chi_w0r_from_chi_tr

Synopsis:

triqs_tprf::chi_wr_t chi_w0r_from_chi_tr (triqs_tprf::chi_tr_cvt chi_tr)

Static susceptibility calculation \(\chi_{\bar{a}b\bar{c}d}(\omega=0, \mathbf{r})\)

Parameters

• chi_tr: Generalized susceptibility \(\chi_{\bar{a}b\bar{c}d}(\tau, \mathbf{r})\)

  in imaginary time and real space.

Return value

Generalized susceptibility \(\chi_{\bar{a}b\bar{c}d}(\omega=0, \mathbf{r})\)

at zero Matsubara frequency and real-space.

Documentation

Explicit calculation of the static, zero frequency response, by 2nd order trapetzoidal integration in imaginary time, i.e.

(1)\[\chi_{\bar{a}b\bar{c}d}(\omega=0, \mathbf{r}) = \int_0^\beta d\tau \, \chi_{\bar{a}b\bar{c}d}(\tau, \mathbf{r})\]