Parameter: nbfrq

Definition

Number of bosonic Matsubara frequency points for the two-particle green's function.

The two-particle Green's function $\chi(i\omega_n, i\omega'_n, i\nu_n)$ and vertex function $\mathcal{F}(i\omega_n, i\omega'_n, i\nu_n)$ have three frequency indices where $\omega_n$ and $\omega'_n$ are fermionic frequencies, and $\nu_n$ bosonic frequency:

\[\nu_n = \frac{2n\pi}{\beta}\]

\[\omega_n = \frac{(2n+1)\pi}{\beta}\]

The nbfrq parameter is used to define and generate $\nu_n$ bosonic mesh. The corresponding $\omega_n$ fermionic mesh is defined by the nffrq parameter.

Type

Integer

Default value

8

Component

Only for the GARDENIA, NARCISSUS, CAMELLIA, LAVENDER, and MANJUSHAKA components.

Behavior

Determine the size of involved arrays. Only useful when we need to compute the two-particle quantities.

Comment

If the nbfrq is too large, the computational time is not bearable. So we recommend to set nbfrq $\leq 32$ The computation of two-particle quantities is extremely time-consuming, though we have tried our best optimizing it.

See nffrq and nfreq for more details.