Non Fermi Liquid Behaviour near a $T=0$ spin-glass transition

TL;DR

This paper investigates the non-Fermi liquid behavior emerging near a zero-temperature spin-glass quantum critical point, focusing on the interplay of Kondo and RKKY interactions in a metallic system.

Contribution

It provides a mean-field analysis of physical quantities showing non-analytic corrections and non-Fermi liquid dependencies close to the quantum critical point.

Findings

Non-analytic corrections to specific heat and susceptibility.

Non-Fermi liquid temperature dependence of resistivity.

Non-Fermi liquid behavior of NMR relaxation rate.

Abstract

In this paper we study the competition between the Kondo effect and RKKY interactions near the zero-temperature quantum critical point of an Ising-like metallic spin-glass. We consider the mean-field behaviour of various physical quantities. In the `quantum- critical regime' non-analytic corrections to the Fermi liquid behaviour are found for the specific heat and uniform static susceptibility, while the resistivity and NMR relaxation rate have a non-Fermi liquid dependence on temperature.