triqs_tprf::chi0q_from_g_wk_PH

#include <triqs_tprf.hpp>

Synopsis

chi_wnk_t chi0q_from_g_wk_PH (int nw, int nn, g_wk_cvt g_wk)

Generalized susceptibility bubble in the particle-hole channel \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{q})\) with convolution in k-space.

Computes

\[\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{q}) = - \frac{\beta}{N_k} \sum_\mathbf{k} G_{d\bar{a}}(\nu, \mathbf{k}) \cdot G_{b\bar{c}}(\nu + \omega, \mathbf{k} - \mathbf{q})\]

Parameters

• nw Number of bosonic Matsubara freqiencies.

• nn Number of fermionic Matsubara freqiencies.

• g_tr Imaginary time Green’s function in real-space, \(G_{a\bar{b}}(\nu, \mathbf{r})\).

Returns

Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{r})\) in one bosonic and one fermionic Matsuabara frequency and real-space.