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fleur
fleur
Commit d8d31434 authored by Matthias Redies's avatar Matthias Redies
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parent 0e447815
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Showing with 64 additions and 65 deletions
xc-pot/CMakeLists.txt
View file @ d8d31434
......@@ -8,10 +8,10 @@ xc-pot/corg91.f90
xc-pot/corl91.f90
xc-pot/corpbe.f90
xc-pot/excepbe.f90
xc-pot/exchpbe.f90
)
set(fleur_F77 ${fleur_F77}
xc-pot/exchpbe.F
xc-pot/excl91.f
xc-pot/excpw91.f
xc-pot/excwb91.f
......@@ -36,10 +36,10 @@ xc-pot/corg91.f90
xc-pot/corl91.f90
xc-pot/corpbe.f90
xc-pot/excepbe.f90
xc-pot/exchpbe.f90
)
set(inpgen_F77 ${inpgen_F77}
xc-pot/exchpbe.F
xc-pot/excl91.f
xc-pot/excpw91.f
xc-pot/excwb91.f
......
xc-pot/exchpbe.F → xc-pot/exchpbe.f90
View file @ d8d31434
MODULE m_exchpbe
c----------------------------------------------------------------------
c pbe exchange for a spin-unpolarized electronic system
c k burke's modification of pw91 codes, may 14, 1996
c modified again by k. burke, june 29, 1996, with simpler fx(s)
c inclusion of HSE function by M. Schlipf 2009
c----------------------------------------------------------------------
c references:
c [a]j.p.~perdew, k.~burke, and m.~ernzerhof, submiited to prl, may96
c [b]j.p. perdew and y. wang, phys. rev. b {\bf 33}, 8800 (1986);
c {\bf 40}, 3399 (1989) (e).
c [c] B.~Hammer, L.~B.~Hansen and J.~K.~Norskov PRB 59 7413 (1999)
c [d] J.~Heyd, G.~E.~Scuseria, M.~Ernzerhof, J. Chem. Phys. {\bf 118},
c 8207 (2003)
c----------------------------------------------------------------------
CONTAINS
SUBROUTINE exchpbe(xcpot,rho,s,u,v,lgga,lpot,
< ex,vx,vx_sr)
MODULE m_exchpbe
!----------------------------------------------------------------------
! pbe exchange for a spin-unpolarized electronic system
! k burke's modification of pw91 codes, may 14, 1996
! modified again by k. burke, june 29, 1996, with simpler fx(s)
! inclusion of HSE function by M. Schlipf 2009
!----------------------------------------------------------------------
! references:
! [a]j.p.~perdew, k.~burke, and m.~ernzerhof, submiited to prl, may96
! [b]j.p. perdew and y. wang, phys. rev. b {\bf 33}, 8800 (1986);
! {\bf 40}, 3399 (1989) (e).
! [c] B.~Hammer, L.~B.~Hansen and J.~K.~Norskov PRB 59 7413 (1999)
! [d] J.~Heyd, G.~E.~Scuseria, M.~Ernzerhof, J. Chem. Phys. {\bf 118},
! 8207 (2003)
!----------------------------------------------------------------------
CONTAINS
SUBROUTINE exchpbe(xcpot,rho,s,u,v,lgga,lpot, &
ex,vx,vx_sr)
! USE m_hsefunctional, ONLY: calculateEnhancementFactor
USE m_constants, ONLY: pi_const
USE m_types_xcpot_data
......@@ -46,9 +46,9 @@ c----------------------------------------------------------------------
REAL, PARAMETER :: thrd4=4.e0/3.e0
REAL, PARAMETER :: ax=-0.738558766382022405884230032680836e0 ! -0.75*(3/pi)^(1/3)
c----------------------------------------------------------------------
c uk, ul defined after [a](13) (for icorr==7)
c----------------------------------------------------------------------
!----------------------------------------------------------------------
! uk, ul defined after [a](13) (for icorr==7)
!----------------------------------------------------------------------
! IF (xcpot%is_name("pbe").OR.xcpot%is_name("wc").OR.
