The electronic properties of bilayer graphene

TL;DR

This paper reviews the electronic properties of bilayer graphene, covering theoretical models, band structure, optical and transport phenomena, and interaction effects, providing a comprehensive overview of its physical characteristics.

Contribution

It offers a detailed review of the tight-binding and effective Hamiltonian models, including effects of asymmetry, screening, and external gates on bilayer graphene's electronic properties.

Findings

Derivation of low-energy quasiparticle bands

Analysis of band gaps induced by asymmetry and gating

Discussion of quantum Hall effect and magnetism in bilayer graphene

Abstract

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic bands at low energy. We take into account five tight-binding parameters of the Slonczewski-Weiss-McClure model of bulk graphite plus intra- and interlayer asymmetry between atomic sites which induce band gaps in the low-energy spectrum. The Hartree model of screening and band-gap opening due to interlayer asymmetry in the presence of external gates is presented. The tight-binding model is used to describe optical and transport properties including the integer quantum Hall effect, and we also discuss orbital magnetism, phonons and the influence of strain on electronic properties. We conclude with an overview of electronic interaction effects.