Electronic properties of monolayer and bilayer graphene
arXiv:1205.4849 · doi:10.1007/978-3-642-22984-8_8
Abstract
The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how their chirality is manifest in the sequencing of plateaus observed in the integer quantum Hall effect. The opening of a tuneable band gap in bilayer graphene in response to a transverse electric field is described, and we explain how Hartree theory may be used to develop a simple analytical model of screening.
tutorial-style introduction, 40 pages, 17 figures
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Cited by in corpus (6)
- Theoretical methods for excitonic physics in two-dimensional materials
- Valley-polarization in biased bilayer graphene using circularly polarized light
- Vortex Solutions and a Novel Role for R-parity in an N=2-Supersymmetric Model for Graphene
- Merging of Dirac points through uniaxial modulation on an optical lattice
- Direct visualization of gate-tunable flat bands in twisted double bilayer graphene
- Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene