High-frequency asymptotic behavior of self-energies in quantum impurity models

TL;DR

This paper derives explicit high-frequency asymptotic expressions for electron self-energies in quantum impurity models, aiding computational convergence and analytic continuation, with specific results for multi-orbital interactions relevant to transition metal oxides.

Contribution

It provides new explicit formulas for high-frequency behavior of self-energies in quantum impurity models, including multi-orbital interactions, improving computational methods.

Findings

Explicit high-frequency asymptotic expressions derived.

Results tailored for two- and three-orbital Slater-Kanamori interactions.

Facilitates calculations for transition metal oxides.

Abstract

We present explicit expressions for the high-frequency asymptotic behavior of electron self-energy of general quantum impurity models, which may be useful for improving the convergence of dynamical mean-field calculations and for the analytic continuation of the electron self-energy. We also give results, expressed in more physical terms, for the two-orbital and three-orbital rotationally invariant Slater-Kanamori interactions, in order to facilitate calculations of transition metal oxides.