Anomalous Transport Behavior in Quantum Magnets

TL;DR

This paper reviews the unusual low-temperature electrical resistivity power-law behavior in quantum magnets, discussing experimental observations and theoretical explanations, and comparing it with similar phenomena in other systems.

Contribution

It provides a comprehensive pedagogical overview of anomalous transport in quantum magnets, highlighting recent experimental findings and theoretical models.

Findings

Power-law resistivity observed in magnetic and nonmagnetic phases.

Theoretical understanding of the low-temperature transport behavior.

Comparison with similar phenomena in other physical systems.

Abstract

Transport behavior characterized by a low-temperature electrical resistivity that displays a power-law behavior $\rho(T\to 0) \propto T^s$ with an exponent $s<2$, is commonly observed in magnetic materials in both the magnetic and nonmagnetic phases. We give a pedagogical overview of this phenomenon that summarizes both the experimental situation and the state of its theoretical understanding. We also put it in context by drawing parallels with unusual power-law transport behavior in other systems.