The anisotropic multichannel spin-$S$ Kondo model: Calculation of scales from a novel exact solution

TL;DR

This paper introduces a novel exact solution for the multichannel spin-$S$ Kondo model, enabling precise calculation of temperature scales through a lattice path integral approach applicable to various anisotropic exchange interactions.

Contribution

It presents a new exact solution method for the multichannel spin-$S$ Kondo model using a lattice path integral approach, extending to anisotropic $XXZ$-type interactions.

Findings

Accurate determination of high- and low-temperature scales.

Solution encompasses isotropic $XXX$ limit.

Provides a finite set of non-linear integral equations.

Abstract

A novel exact solution of the multichannel spin-$S$ Kondo model is presented, based on a lattice path integral approach of the single channel spin-1/2 case. The spin exchange between the localized moment and the host is of $XXZ$-type, including the isotropic $XXX$ limit. The free energy is given by a finite set of non-linear integral equations, which allow for an accurate determination of high- and low-temperature scales.