quantum-espresso/PP/projwfc.f90

524 lines
17 KiB
Fortran

!
! Copyright (C) 2001-2003 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 .
!
!-----------------------------------------------------------------------
program projwfc
!-----------------------------------------------------------------------
!
! projects wavefunctions onto orthogonalized atomic wavefunctions,
! calculates Lowdin charges, spilling parameter, projected DOS
! input: namelist "&inputpp", with variables
! prefix prefix of input files saved by program pwscf
! outdir temporary directory where files resides
! io_choice 'standard' : write projections to standard output
! 'file' : write projected DOS, one file per atomic
! wavefunction (those that have been read
! from the pseudopotential file)
! 'both' : do both of the above things
! Emin projected DOS is plotted starting at E=Emin
! (eV, default: lowest eigenvalue)...
! Emax ...up to E=Emax (eV, default: highest eigenvalue)...
! DeltaE ...in steps of DeltaE (eV, default: 0.01)
! smoothing gaussian broadening (eV, default: DeltaE)
!
USE io_global, ONLY : stdout
use parameters, only : DP
use io_files, only : nd_nmbr, prefix, tmp_dir
#ifdef __PARA
use para, only : me
use mp
#endif
implicit none
character (len=8) :: io_choice
character(len=256) :: outdir
real (kind=DP) :: Emin, Emax, DeltaE, smoothing
integer :: ios, ionode_id = 0
namelist / inputpp / outdir, prefix, io_choice, &
Emin, Emax, DeltaE, smoothing
!
call start_postproc (nd_nmbr)
!
! set default values for variables in namelist
!
prefix = 'pwscf'
outdir = './'
io_choice ='both'
Emin =-1000000.
Emax =+1000000.
DeltaE = 0.01
smoothing = 0.d0
!
#ifdef __PARA
if (me == 1) then
#endif
read (5, inputpp, err = 200, iostat = ios)
200 call errore ('projwave', 'reading inputpp namelist', abs (ios) )
!
tmp_dir = trim(outdir)
!
#ifdef __PARA
end if
!
! ... Broadcast variables
!
CALL mp_bcast( tmp_dir, ionode_id )
CALL mp_bcast( prefix, ionode_id )
CALL mp_bcast( io_choice, ionode_id )
CALL mp_bcast( smoothing, ionode_id )
CALL mp_bcast( DeltaE, ionode_id )
CALL mp_bcast( Emin, ionode_id )
CALL mp_bcast( Emax, ionode_id )
#endif
smoothing = MAX ( smoothing, DeltaE )
if (io_choice.ne.'standard' .and. io_choice.ne.'files' .and. &
io_choice.ne.'both') &
call errore ('projwave','io_choice definition is invalid',1)
!
! Now allocate space for pwscf variables, read and check them.
!
call read_file
call openfil
!
call projwave (io_choice,Emin, Emax, DeltaE, smoothing)
!
call stop_pp
!
end program projwfc
!-----------------------------------------------------------------------
subroutine projwave (io_choice,Emin, Emax, DeltaE, smoothing)
!-----------------------------------------------------------------------
!
#include "machine.h"
USE io_global, ONLY : stdout
use atom
use basis
use brilz
use constants, only: rytoev
use gvect
use klist
use ldaU
use lsda_mod
use symme, only: nsym, irt
use varie, only: newpseudo
use wvfct
use us
use becmod
use io_files, only: nd_nmbr, prefix, tmp_dir, nwordwfc, iunwfc
use wavefunctions_module, only: evc
#ifdef __PARA
use para
#endif
implicit none
character (len=80) :: filproj
character (len=8) :: io_choice
character (len=33) :: filextension
character (len=1) :: l_label(0:3)=(/'s','p','d','f'/)
!
type wfc_label
integer na, n, l, m
end type wfc_label
type(wfc_label), allocatable :: nlmchi(:)
!
integer :: ik, ibnd, i, j, k, na, nb, nt, isym, n, m, m1, l, lm, nwfc,&
nwfc1, lmax_wfc, c_tab, ne, ie_mid, ie_delta, ie, is
logical :: exst
real(kind=DP) :: psum, totcharge, Emin, Emax, DeltaE, smoothing, etev, &
delta, w0gauss, Elw, Eup
real(kind=DP), allocatable :: e (:), proj (:,:,:), charges(:,:), pdos(:,:,:)
complex(kind=DP), allocatable :: wfcatom (:,:), overlap (:,:), &
work (:,:), work1(:), proj0(:,:)
integer, allocatable :: index(:)
external w0gauss
!
!
