triqs_modest.atomic_levels_and_delta

Impurity levels and hybridization function.

Compute the hybridziation function

\[[ \Delta^{\sigma} ]_{m m'} = \omega -\tilde{\varepsilon} - G_{\mathrm{loc}}^{-1}(\omega) - \Sigma_{\mathrm{imp}}(\omega),\]

where \(\omega\) is a frequency, \(\tilde{\varepsilon}\) are the effective local levels of the impurity, and \(\Sigma_{\mathrm{imp}}\) is the impurity self-energy.

The effecitve local levels are defined as:

\[\tilde{\varepsilon} = \varepsilon - \mu - \Sigma_{\mathrm{DC}},\]

where \(\mu\) is the chemical potential and \(\Sigma_{\mathrm{DC}}\) is the double counting self-energy.

Functions

hybridization	Compute the hybridization function from the effective impurity levels, the local Green's function, and the impurity self-energy.
impurity_levels	Compute the atomic (impurity) levels from an obe.