chi0q_sum_nu_q

Synopsis:

triqs_tprf::chi_w_t chi0q_sum_nu_q (triqs_tprf::chi_wnk_cvt chi_wnk)

Sum over fermionic frequency and momentum in the generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{k})\). (NB! without tail corrections)

Parameters

• chi_wnk: Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k})\) in one bosonic and one fermionic Matsuabara frequency and momentum space.

Return value

Susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega)\) in one bosonic Matsubara frequency.

Documentation

Computes

(1)\[\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k}) = \frac{1}{N_k} \sum_\matbf{k} \frac{1}{\beta^2} \sum_{\nu=\nu_{min}}^\nu_{max} \chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{k})\]