mirror of
https://github.com/triqs/dft_tools
synced 2024-12-27 06:43:40 +01:00
119 lines
3.9 KiB
C++
119 lines
3.9 KiB
C++
|
|
/*******************************************************************************
|
|
*
|
|
* TRIQS: a Toolbox for Research in Interacting Quantum Systems
|
|
*
|
|
* Copyright (C) 2011 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_view<legendre> const & 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_inverse (gf_view<legendre> & gl, gf_view<imfreq> const & 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
|
|
long Nt = 50000;
|
|
auto gt = make_gf<imtime>(gw.domain().beta, gw.domain().statistic,
|
|
triqs::arrays::mini_vector<size_t,2>(gw.data().shape()[1],gw.data().shape()[2]),
|
|
Nt, half_bins);
|
|
|
|
// We first transform to imaginary time because it's been coded with the knowledge of the tails
|
|
gt() = lazy_inverse_fourier(gw);
|
|
legendre_matsubara_inverse(gl, gt());
|
|
|
|
}
|
|
|
|
|
|
void legendre_matsubara_direct (gf_view<imtime> & gt, gf_view<legendre> const & 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_view<imtime> const & 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();
|
|
|
|
}
|
|
|
|
|
|
gf_keeper<tags::legendre,legendre> lazy_legendre_imfreq (gf_view<legendre> const & gl) { return gl; }
|
|
gf_keeper<tags::legendre,legendre> lazy_legendre_imtime (gf_view<legendre> const & gl) { return gl; }
|
|
gf_keeper<tags::legendre,imfreq> lazy_imfreq_legendre (gf_view<imfreq> const & gw) { return gw; }
|
|
gf_keeper<tags::legendre,imtime> lazy_imtime_legendre (gf_view<imtime> const & gt) { return 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> >, 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);
|
|
}
|
|
|
|
}}
|