mirror of
https://github.com/triqs/dft_tools
synced 2024-11-01 19:53:45 +01:00
579368f24b
- lazy_fourier and co --> fourier - ex fourier --> make_gf_from_fourier to make a new gf - = fourier (g) works only iif lhs is a view, like scalar. - updated python (commented fourier method).
115 lines
3.5 KiB
C++
115 lines
3.5 KiB
C++
/*******************************************************************************
|
|
*
|
|
* TRIQS: a Toolbox for Research in Interacting Quantum Systems
|
|
*
|
|
* Copyright (C) 2011-2014 by L. Boehnke, M. Ferrero, O. Parcollet
|
|
*
|
|
* TRIQS is free software: you can redistribute it and/or modify it under the
|
|
* terms of the GNU General Public License as published by the Free Software
|
|
* Foundation, either version 3 of the License, or (at your option) any later
|
|
* version.
|
|
*
|
|
* TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY
|
|
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
|
|
* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
|
|
* details.
|
|
*
|
|
* You should have received a copy of the GNU General Public License along with
|
|
* TRIQS. If not, see <http://www.gnu.org/licenses/>.
|
|
*
|
|
******************************************************************************/
|
|
|
|
#include "legendre_matsubara.hpp"
|
|
#include "fourier_matsubara.hpp"
|
|
#include "functions.hpp"
|
|
#include <triqs/utility/legendre.hpp>
|
|
|
|
using namespace triqs::utility;
|
|
|
|
namespace triqs {
|
|
namespace gfs {
|
|
|
|
// ----------------------------
|
|
|
|
void legendre_matsubara_direct(gf_view<imfreq> gw, gf_const_view<legendre> gl) {
|
|
|
|
gw() = 0.0;
|
|
triqs::arrays::range R;
|
|
|
|
// Use the transformation matrix
|
|
for (auto om : gw.mesh()) {
|
|
for (auto l : gl.mesh()) {
|
|
gw[om] += legendre_T(om.index(), l.index()) * gl[l];
|
|
}
|
|
}
|
|
|
|
gw.singularity() = get_tail(gl, gw.singularity().size(), gw.singularity().order_min());
|
|
}
|
|
|
|
// ----------------------------
|
|
|
|
void legendre_matsubara_direct(gf_view<imtime> gt, gf_const_view<legendre> gl) {
|
|
|
|
gt() = 0.0;
|
|
legendre_generator L;
|
|
|
|
for (auto t : gt.mesh()) {
|
|
L.reset(2 * t / gt.domain().beta - 1);
|
|
for (auto l : gl.mesh()) {
|
|
gt[t] += sqrt(2 * l.index() + 1) / gt.domain().beta * gl[l] * L.next();
|
|
}
|
|
}
|
|
|
|
gt.singularity() = get_tail(gl, gt.singularity().size(), gt.singularity().order_min());
|
|
}
|
|
|
|
// ----------------------------
|
|
|
|
void legendre_matsubara_inverse(gf_view<legendre> gl, gf_const_view<imtime> gt) {
|
|
|
|
gl() = 0.0;
|
|
legendre_generator L;
|
|
|
|
// Do the integral over imaginary time
|
|
for (auto t : gt.mesh()) {
|
|
L.reset(2 * t / gt.domain().beta - 1);
|
|
for (auto l : gl.mesh()) {
|
|
gl[l] += sqrt(2 * l.index() + 1) * L.next() * gt[t];
|
|
}
|
|
}
|
|
gl.data() *= gt.mesh().delta();
|
|
}
|
|
|
|
// ----------------------------
|
|
|
|
void legendre_matsubara_inverse(gf_view<legendre> gl, gf_const_view<imfreq> gw) {
|
|
|
|
gl() = 0.0;
|
|
|
|
// Construct a temporary imaginary-time Green's function gt
|
|
// I set Nt time bins. This is ugly, one day we must code the direct
|
|
// transformation without going through imaginary time
|
|
int Nt = 50000;
|
|
auto gt = gf<imtime>{{gw.domain(), Nt, half_bins}, gw.data().shape().front_pop()};
|
|
|
|
// We first transform to imaginary time because it's been coded with the knowledge of the tails
|
|
gt() = inverse_fourier(gw);
|
|
legendre_matsubara_inverse(gl, gt());
|
|
}
|
|
|
|
|
|
void triqs_gf_view_assign_delegation(gf_view<imfreq> gw, gf_keeper<tags::legendre, legendre> const& L) {
|
|
legendre_matsubara_direct(gw, L.g);
|
|
}
|
|
void triqs_gf_view_assign_delegation(gf_view<imtime> gt, gf_keeper<tags::legendre, legendre> const& L) {
|
|
legendre_matsubara_direct(gt, L.g);
|
|
}
|
|
void triqs_gf_view_assign_delegation(gf_view<legendre> gl, gf_keeper<tags::legendre, imfreq> const& L) {
|
|
legendre_matsubara_inverse(gl, L.g);
|
|
}
|
|
void triqs_gf_view_assign_delegation(gf_view<legendre> gl, gf_keeper<tags::legendre, imtime> const& L) {
|
|
legendre_matsubara_inverse(gl, L.g);
|
|
}
|
|
}
|
|
}
|