Solution of the Two-Channel Anderson Impurity Model - Implications for the Heavy Fermion UBe$_{13}$ -

TL;DR

This paper solves the two-channel Anderson impurity model exactly using Bethe-Ansatz, revealing non-Fermi liquid behavior relevant to heavy fermion compound UBe$_{13}$ across various regimes.

Contribution

It provides an exact solution for the model's thermodynamics and ground state, elucidating the non-Fermi liquid fixed points and their implications for UBe$_{13}$.

Findings

Identification of a line of non-Fermi liquid fixed points

Calculation of impurity entropy and specific heat across temperatures

Relevance to heavy fermion behavior in UBe$_{13}$

Abstract

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low temperature physics is given by a line of fixed points decribing a two-channel non Fermi liquid behavior in the integral valence regime associated with moment formation as well as in the mixed valence regime where no moment forms. We discuss relevance for the theory of UBe$_{13}$.