Metallic spin glasses

TL;DR

This paper reviews the phases and phase transitions of metallic spin glasses, introducing a quantum field theory for the transition between metallic quantum paramagnets and metallic spin glasses, with insights from infinite range models.

Contribution

It develops a quantum field theory for metallic spin glass transitions based on infinite range model solutions, advancing understanding of quantum phase behavior in disordered metals.

Findings

Finite temperature phase diagram characterized

Crossover functions computed in mean field theory

Scaling hypotheses formulated from fluctuation analysis

Abstract

Recent work on the zero temperature phases and phase transitions of strongly random electronic system is reviewed. The transition between the spin glass and quantum paramagnet is examined, for both metallic and insulating systems. Insight gained from the solution of infinite range models leads to a quantum field theory for the transition between a metallic quantum paramagnetic and a metallic spin glass. The finite temperature phase diagram is described and crossover functions are computed in mean field theory. A study of fluctuations about mean field leads to the formulation of scaling hypotheses.