Generalized Exclusion Statistics in the Kondo Problem

TL;DR

This paper explores the application of generalized exclusion statistics to the Kondo problem, revealing universal forms of the statistical matrix at different temperature regimes using thermodynamic Bethe ansatz equations.

Contribution

It introduces a relation between scattering phase shifts and generalized exclusion statistics, and demonstrates the universality of the statistical matrix in the Kondo problem.

Findings

Relation between phase shift derivatives and exclusion statistics.

Universal form of the statistical matrix at high and low temperatures.

Application of thermodynamic Bethe ansatz to multicomponent particles.

Abstract

We consider the generalized exclusion statistics in the Kondo problem. The thermodynamic Bethe ansatz equations have been used for a multicomponent system of particles obeying the generalized exclusion principle. We have found a relation between the derivative of the phase shift of the scattering matrix for Fermi particles and for particles characterized by generalized exclusion statistics. We show that the statistical matrix in the Kondo problem has a universal form in high and low temperature limits.