Asymptotically exact solution of the multi-channel resonant-level model

TL;DR

This paper derives an asymptotically exact partition function for the multi-channel resonant-level model, revealing a transition between Fermi-liquid and non-Fermi-liquid states driven by Kondo and X-ray edge physics, using bosonization and renormalization group methods.

Contribution

It provides the first asymptotically exact solution for the partition function of the multi-channel resonant-level model, clarifying the phase transition mechanisms.

Findings

Identifies the Fermi-liquid to non-Fermi-liquid transition.

Derives the partition function using bosonization techniques.

Shows the model renormalizes to the Toulouse limit in strong coupling.

Abstract

An asymptotically exact partition function of the multi-channel resonant-level model is obtained through Tomonaga-Luttinger bosonization. A Fermi-liquid vs non-Fermi-liquid transition, resulting from a competition between the Kondo and X-ray edge physics, is elucidated explicitly via the renormalization group theory. In the strong-coupling limit, the model is renormalized to the Toulouse limit.