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quantum-espresso/Modules/uspp.f90

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!
! Copyright (C) 2004 PWSCF group
! This file is distributed under the terms of the
! GNU General Public License. See the file `License'
! in the root directory of the present distribution,
! or http://www.gnu.org/copyleft/gpl.txt .
!
MODULE uspp_param
!
! ... Ultrasoft and Norm-Conserving pseudopotential parameters
!
USE kinds, ONLY : DP
USE parameters, ONLY : npsx
USE pseudo_types, ONLY : pseudo_upf
!
SAVE
!
TYPE (pseudo_upf), ALLOCATABLE, TARGET :: upf(:)
INTEGER :: &
nh(npsx), &! number of beta functions per atomic type
nhm, &! max number of different beta functions per atom
nbetam, &! max number of beta functions
iver(3,npsx) ! version of the atomic code
INTEGER :: &
lmaxkb, &! max angular momentum
lmaxq ! max angular momentum + 1 for Q functions
LOGICAL :: &
newpseudo(npsx), &! if .TRUE. multiple projectors are allowed
oldvan(npsx) ! old version of Vanderbilt PPs, using
! Herman-Skillman grid - obsolescent
END MODULE uspp_param
!
MODULE uspp
!
! Ultrasoft PPs:
! - Clebsch-Gordan coefficients "ap", auxiliary variables "lpx", "lpl"
! - beta and q functions of the solid
!
USE kinds, ONLY: DP
USE parameters, ONLY: lmaxx, lqmax
IMPLICIT NONE
PRIVATE
SAVE
PUBLIC :: nlx, lpx, lpl, ap, aainit, indv, nhtol, nhtolm, nkb, nkbus, &
vkb, dvan, deeq, qq, nhtoj, ijtoh, beta, becsum, okvan, deallocate_uspp
PUBLIC :: qq_so, dvan_so, deeq_nc
INTEGER, PARAMETER :: &
nlx = (lmaxx+1)**2, &! maximum number of combined angular momentum
mx = 2*lqmax-1 ! maximum magnetic angular momentum of Q
INTEGER :: &! for each pair of combined momenta lm(1),lm(2):
lpx(nlx,nlx), &! maximum combined angular momentum LM
lpl(nlx,nlx,mx) ! list of combined angular momenta LM
REAL(DP) :: &
ap(lqmax*lqmax,nlx,nlx)
! Clebsch-Gordan coefficients for spherical harmonics
!
INTEGER :: nkb, &! total number of beta functions, with struct.fact.
nkbus ! as above, for US-PP only
!
INTEGER, ALLOCATABLE ::&
indv(:,:), &! indes linking atomic beta's to beta's in the solid
nhtol(:,:), &! correspondence n <-> angular momentum l
nhtolm(:,:), &! correspondence n <-> combined lm index for (l,m)
ijtoh(:,:,:) ! correspondence beta indexes ih,jh -> composite index ijh
!
LOGICAL :: &
okvan = .FALSE. ! if .TRUE. at least one pseudo is Vanderbilt
!
COMPLEX(DP), ALLOCATABLE, TARGET :: &
vkb(:,:) ! all beta functions in reciprocal space
REAL(DP), ALLOCATABLE :: &
becsum(:,:,:) ! \sum_i f(i) <psi(i)|beta_l><beta_m|psi(i)>
REAL(DP), ALLOCATABLE :: &
dvan(:,:,:), &! the D functions of the solid
deeq(:,:,:,:), &! the integral of V_eff and Q_{nm}
qq(:,:,:), &! the q functions in the solid
nhtoj(:,:) ! correspondence n <-> total angular momentum
!
COMPLEX(DP), ALLOCATABLE :: & ! variables for spin-orbit/noncolinear case:
qq_so(:,:,:,:), &! Q_{nm}
dvan_so(:,:,:,:), &! D_{nm}
deeq_nc(:,:,:,:) ! \int V_{eff}(r) Q_{nm}(r) dr
!
! spin-orbit coupling: qq and dvan are complex, qq has additional spin index
! noncolinear magnetism: deeq is complex (even in absence of spin-orbit)
!
REAL(DP), ALLOCATABLE :: &
beta(:,:,:) ! beta functions for CP (without struct.factor)
!
CONTAINS
!
!-----------------------------------------------------------------------
subroutine aainit(lli)
!-----------------------------------------------------------------------
!
! this routine computes the coefficients of the expansion of the product
! of two real spherical harmonics into real spherical harmonics.
!
! Y_limi(r) * Y_ljmj(r) = \sum_LM ap(LM,limi,ljmj) Y_LM(r)
!
! On output:
! ap the expansion coefficients
! lpx for each input limi,ljmj is the number of LM in the sum
! lpl for each input limi,ljmj points to the allowed LM
!
! The indices limi,ljmj and LM assume the order for real spherical
! harmonics given in routine ylmr2
!
implicit none
!
! input: the maximum li considered
!
integer :: lli
!
