Topological states in strongly correlated systems

TL;DR

This paper reviews topological order in strongly correlated systems, discussing various exotic states like quantum spin liquids, quantum Hall states, and topological superconductivity, along with their classifications and differences from classical topology.

Contribution

It provides a comprehensive overview of topological states in strongly correlated systems, including recent theoretical developments and classifications.

Findings

Discussion of fractionalized Fermi-liquid (FL*) states

Analysis of phase string theories in topological matter

Comparison between quantum and classical topological states

Abstract

Topological order in strongly correlated systems, including quantum spin liquids, quantum Hall states in lattices and topological superconductivity is treated. Various metallic non-Fermi-liquid states are discussed, including fractionalized Fermi-liquid (FL$^*$) and phase string theories. Classification of topological states and differences between quantum and classical topology are considered.