Two-scale analysis of the SU(N) Kondo Model

TL;DR

This paper introduces a self-consistent method to analyze low-energy features in the SU(N) Kondo model, extending Roth's approach to better resolve complex spectral structures across energy scales.

Contribution

It develops a generalized, fully self-consistent framework for composite particle operators applicable to the SU(N) Kondo model, enhancing analysis of low-energy phenomena.

Findings

Successfully derives self-consistent equations for the SU(N) Kondo model

Provides a method to resolve low-energy features within a broad background

Extends Roth's linearization approach to a fully self-consistent formulation

Abstract

We show how to resolve coherent low-energy features embedded in a broad high-energy background by use of a fully self-consistent calculation for composite particle operators. The method generalizes the formulation of Roth, which linearizes the dynamics of composite operators at any energy scale. Self-consistent equations are derived and analyzed in the case of the single-impurity SU(N) Kondo model.