Kondo Effect in Fermi Systems with a Gap: A Renormalization Group Study

TL;DR

This paper investigates the Kondo effect in gapped Fermi systems using Wilson Renormalization Group methods, analyzing impurity behavior and correlation functions in symmetric and asymmetric cases.

Contribution

It provides a detailed RG analysis of Kondo and Anderson models in gapped systems, including impurity susceptibility and correlation functions, highlighting effects of particle-hole symmetry.

Findings

Impurity susceptibility varies with gap and symmetry.

Correlation functions differ between symmetric and asymmetric models.

Zero-frequency response function behavior is characterized.

Abstract

We present the results of a Wilson Renormalization Group study of the single-impurity Kondo and Anderson models in a system with a gap in the conduction electron spectrum. The behavior of the impurity susceptibility and the zero-frequency response function, $T<<S_z; S_z>>$ are discussed in the cases with and without particle-hole symmetry. In addition, for the asymmetric Anderson model the correlation functions, $<\vec S \cdot\vec \sigma (0)>$,$<n_d>$, and $<n_d(2-n_d)>$ are computed.