Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems

TL;DR

This review explores the quantum Hall effects in graphene and bilayer graphene, emphasizing recent experimental and theoretical advances, the role of electron interactions, disorder effects, and the connection to anomalous Hall phenomena.

Contribution

It provides a comprehensive overview of the quantum Hall physics in graphene-based systems, highlighting the significance of chiral electron gases and unresolved issues in the field.

Findings

Graphene and bilayer graphene are modeled as J=1 and J=2 chiral electron gases.

Discussions on the impact of electron-electron interactions and disorder.

Analysis of quantum Hall effects at low magnetic fields and potential anomalous Hall effects.

Abstract

In this article we review the quantum Hall physics of graphene based two-dimensional electron systems, with a special focus on recent experimental and theoretical developments. We explain why graphene and bilayer graphene can be viewed respectively as J=1 and J=2 chiral two-dimensional electron gases (C2DEGs), and why this property frames their quantum Hall physics. The current status of experimental and theoretical work on the role of electron-electron interactions is reviewed at length with an emphasis on unresolved issues in the field, including assessing the role of disorder in current experimental results. Special attention is given to the interesting low magnetic field limit and to the relationship between quantum Hall effects and the spontaneous anomalous Hall effects that might occur in bilayer graphene systems in the absence of a magnetic field.