1,1)
b1 = aCC(2,1)
c1 = aCC(3,1)
d1 = aCC(4,1)
! Parameters for second state
a2 = aCC(1,2)
b2 = aCC(2,2)
c2 = aCC(3,2)
d2 = aCC(4,2)
w1 = wEns(2)
Fx1 = 1d0 + a1*w1 + b1*w1**2 + c1*w1**3 + d1*w1**4
w2 = wEns(3)
Fx2 = 1d0 + a2*w2 + b2*w2**2 + c2*w2**3 + d2*w2**4
else
! Parameters for first state
a1 = aCC(1,1)
b1 = aCC(2,1)
c1 = aCC(3,1)
! Parameters for second state
a2 = aCC(1,2)
b2 = aCC(2,2)
c2 = aCC(3,2)
w1 = wEns(2)
Fx1 = 1d0 - w1*(1d0 - w1)*(a1 + b1*(w1 - 0.5d0) + c1*(w1 - 0.5d0)**2)
w2 = wEns(3)
Fx2 = 1d0 - w2*(1d0 - w2)*(a2 + b2*(w2 - 0.5d0) + c2*(w2 - 0.5d0)**2)
endif
select case (Cx_choice)
case(1)
Cx = CxLSDA*Fx1
case(2)
Cx = CxLSDA*Fx2
case(3)
Cx = CxLSDA*Fx2*Fx1
case default
Cx = CxLSDA
end select
! Compute LDA exchange matrix in the AO basis
Ex(:,:) = 0d0
LZx(:) = 0d0
do ispin=1,nspin
do iG=1,nGrid
r = max(0d0,rhow(iG,ispin))
if(r > threshold) then
e = Cx*r**(+1d0/3d0)
dedr = 1d0/3d0*Cx*r**(-2d0/3d0)
LZx(ispin) = LZx(ispin) - weight(iG)*dedr*r*r
do iEns=1,nEns
rI = max(0d0,rho(iG,ispin,iEns))
if(rI > threshold) Ex(ispin,iEns) = Ex(ispin,iEns) + weight(iG)*(e+dedr*r)*rI
end do
endif
enddo
enddo
end subroutine CC_lda_exchange_individual_energy