triqs_tprf::chiq_sum_nu_from_chi0q_and_gamma_PH

#include <triqs_tprf.hpp>

Synopsis

chi_kw_t chiq_sum_nu_from_chi0q_and_gamma_PH (chi_wnk_cvt chi0_wnk,

chi_wnn_cvt gamma_ph_wnn)

Lattice Bethe-Salpeter equation solver for the generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k})\).

Computes

\[\chi_{\bar{a}b\bar{c}d}(\omega, \mathbf{k}) = \chi^{(0)} \left[ 1 - \Gamma^{(PH)} \chi^{(0)} \right]^{-1}\]

Parameters

• chi0_wnk Generalized lattice bubble susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k})\).
• gamma_ph_wnn Local particle-hole vertex function \(\Gamma^{(PH)}_{\bar{a}b\bar{c}d}(\omega, \nu, \nu')\).

Returns

Generalized lattice susceptibility \(\chi_{\bar{a}b\bar{c}d}(\omega, \mathbf{k})\).