The quantum anomalous Hall effect

Abstract

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may have potential applications in future electronic devices. In recent years, quantum anomalous Hall effect has been proposed theoretically and realized experimentally. In this review article, we provide a systematic overview of the theoretical and experimental developments in this field.

12 pages, 7 figures, Invited review for `Annual Review of Condensed Matter Physics'

References in corpus (5)

• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
• Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators

Cited by in corpus (11)

• Quantum anomalous Hall effect in atomic crystal layers from in-plane magnetization
• Designing light-element materials with large effective spin-orbit coupling
• Edge State Induced Andreev Oscillation in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Anderson Localization from Berry-Curvature Interchange in Quantum Anomalous Hall System
• Quantum Entangled Fractional Topology and Curvatures
• Anomalous Hall Effect on the surface of topological Kondo insulators
• Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Models for $d$ Wave Topological Superconductors and Quantum Anomalous Hall Effect with Arbitrary Large Chern Numbers
• Simple Models for All Topological Phases