WRITE( stdout, '(/5x,"Calling projwave .... ")')
if (io_choice.eq.'standard' ) &
WRITE( stdout, '(5x,"Projections are written to standard output")')
if (io_choice.eq.'files' ) &
WRITE( stdout, '(5x,"Projections are written to files")')
if (io_choice.eq.'both' ) &
WRITE( stdout, '(5x,"Projections are written to both standard output and file")')
!
allocate(swfcatom (npwx , natomwfc ) )
allocate(wfcatom (npwx, natomwfc) )
allocate(proj (natomwfc, nbnd, nkstot) )
allocate(overlap (natomwfc, natomwfc) )
allocate(e (natomwfc) )
proj = 0.d0
overlap= (0.d0,0.d0)
!
! initialize D_Sl for l=1, l=2 and l=3, for l=0 D_S0 is 1
!
call d_matrix (d1, d2, d3)
!
! fill structure nlmchi
!
allocate (nlmchi(natomwfc))
nwfc=0
lmax_wfc = 0
do na = 1, nat
nt = ityp (na)
do n = 1, nchi (nt)
if (oc (n, nt) > 0.d0 .OR..NOT.newpseudo (nt) ) then
l = lchi (n, nt)
lmax_wfc = max (lmax_wfc, l )
do m = 1, 2 * l + 1
nwfc=nwfc+1
nlmchi(nwfc)%na = na
nlmchi(nwfc)%n = n
nlmchi(nwfc)%l = l
nlmchi(nwfc)%m = m
enddo
endif
enddo
enddo
if (lmax_wfc > 3) call errore ('projwave', 'l > 3 not yet implemented', 1)
if (nwfc /= natomwfc) call errore ('projwave', 'wrong # of atomic wfcs?', 1)
!
! loop on k points
!
call init_us_1
!
do ik = 1, nks
npw = npwx
call gk_sort (xk (1, ik), ngm, g, ecutwfc / tpiba2, npw, igk, g2kin)
call davcio (evc, nwordwfc, iunwfc, ik, - 1)
call atomic_wfc (ik, wfcatom)
call init_us_2 (npw, igk, xk (1, ik), vkb)
call ccalbec (nkb, npwx, npw, natomwfc, becp, vkb, wfcatom)
call s_psi (npwx, npw, natomwfc, wfcatom, swfcatom)
!
! wfcatom = |phi_i> , swfcatom = \hat S |phi_i>
! calculate overlap matrix O_ij = <phi_i|\hat S|\phi_j>
!
call ZGEMM ('c', 'n', natomwfc, natomwfc, npw, (1.d0, 0.d0) , &
wfcatom, npwx, swfcatom, npwx, (0.d0, 0.d0) , overlap, natomwfc)
#ifdef __PARA
call reduce (2 * natomwfc * natomwfc, overlap)
#endif
!
! calculate O^{-1/2}
!
allocate(work (natomwfc, natomwfc) )
call cdiagh (natomwfc, overlap, natomwfc, e, work)
do i = 1, natomwfc
e (i) = 1.d0 / dsqrt (e (i) )
enddo
do i = 1, natomwfc
do j = i, natomwfc
overlap (i, j) = (0.d0, 0.d0)
do k = 1, natomwfc
overlap (i, j) = overlap (i, j) + e (k) * work (j, k) * conjg (work (i, k) )
enddo
if (j /= i) overlap (j, i) = conjg (overlap (i, j))
enddo
enddo
deallocate (work)
!
! calculate wfcatom = O^{-1/2} \hat S | phi>
!
call ZGEMM ('n', 't', npw, natomwfc, natomwfc, (1.d0, 0.d0) , &
swfcatom, npwx, overlap, natomwfc, (0.d0, 0.d0), wfcatom, npwx)
!
! make the projection <psi_i| O^{-1/2} \hat S | phi_j>
!
allocate(proj0(natomwfc,nbnd) )
call ZGEMM ('c', 'n', natomwfc, nbnd, npw, (1.d0, 0.d0) , &
wfcatom, npwx, evc, npwx, (0.d0, 0.d0) , proj0, natomwfc)
#ifdef __PARA
call reduce (2 * natomwfc * nbnd, proj0)
#endif
!
! symmetrize the projections
!
allocate(work1 (nbnd) )
do nwfc = 1, natomwfc
!
! atomic wavefunction nwfc is on atom na
!
na= nlmchi(nwfc)%na
n = nlmchi(nwfc)%n
l = nlmchi(nwfc)%l
m = nlmchi(nwfc)%m
!
do isym = 1, nsym
nb = irt (isym, na)
do nwfc1 =1, natomwfc
if (nlmchi(nwfc1)%na.eq. nb .and. &
nlmchi(nwfc1)%n .eq. nlmchi(nwfc)%n .and. &
nlmchi(nwfc1)%l .eq. nlmchi(nwfc)%l .and. &
nlmchi(nwfc1)%m .eq. 1 ) go to 10
end do
call errore('projwave','cannot symmetrize',1)
10 nwfc1=nwfc1-1
!
