Electronic properties of monolayer and bilayer graphene

McCann, Edward (2012) Electronic properties of monolayer and bilayer graphene. In: Graphene Nanoelectronics : Metrology, Synthesis, Properties and Applications. NanoScience and Technology . Springer Verlag, Berlin Heidelberg, pp. 237-275. ISBN 978-3-642-20467-8

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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.

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23 Apr 2013 14:30
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16 Jul 2024 03:09