Lattice path integral approach to the one-dimensional Kondo model

TL;DR

This paper develops an integrable impurity model using the Quantum-Inverse-Scattering-Method, enabling exact calculations of free energy contributions and analysis of the Kondo limit with precise temperature scale determinations.

Contribution

It introduces a new integrable Anderson-like impurity model based on a gl(2|1) symmetry, with exact solutions for free energy and temperature scales in the Kondo limit.

Findings

Exact free energy calculations for bulk and impurity

High- and low-temperature scales determined with high accuracy

Kondo limit analyzed within the integrable model

Abstract

An integrable Anderson-like impurity model in a correlated host is derived from a gl(2$|$1)-symmetric transfer matrix by means of the Quantum-Inverse-Scattering-Method (QISM). Using the Quantum Transfer Matrix technique, free energy contributions of both the bulk and the impurity are calculated exactly. As a special case, the limit of a localized moment in a free bulk (Kondo limit) is performed in the Hamiltonian and in the free energy. In this case, high- and low-temperature scales are calculated with high accuracy.