! nwfc1 is the first rotated atomic wfc corresponding to nwfc
!
if (l == 0) then
work1(:) = proj0 (nwfc1 + 1,:)
else if (l == 1) then
work1(:) = 0.d0
do m1 = 1, 3
work1(:) = work1(:) + d1 (m1, m, isym) * proj0 (nwfc1 + m1,:)
enddo
else if (l == 2) then
work1(:) = 0.d0
do m1 = 1, 5
work1(:) = work1(:) + d2 (m1, m, isym) * proj0 (nwfc1 + m1,:)
enddo
else if (l == 3) then
work1(:) = 0.d0
do m1 = 1, 7
work1(:) = work1(:) + d3 (m1, m, isym) * proj0 (nwfc1 + m1,:)
enddo
endif
do ibnd = 1, nbnd
proj (nwfc, ibnd, ik) = proj (nwfc, ibnd, ik) + &
work1(ibnd) * conjg (work1(ibnd)) / nsym
enddo
enddo
enddo
deallocate (work1)
deallocate (proj0 )
! on k-points
enddo
#ifdef __PARA
!
! recover the vector proj over the pools
!
call poolrecover (et, nbnd, nkstot, nks)
call poolrecover (proj, nbnd * natomwfc, nkstot, nks)
!
if (me == 1 .AND. mypool == 1) then
#endif
!
! write on the standard output file
!
if (io_choice.eq.'standard' .OR. io_choice.eq.'both' ) then
WRITE( stdout,'(/"Projection on atomic states:"/)')
do nwfc = 1, natomwfc
WRITE( stdout,'(5x,"state #",i3,": atom ",i3," (",a3,"), wfc ",i2, &
& " (l=",i1," m=",i2,")")') &
nwfc, nlmchi(nwfc)%na, atm(ityp(nlmchi(nwfc)%na)), &
nlmchi(nwfc)%n, nlmchi(nwfc)%l, nlmchi(nwfc)%m
end do
!
allocate(index (natomwfc) )
do ik = 1, nkstot
WRITE( stdout, '(/" k = ",3f14.10)') (xk (i, ik) , i = 1, 3)
do ibnd = 1, nbnd
WRITE( stdout, '(5x,"e = ",f14.10," eV")') et (ibnd, ik) * rytoev
!
! sort projections by magnitude, in decreasing order
!
do nwfc = 1, natomwfc
index (nwfc) = 0
e (nwfc) = - proj (nwfc, ibnd, ik)
end do
call hpsort (natomwfc, e, index)
!
! only projections that are larger than 0.001 are written
!
do nwfc = 1, natomwfc
e (nwfc) = - e(nwfc)
if ( abs (e(nwfc)) < 0.001 ) go to 20
end do
nwfc = natomwfc + 1
20 nwfc = nwfc -1
!
! fancy (?!?) formatting
!
WRITE( stdout, '(5x,"psi = ",5(f5.3,"*[#",i3,"]+"))') &
(e (i), index(i), i = 1, min(5,nwfc))
do j = 1, (nwfc-1)/5
WRITE( stdout, '(10x,"+",5(f5.3,"*[#",i3,"]+"))') &
(e (i), index(i), i = 5*j+1, min(5*(j+1),nwfc))
end do
psum = 0.d0
do nwfc = 1, natomwfc
psum = psum + proj (nwfc, ibnd, ik)
end do
WRITE( stdout, '(4x,"|psi|^2 = ",f5.3)') psum
!
enddo
enddo
deallocate (index)
end if
!
! estimate partial charges (Loewdin) on each atom
!
allocate ( charges (nat, 0:lmax_wfc ) )
charges = 0.0
do ik = 1, nkstot
do ibnd = 1, nbnd
do nwfc = 1, natomwfc
na= nlmchi(nwfc)%na
l = nlmchi(nwfc)%l
charges(na,l) = charges(na,l) + wg (ibnd,ik) * &
proj (nwfc, ibnd, ik)
enddo
end do
end do
!
WRITE( stdout, '(/"Lowdin Charges: "/)')
!
psum = 0.0
do na = 1, nat
totcharge = 0.d0
do l = 0, lmax_wfc
totcharge = totcharge + charges(na,l)
end do
psum = psum + totcharge
WRITE( stdout, '(5x,"Atom # ",i3,": total charge = ",f8.4, &
& ", s, p, d, f = ",4f8.4 )') &
na, totcharge, ( charges(na,l), l= 0,lmax_wfc)
end do
psum = psum / nelec
WRITE( stdout, '(5x,"Spilling Parameter: ",f8.4)') 1.0 - psum
!
! Sanchez-Portal et al., Sol. State Commun. 95, 685 (1995).
