Microscopic Calculations of the Finite-Size Spectrum in the Kondo Problem

TL;DR

This paper uses Bethe-ansatz solutions to analyze the finite-size spectrum in various Kondo-related models, confirming Fermi liquid behavior and aligning with boundary conformal field theory predictions.

Contribution

It provides a microscopic calculation of the finite-size spectrum in Kondo models, demonstrating Fermi liquid properties across different models.

Findings

Spectra exhibit Fermi liquid fixed point characteristics.

Results agree with boundary conformal field theory.

Applicable to Anderson and s-d exchange models.

Abstract

The finite-size spectrum in the Kondo problem is obtained from the Bethe-ansatz solution of the exactly solved models. We investigate the Anderson model, the highly correlated SU($\nu$) Anderson model and the {\it s-d} exchange model. For all these models we find that the spectra exhibit the properties characteristic of the Fermi liquid fixed point, and hence our microscopic calculations are in accordance with the results obtained by boundary conformal field theory with current algebra symmetry.