Fermi liquid theory for SU(N) Kondo model

TL;DR

This paper extends Fermi liquid theory for SU(N) Kondo models by including next-to-leading order corrections, enabling accurate low-energy observable calculations and unifying different theoretical approaches.

Contribution

It introduces a comprehensive extension of Fermi liquid theory for SU(N) Kondo models, incorporating higher-order corrections and a novel formulation of the Kondo resonance floating.

Findings

Derived relations between coupling constants and corrections.

Unified the theory with conformal field theory and free energy expansion.

Confirmed analytical agreement with large N approaches.

Abstract

We extend the Fermi liquid theory of Nozi\`eres by introducing the next-to-leading order corrections to the Fermi liquid fixed point. For a general SU(N) Kondo impurity away from half-filling, this extension is necessary to compute observables (resistivity, current or noise) at low energy. Three additional contributions are identified and their coupling constants are related using an original (and more complete) formulation of the Kondo resonance {\it floating}. In the conformal field theory language, a single cubic operator is proposed that produces the same three contributions with the same coupling constants. Comparison with an exact free energy expansion further relates the leading and next-to-leading order corrections so that a single energy scale, the Kondo temperature, eventually governs the low energy regime. We compare our results at large $N$ with the approach of Read and Newns and find analytical agreement.