! local variables
!
integer :: llx, l, li, lj
real(DP) , allocatable :: r(:,:), rr(:), ylm(:,:), mly(:,:)
! an array of random vectors: r(3,llx)
! the norm of r: rr(llx)
! the real spherical harmonics for array r: ylm(llx,llx)
! the inverse of ylm considered as a matrix: mly(llx,llx)
real(DP) :: dum
!
if (lli < 0) call errore('aainit','lli not allowed',lli)
if (lli*lli > nlx) call errore('aainit','nlx is too small ',lli*lli)
llx = (2*lli-1)**2
if (2*lli-1 > lqmax) &
call errore('aainit','ap leading dimension is too small',llx)
allocate (r( 3, llx ))
allocate (rr( llx ))
allocate (ylm( llx, llx ))
allocate (mly( llx, llx ))
r(:,:) = 0.0_DP
ylm(:,:) = 0.0_DP
mly(:,:) = 0.0_DP
ap(:,:,:)= 0.0_DP
! - generate an array of random vectors (uniform deviate on unitary sphere)
call gen_rndm_r(llx,r,rr)
! - generate the real spherical harmonics for the array: ylm(ir,lm)
call ylmr2(llx,llx,r,rr,ylm)
!- store the inverse of ylm(ir,lm) in mly(lm,ir)
call invmat(llx, ylm, mly, dum)
!- for each li,lj compute ap(l,li,lj) and the indices, lpx and lpl
do li = 1, lli*lli
do lj = 1, lli*lli
lpx(li,lj)=0
do l = 1, llx
ap(l,li,lj) = compute_ap(l,li,lj,llx,ylm,mly)
if (abs(ap(l,li,lj)) > 1.d-3) then
lpx(li,lj) = lpx(li,lj) + 1
if (lpx(li,lj) > mx) &
call errore('aainit','mx dimension too small', lpx(li,lj))
lpl(li,lj,lpx(li,lj)) = l
end if
end do
end do
end do
deallocate(mly)
deallocate(ylm)
deallocate(rr)
deallocate(r)
return
end subroutine aainit
!
!-----------------------------------------------------------------------
subroutine gen_rndm_r(llx,r,rr)
!-----------------------------------------------------------------------
! - generate an array of random vectors (uniform deviate on unitary sphere)
!
USE constants, ONLY: tpi
USE random_numbers, ONLY: randy
implicit none
!
! first the I/O variables
!
integer :: llx ! input: the dimension of r and rr
real(DP) :: &
r(3,llx), &! output: an array of random vectors
rr(llx) ! output: the norm of r
!
! here the local variables
!
integer :: ir
real(DP) :: costheta, sintheta, phi
do ir = 1, llx
costheta = 2.0_DP * randy() - 1.0_DP
sintheta = SQRT ( 1.0_DP - costheta*costheta)
phi = tpi * randy()
r (1,ir) = sintheta * cos(phi)
r (2,ir) = sintheta * sin(phi)
r (3,ir) = costheta
rr(ir) = 1.0_DP
end do
return
end subroutine gen_rndm_r
!
!-----------------------------------------------------------------------
function compute_ap(l,li,lj,llx,ylm,mly)
!-----------------------------------------------------------------------
!- given an l and a li,lj pair compute ap(l,li,lj)
implicit none
!
! first the I/O variables
!
integer :: &
llx, &! the dimension of ylm and mly
l,li,lj ! the arguments of the array ap
real(DP) :: &
compute_ap, &! this function
ylm(llx,llx),&! the real spherical harmonics for array r
mly(llx,llx) ! the inverse of ylm considered as a matrix
!
! here the local variables
!
integer :: ir
compute_ap = 0.0_DP
do ir = 1,llx
compute_ap = compute_ap + mly(l,ir)*ylm(ir,li)*ylm(ir,lj)
end do
return
end function compute_ap
!
!-----------------------------------------------------------------------
SUBROUTINE deallocate_uspp()
!-----------------------------------------------------------------------
!
IF( ALLOCATED( nhtol ) ) DEALLOCATE( nhtol )
IF( ALLOCATED( indv ) ) DEALLOCATE( indv )
IF( ALLOCATED( nhtolm ) ) DEALLOCATE( nhtolm )
IF( ALLOCATED( nhtoj ) ) DEALLOCATE( nhtoj )
IF( ALLOCATED( ijtoh ) ) DEALLOCATE( ijtoh )
IF( ALLOCATED( vkb ) ) DEALLOCATE( vkb )
IF( ALLOCATED( becsum ) ) DEALLOCATE( becsum )
IF( ALLOCATED( qq ) ) DEALLOCATE( qq )
IF( ALLOCATED( dvan ) ) DEALLOCATE( dvan )
IF( ALLOCATED( deeq ) ) DEALLOCATE( deeq )
IF( ALLOCATED( qq_so ) ) DEALLOCATE( qq_so )
IF( ALLOCATED( dvan_so ) ) DEALLOCATE( dvan_so )
IF( ALLOCATED( deeq_nc ) ) DEALLOCATE( deeq_nc )
!
END SUBROUTINE deallocate_uspp
!
END MODULE uspp
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