chiq_sum_nu_from_chi0q_and_gamma_PH

Synopsis:

 triqs_tprf::chi_kw_t chiq_sum_nu_from_chi0q_and_gamma_PH (triqs_tprf::chi_wnk_cvt
chi0_wnk, triqs_tprf::chi_wnn_cvt gamma_ph_wnn)

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

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 \(\Gamma^{(PH)}_{\bar{a}b\bar{c}d}(\omega, \nu, \nu')\).

Return value

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

Documentation

Computes

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