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Electronic properties of monolayer and bilayer graphene

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date2012
Host publicationGraphene Nanoelectronics: Metrology, Synthesis, Properties and Applications
EditorsHassan Raza
Place of publicationBerlin Heidelberg
PublisherSpringer Verlag
Pages237-275
Number of pages39
ISBN (Electronic)978-3-642-22984-8
ISBN (Print)978-3-642-20467-8
Original languageEnglish

Publication series

NameNanoScience and Technology
ISSN (Print)1434-4904

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.