Anderson Transitions: Criticality, Symmetries, and Topologies

TL;DR

This paper reviews the critical phenomena, symmetries, and topological aspects of Anderson transitions, elucidating their role in phase diagrams and critical behavior in disordered systems.

Contribution

It provides a comprehensive overview of the interplay between criticality, symmetries, and topologies in Anderson transitions, highlighting recent advances and conceptual frameworks.

Findings

Identification of key symmetries influencing Anderson transitions

Role of topological properties in phase diagram classification

Insights into critical behavior near transition points

Abstract

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. We focus on the character of criticality as well as on underlying symmetries and topologies that are crucial for understanding phase diagrams and the critical behavior.