! The spilling parameter measures the ability of the basis provided by
! the pseudo-atomic wfc to represent the PW eigenstates,
! by measuring how much of the subspace of the Hamiltonian
! eigenstates falls outside the subspace spanned by the atomic basis
!
deallocate (charges)
if (io_choice.eq.'files' .OR. io_choice.eq.'both') then
!
! find band extrema
!
Elw = et (1, 1)
Eup = et (nbnd, 1)
do ik = 2, nkstot
Elw = min (Elw, et (1, ik) )
Eup = max (Eup, et (nbnd, ik) )
enddo
Emin = max (Emin, Elw*rytoev - 5*smoothing )
Emax = min (Emax, Eup*rytoev + 5*smoothing )
ne = nint( (Emax-Emin)/DeltaE )
allocate (pdos(0:ne,0:natomwfc+1,nspin))
pdos(:,:,:) = 0.d0
current_spin = 1
ie_delta = 5 * smoothing / DeltaE+1
do ik = 1,nkstot
if ( nspin == 2 ) current_spin = isk ( ik )
do ibnd = 1, nbnd
etev = et(ibnd,ik) * rytoev
ie_mid = nint( (etev-Emin)/DeltaE )
do ie = max(ie_mid-ie_delta, 0), min(ie_mid+ie_delta, ne)
delta = w0gauss((Emin+DeltaE*ie-etev)/smoothing,0)/smoothing
do nwfc = 1, natomwfc
pdos(ie,nwfc,current_spin) = pdos(ie,nwfc,current_spin) + &
wk(ik) * delta * proj (nwfc, ibnd, ik)
end do
pdos(ie,0,current_spin) = pdos(ie,0,current_spin) + &
wk(ik) * delta
end do
end do
end do
do is=1,nspin
do ie=0,ne
pdos(ie,natomwfc+1,is) = sum(pdos(ie,1:natomwfc,is))
end do
end do
do nwfc = 1, natomwfc
if (nlmchi(nwfc)%m .eq. 1) then
filextension='.pdos_atm#'
! 12345678901
c_tab = 11
if (nlmchi(nwfc)%na < 10) then
write (filextension( c_tab : c_tab ),'(i1)') nlmchi(nwfc)%na
c_tab = c_tab + 1
else if (nlmchi(nwfc)%na < 100) then
write (filextension( c_tab : c_tab+1 ),'(i2)') nlmchi(nwfc)%na
c_tab = c_tab + 2
else if (nlmchi(nwfc)%na < 1000) then
write (filextension( c_tab : c_tab+2 ),'(i3)') nlmchi(nwfc)%na
c_tab = c_tab + 3
else
call errore('projwave',&
'file extension not supporting so many atoms', &
nwfc)
endif
write (filextension(c_tab:c_tab+4),'(a1,a)') &
'(',trim(atm(ityp(nlmchi(nwfc)%na)))
c_tab = c_tab + len_trim(atm(ityp(nlmchi(nwfc)%na))) + 1
if (nlmchi(nwfc)%n >= 10) &
call errore('projwave',&
'file extension not supporting so many atomic wfc',&
nwfc)
if (nlmchi(nwfc)%l > 3) &
call errore('projwave',&
'file extension not supporting so many l', &
nwfc)
write (filextension(c_tab:),'(")_wfc#",i1,"(",a1,")")') &
nlmchi(nwfc)%n, l_label(nlmchi(nwfc)%l)
open (4,file=trim(prefix)//filextension,form='formatted', &
status='unknown')
write (4,'("# E (eV) ",$)')
do m=1,2 * nlmchi(nwfc)%l + 1
if (nspin == 1) then
write(4,'(" dos(E) ",$)')
else
write(4,'(" dosup(E) ",$)')
write(4,'(" dosdw(E) ",$)')
end if
end do
write(4,*)
do ie= 0, ne
etev = Emin + ie * DeltaE
write (4,'(f7.3,14e11.3)') etev, &
((pdos(ie,nwfc+m-1,is), is=1,nspin), &
m=1,2*nlmchi(nwfc)%l+1)
end do
close (4)
end if
end do
open (4,file=trim(prefix)//".pdos_tot",form='formatted', &
status='unknown')
if (nspin == 1) then
write (4,'("# E (eV) dos(E) pdos(E)")')
else
write (4,'("# E (eV) dosup(E) dosdw(E) pdosup(E) pdosdw(E)")')
end if
do ie= 0, ne
etev = Emin + ie * DeltaE
write (4,'(f7.3,4e11.3)') etev, (pdos(ie,0,is), is=1,nspin), &
(pdos(ie,natomwfc+1,is), is=1,nspin)
end do
close (4)
deallocate (pdos)
end if
#ifdef __PARA
endif
#endif
deallocate (nlmchi)
deallocate (e)
deallocate (overlap)
deallocate (proj)
deallocate (wfcatom)
deallocate (swfcatom)
return
end subroutine projwave