quantum-espresso/PHonon/PH/polariz.f90

145 lines
4.3 KiB
Fortran

!
! Copyright (C) 2001-2008 Quantum ESPRESSO 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 .
!
!
!-----------------------------------------------------------------------
subroutine polariz ( iw, iu )
!-----------------------------------------------------------------------
!
! calculates the frequency dependent polarizability
!
USE io_global, ONLY : stdout
USE io_files, ONLY : iunigk
USE constants, ONLY : fpi
USE cell_base, ONLY : at, bg, omega
USE klist, ONLY : wk
USE symme, ONLY : symmatrix, crys_to_cart
USE wvfct, ONLY : npw, npwx, igk
USE kinds, ONLY : DP
USE control_lr, ONLY : nbnd_occ
USE units_ph, ONLY : lrdwf, iudwf, lrebar, iuebar
USE buffers, ONLY : get_buffer
USE freq_ph, ONLY : polar, done_iu, comp_iu
USE eqv, ONLY : dpsi, dvpsi
USE qpoint, ONLY : nksq
USE ph_restart, ONLY : ph_writefile
USE cell_base, ONLY : omega
USE mp_pools, ONLY : inter_pool_comm
USE mp_bands, ONLY : intra_bgrp_comm
USE mp, ONLY : mp_sum
!
IMPLICIT NONE
!
! I/O variables
!
REAL(kind=DP) :: iw
!
INTEGER, INTENT(IN) :: iu
!
! local variables
!
integer :: ibnd, ipol, jpol, nrec, ik, ierr
! counter on polarizations
! counter on records
! counter on k points
real(kind=DP) :: w, weight, repsilon(3,3)
complex(kind=DP), EXTERNAL :: zdotc
call start_clock ('polariz')
repsilon(:,:) = 0.d0
if (nksq > 1) rewind (unit = iunigk)
do ik = 1, nksq
if (nksq > 1) read (iunigk) npw, igk
weight = wk (ik)
w = fpi * weight / omega
do ipol = 1, 3
nrec = (ipol - 1) * nksq + ik
call get_buffer (dvpsi, lrebar, iuebar, nrec)
do jpol = 1, 3
nrec = (jpol - 1) * nksq + ik
call get_buffer(dpsi, lrdwf, iudwf, nrec)
do ibnd = 1, nbnd_occ (ik)
!
! this is the real part of <DeltaV*psi(E)|DeltaPsi(E)>
!
repsilon(ipol,jpol)=repsilon(ipol,jpol)-4.d0*w*REAL( &
zdotc (npw, dvpsi (1, ibnd), 1, dpsi (1, ibnd), 1) )
enddo
enddo
enddo
enddo
call mp_sum ( repsilon, intra_bgrp_comm )
call mp_sum ( repsilon, inter_pool_comm )
!
! symmetrize
!
! WRITE( stdout,'(/,10x,"Unsymmetrized in crystal axis ",/)')
! WRITE( stdout,'(10x,"(",3f15.5," )")') ((repsilon(ipol,jpol),
! + ipol=1,3),jpol=1,3)
call crys_to_cart ( repsilon )
call symmatrix ( repsilon )
!
! pass to cartesian axis
!
! WRITE( stdout,'(/,10x,"Symmetrized in cartesian axis ",/)')
! WRITE( stdout,'(10x,"(",3f15.5," )")') ((repsilon(ipol,jpol),
! + ipol=1,3),jpol=1,3)
!
! add the diagonal part
!
do ipol = 1, 3
repsilon (ipol, ipol) = repsilon (ipol, ipol) + 1.d0
enddo
!
! compute the polarization
!
do ipol = 1, 3
do jpol = 1, 3
if ( repsilon (ipol, jpol) .gt. 1.d-4 ) &
repsilon (ipol, jpol) = (3.d0*omega/fpi) * ( repsilon (ipol, jpol) - 1.d0 ) / &
( repsilon (ipol, jpol) + 2.d0 )
enddo
enddo
!
! and print the result
!
WRITE( stdout, '(/,10x,"Polarizability in cartesian axis at frequency ",f5.2,/)') iw
WRITE( stdout, '(10x,"(",3f18.9," )")') ((repsilon(ipol,jpol), ipol=1,3), jpol=1,3)
polar(:,:,iu)=repsilon(:,:)
CALL write_polariz(iu)
done_iu(iu)=.TRUE.
call ph_writefile('polarization',0,iu,ierr)
!
call stop_clock ('polariz')
return
end subroutine polariz
SUBROUTINE write_polariz(iu)
!
! This routine write on output the
!
USE io_global, ONLY : stdout
USE constants, ONLY : BOHR_RADIUS_ANGS
USE freq_ph, ONLY : fiu, polar
IMPLICIT NONE
INTEGER, INTENT(IN) :: iu
INTEGER :: ipol, jpol
WRITE(stdout,'(2(/),30x," Frequency ",f10.5, "i Ry" )') fiu(iu)
WRITE(stdout,'(2(/),30x," Cartesian axis " )')
WRITE(stdout,'(/,5x,"Polarizability (a.u.)^3",20x,"Polarizability (A^3)")')
WRITE(stdout,'(3f10.2,5x,3f14.4)') ( (polar(ipol,jpol,iu), jpol=1,3), &
(polar(ipol,jpol,iu)*BOHR_RADIUS_ANGS**3, jpol=1,3), ipol=1,3)
RETURN
END SUBROUTINE write_polariz