Concentration dependence of the transition temperature in metallic spin glasses

TL;DR

This paper explains how the transition temperature in metallic spin glasses depends on magnetic impurity concentration using a screened RKKY interaction, unifying observed power laws across different concentration regimes.

Contribution

It provides a unified theoretical explanation for the concentration dependence of transition temperature in metallic spin glasses based on a screened RKKY interaction.

Findings

At low impurity concentration, $T_g$ scales linearly with $c$.

At intermediate concentration, $T_g$ scales as $c^{2/3}$.

The model unifies these behaviors within a single theoretical framework.

Abstract

The dependence of the transition temperature $T_g$ in terms of the concentration of magnetic impurities $c$ in spin glasses is explained on the basis of a screened RKKY interaction. The two observed power laws, $T_g ~ c$ at low $c$ and $T_g ~ c^{2/3}$ for intermediate $c$, are described in a unified approach.