Temperature evolution of the Kondo peak beyond Fermi liquid theory

TL;DR

This paper extends Fermi liquid theory to describe the temperature evolution of the Kondo peak beyond low-energy regimes, providing analytic expressions that match numerical data and enable precise determination of Kondo parameters.

Contribution

The authors develop an extended Fermi liquid framework with an ansatz for the impurity self-energy, accurately capturing the Kondo peak's temperature dependence beyond traditional limits.

Findings

Analytic expressions match numerical renormalization group data.

The method enables precise extraction of Kondo temperature from finite temperature measurements.

The approach extends the applicability of Fermi liquid theory to higher temperatures.

Abstract

The limitation of Fermi liquid theory to very low energies and temperatures poses a fundamental problem for describing the temperature evolution of the Kondo peak. Here Fermi liquid theory for the single impurity Anderson model is extended beyond the low-energy and low-temperature regime by means of an ansatz for the impurity self-energy based on the accurate description of the Kondo peak by the Frota function, the similarity between energy and temperature in the second-order self-energy, and by exploiting Fermi liquid conditions. Analytic expressions for the temperature dependence of the Kondo peak height and width derived from this ansatz are in excellent agreement with numerical renormalization group data for temperatures beyond the Kondo temperature. The derived expression thus allows to unambiguously determine the intrinsic Kondo peak width and Kondo temperature from finite temperature measurements of the Kondo resonance.