Localization effects in disordered Kondo lattices

TL;DR

This paper explores how localization influences the distribution of Kondo temperatures in disordered Kondo lattices, revealing universal behavior and Griffiths phase formation due to disorder-induced fluctuations.

Contribution

It introduces a self-consistent approach showing the impact of localization effects on Kondo temperature distributions, highlighting universal and Griffiths phase regimes.

Findings

Kondo temperature distribution becomes universal log-normal under moderate disorder

Localization effects significantly alter the thermodynamic responses

System enters Griffiths phase with diverging responses at high disorder

Abstract

We investigate the role of localization effects in the Kondo disorder mechanism for non-Fermi liquid behavior in disordered Kondo lattices. We find that the distribution of Kondo temperatures is strongly affected by fluctuations of the conduction electron density of states, a feature neglected in the previous treatment. For moderate disorder, the self-consistent distribution of Kondo temperatures flows to a universal log-normal form, irrespective of the form of the bare disorder distribution. For sufficient disorder, the system enters a Griffiths phase with diverging thermodynamic responses.