quantum-espresso/PW/rotate_wfc.f90

107 lines
3.0 KiB
Fortran

!
! Copyright (C) 2001-2004 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 .
!
#include "f_defs.h"
!
!----------------------------------------------------------------------------
SUBROUTINE rotate_wfc( npwx, npw, nstart, nbnd, psi, overlap, evc, e )
!----------------------------------------------------------------------------
!
! ... Hamiltonian diagonalization in the subspace spanned
! ... by nstart states psi ( atomic or random wavefunctions ).
! ... produces on output nbnd eigenvectors ( nbnd <= nstart ) in evc.
! ... Calls h_psi, s_psi to calculate H|psi> ans S|psi>
! ... It only uses an auxiliary array of the same size as psi.
!
USE kinds, ONLY : DP
!
IMPLICIT NONE
!
! ... I/O variables
!
INTEGER :: npw, npwx, nstart, nbnd
! dimension of the matrix to be diagonalized
! leading dimension of matrix psi, as declared in the calling pgm unit
! input number of states
! output number of states
LOGICAL :: overlap
! if .FALSE. : S|psi> not needed
COMPLEX(DP) :: psi(npwx,nstart), evc(npwx,nbnd)
! input and output eigenvectors (may overlap)
REAL(DP) :: e(nbnd)
! eigenvalues
!
! ... local variables
!
COMPLEX(DP), ALLOCATABLE :: aux(:,:), hc(:,:), sc(:,:), vc(:,:)
REAL(DP), ALLOCATABLE :: en(:)
!
!
CALL start_clock( 'wfcrot' )
!
ALLOCATE( aux( npwx, nstart ) )
ALLOCATE( hc( nstart, nstart) )
ALLOCATE( sc( nstart, nstart) )
ALLOCATE( vc( nstart, nstart) )
ALLOCATE( en( nstart ) )
!
! ... Set up the Hamiltonian and Overlap matrix on the subspace :
!
! ... H_ij = <psi_i| H |psi_j> S_ij = <psi_i| S |psi_j>
!
CALL h_psi( npwx, npw, nstart, psi, aux )
!
call ZGEMM( 'C', 'N', nstart, nstart, npw, ( 1.D0, 0.D0 ), psi, npwx, &
aux, npwx, ( 0.D0, 0.D0 ), hc, nstart )
!
#if defined (__PARA)
CALL reduce( 2 * nstart * nstart, hc )
#endif
!
IF ( overlap ) THEN
!
CALL s_psi( npwx, npw, nstart, psi, aux )
!
CALL ZGEMM( 'C', 'N', nstart, nstart, npw, ( 1.D0, 0.D0 ), psi, npwx, &
aux, npwx, ( 0.D0, 0.D0 ), sc, nstart )
!
ELSE
!
CALL ZGEMM( 'C', 'N', nstart, nstart, npw, ( 1.D0, 0.D0 ), psi, npwx, &
psi, npwx, ( 0.D0, 0.D0 ), sc, nstart )
!
END IF
!
#if defined (__PARA)
CALL reduce( 2 * nstart * nstart, sc )
#endif
!
! ... Diagonalize
!
CALL cdiaghg( nstart, nbnd, hc, sc, nstart, en, vc )
!
e(:) = en(1:nbnd)
!
! ... update the basis set
!
CALL ZGEMM( 'N', 'N', npw, nbnd, nstart, ( 1.D0, 0.D0 ), psi, npwx, &
vc, nstart, ( 0.D0, 0.D0 ), aux, npwx )
!
evc(:,:) = aux(:,1:nbnd)
!
DEALLOCATE( en )
DEALLOCATE( vc )
DEALLOCATE( sc )
DEALLOCATE( hc )
DEALLOCATE( aux )
!
CALL stop_clock( 'wfcrot' )
!
RETURN
!
END SUBROUTINE rotate_wfc