! + xcpot%is_name("PBEs")) THEN
! uk=0.8040
......@@ -68,25 +68,24 @@ c----------------------------------------------------------------------
! um=0.2195149727645171e0
! ENDIF
ul=xcpot%um/xcpot%uk
c----------------------------------------------------------------------
c construct lda exchange energy density:
! e_x[unif] = -0.75 * (3/pi)^(1/3) * rho^(4/3)
c----------------------------------------------------------------------
!----------------------------------------------------------------------
! construct lda exchange energy density:
! e_x[unif] = -0.75 * (3/pi)^(1/3) * rho^(4/3)
!----------------------------------------------------------------------
exunif = ax*rho**thrd
IF (lgga.EQ.0) THEN
IF (lgga == 0) THEN
ex = exunif
vx = ex*thrd4
RETURN
ENDIF
c----------------------------------------------------------------------
c construct pbe enhancement factor
c e_x[pbe]=e_x[unif]*fxpbe(s)
c fxpbe(s)=1+xcpot%uk-xcpot%uk/(1+ul*s*s) [a](13)
c----------------------------------------------------------------------
!----------------------------------------------------------------------
! construct pbe enhancement factor
! e_x[pbe]=e_x[unif]*fxpbe(s)
! fxpbe(s)=1+xcpot%uk-xcpot%uk/(1+ul*s*s) [a](13)
!----------------------------------------------------------------------
s2 = s*s
! calculate fxpbe
p0 = 1.e0 + ul*s2
fxpbe = 1e0 + xcpot%uk - xcpot%uk/p0
......@@ -99,30 +98,30 @@ c----------------------------------------------------------------------
p0 = 1.e0 + xwu/xcpot%uk
fxpbe = 1e0 + xcpot%uk - xcpot%uk/p0
ENDIF
c -gu
! -gu
! Mixing of short and long range components
IF (xcpot%is_hse) THEN
! ex = (1-a)ex,SR + ex,LR
! = (1-a)ex,SR + (ex,PBE - ex,SR)
! = (fxpbe - a*fxhse)*exunif
! Calculate the enhancement factor fxhse and its derivatives
! as integral over the exchange hole (cf. [d])
! ex = (1-a)ex,SR + ex,LR
! = (1-a)ex,SR + (ex,PBE - ex,SR)
! = (fxpbe - a*fxhse)*exunif
! Calculate the enhancement factor fxhse and its derivatives
! as integral over the exchange hole (cf. [d])
kF = (3.0 * pi_const**2 * rho)**thrd
CALL judft_error("HSE not implemented",calledby="exchpbe")
!This creates a depency loop
! CALL calculateEnhancementFactor(kF, s, fxhse, dFx_ds, d2Fx_ds2,
! & dFx_dkF, d2Fx_dsdkF)
! his creates a depency loop
! CALL calculateEnhancementFactor(kF, s, fxhse, dFx_ds, d2Fx_ds2,
! & dFx_dkF, d2Fx_dsdkF)
ex = exunif * (fxpbe - xcpot%exchange_weight * fxhse )
ELSE
ex = exunif*fxpbe
END IF
IF (lpot.EQ.0) RETURN
c----------------------------------------------------------------------
c energy done. now the potential:
c find first and second derivatives of fx w.r.t s.
c fs=(1/s)*d fxpbe/ ds
c fss=d fs/ds
c----------------------------------------------------------------------
IF (lpot == 0) RETURN
!----------------------------------------------------------------------
! energy done. now the potential:
! find first and second derivatives of fx w.r.t s.
! fs=(1/s)*d fxpbe/ ds
! fss=d fs/ds
!----------------------------------------------------------------------
! derivatives for the pbe part
fs = 2.e0*xcpot%uk*ul/ (p0*p0)
fss = -4.e0*ul*s*fs/p0
......@@ -132,27 +131,27 @@ c----------------------------------------------------------------------
ELSEIF (xcpot%is_wc) THEN
dxwu = 2*teo + 2*(xcpot%um-teo)*exp(-s2)*(1-s2) + 4*cwu*s2/css
fs = dxwu / (p0*p0)
ddx = 4*s*((xcpot%um-teo)*exp(-s2)*(s2-2)+2*cwu*
& (1-cwu*s2*s2)/css**2)
ddx = 4*s*((xcpot%um-teo)*exp(-s2)*(s2-2)+2*cwu* &
(1-cwu*s2*s2)/css**2)
fss = ( ddx - 2*s*dxwu*dxwu/(p0*xcpot%uk) ) / (p0*p0)
ENDIF
c -gu
c----------------------------------------------------------------------
c calculate potential from [b](24)
c----------------------------------------------------------------------
! -gu
!----------------------------------------------------------------------
! calculate potential from [b](24)
!----------------------------------------------------------------------
vx = exunif* (thrd4*fxpbe- (u-thrd4*s2*s)*fss-v*fs)
IF (.not.(xcpot%is_hse)) RETURN
IF ( .NOT. (xcpot%is_hse)) RETURN
c----------------------------------------------------------------------
c short ranged potential (HSE functional)
c----------------------------------------------------------------------
!----------------------------------------------------------------------
! short ranged potential (HSE functional)
!----------------------------------------------------------------------
! calculate fs and fss for the HSE functional
! where the 1st and 2nd derivative of Fx are known
fs = dFx_ds / s
fss = (d2Fx_ds2 - fs) / s
vx_sr = exunif * ( thrd4*fxhse - (u-thrd4*s2*s)*fss - v*fs
& + thrd*kF * ( dFx_dkF - d2Fx_dsdkF*s ) )
vx_sr = exunif * ( thrd4*fxhse - (u-thrd4*s2*s)*fss - v*fs &
+ thrd*kF * ( dFx_dkF - d2Fx_dsdkF*s ) )
END SUBROUTINE exchpbe
END
END SUBROUTINE exchpbe
END MODULE m_exchpbe
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