Solvable Limit for SU(N) Kondo Model

TL;DR

This paper demonstrates an exactly solvable point in a one-dimensional SU(N) Kondo model with an impurity spin, revealing multiple collective excitation modes through bosonization and canonical transformation.

Contribution

It introduces an explicit solvable point in the SU(N) Kondo model and characterizes its excitation modes using analytical methods.

Findings

Existence of an exactly solvable point in the model

Identification of n collective excitation modes

One charged and n-1 neutral spin modes

Abstract

We study a single channel one dimensional Kondo Model where the impurity spin is replaced by an su(n) spin. Using Abelian bosonization and canonical transformation we explicitly show that this system has an exactly solvable point. The calculation also shows that there are $n$ collective excitation modes in the system, one charged and $n-1$ neutral spin excitation modes.