For OO: For : where R_{x,y,z} are the Cartesian components of R
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
real(kind=dp) | :: | kpt(3) | ||||
complex(kind=dp), | intent(in), | dimension(:, :, :) | :: | OO_R | ||
complex(kind=dp), | intent(out), | optional | dimension(:, :) | :: | OO | |
complex(kind=dp), | intent(out), | optional | dimension(:, :) | :: | OO_dx | |
complex(kind=dp), | intent(out), | optional | dimension(:, :) | :: | OO_dy | |
complex(kind=dp), | intent(out), | optional | dimension(:, :) | :: | OO_dz |
subroutine pw90common_fourier_R_to_k_new(kpt, OO_R, OO, OO_dx, OO_dy, OO_dz)
!=======================================================!
! !
!! For OO:
!! $$O_{ij}(k) = \sum_R e^{+ik.R}.O_{ij}(R)$$
!! For $$OO_{dx,dy,dz}$$:
!! $$\sum_R [i.R_{dx,dy,dz}.e^{+ik.R}.O_{ij}(R)]$$
!! where R_{x,y,z} are the Cartesian components of R
! !
!=======================================================!
use w90_constants, only: dp, cmplx_0, cmplx_i, twopi
use w90_parameters, only: timing_level, num_kpts, kpt_latt, num_wann, use_ws_distance
use w90_ws_distance, only: irdist_ws, crdist_ws, wdist_ndeg, ws_translate_dist
implicit none
! Arguments
!
real(kind=dp) :: kpt(3)
complex(kind=dp), dimension(:, :, :), intent(in) :: OO_R
complex(kind=dp), optional, dimension(:, :), intent(out) :: OO
complex(kind=dp), optional, dimension(:, :), intent(out) :: OO_dx
complex(kind=dp), optional, dimension(:, :), intent(out) :: OO_dy
complex(kind=dp), optional, dimension(:, :), intent(out) :: OO_dz
integer :: ir, i, j, ideg
real(kind=dp) :: rdotk
complex(kind=dp) :: phase_fac
if (use_ws_distance) CALL ws_translate_dist(nrpts, irvec)
if (present(OO)) OO = cmplx_0
if (present(OO_dx)) OO_dx = cmplx_0
if (present(OO_dy)) OO_dy = cmplx_0
if (present(OO_dz)) OO_dz = cmplx_0
do ir = 1, nrpts
! [lp] Shift the WF to have the minimum distance IJ, see also ws_distance.F90
if (use_ws_distance) then
do j = 1, num_wann
do i = 1, num_wann
do ideg = 1, wdist_ndeg(i, j, ir)
rdotk = twopi*dot_product(kpt(:), real(irdist_ws(:, ideg, i, j, ir), dp))
phase_fac = cmplx(cos(rdotk), sin(rdotk), dp)/real(ndegen(ir)*wdist_ndeg(i, j, ir), dp)
if (present(OO)) OO(i, j) = OO(i, j) + phase_fac*OO_R(i, j, ir)
if (present(OO_dx)) OO_dx(i, j) = OO_dx(i, j) + &
cmplx_i*crdist_ws(1, ideg, i, j, ir)* &
phase_fac*OO_R(i, j, ir)
if (present(OO_dy)) OO_dy(i, j) = OO_dy(i, j) + &
cmplx_i*crdist_ws(2, ideg, i, j, ir)* &
phase_fac*OO_R(i, j, ir)
if (present(OO_dz)) OO_dz(i, j) = OO_dz(i, j) + &
cmplx_i*crdist_ws(3, ideg, i, j, ir)* &
phase_fac*OO_R(i, j, ir)
enddo
enddo
enddo
else
! [lp] Original code, without IJ-dependent shift:
rdotk = twopi*dot_product(kpt(:), irvec(:, ir))
phase_fac = cmplx(cos(rdotk), sin(rdotk), dp)/real(ndegen(ir), dp)
if (present(OO)) OO(:, :) = OO(:, :) + phase_fac*OO_R(:, :, ir)
if (present(OO_dx)) OO_dx(:, :) = OO_dx(:, :) + &
cmplx_i*crvec(1, ir)*phase_fac*OO_R(:, :, ir)
if (present(OO_dy)) OO_dy(:, :) = OO_dy(:, :) + &
cmplx_i*crvec(2, ir)*phase_fac*OO_R(:, :, ir)
if (present(OO_dz)) OO_dz(:, :) = OO_dz(:, :) + &
cmplx_i*crvec(3, ir)*phase_fac*OO_R(:, :, ir)
endif
enddo
end subroutine pw90common_fourier_R_to_k_new