Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
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TY - CHAP
T1 - Electronic properties of monolayer and bilayer graphene
AU - McCann, Edward
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-642-22984-8
DO - 10.1007/978-3-642-22984-8
M3 - Chapter
SN - 978-3-642-20467-8
T3 - NanoScience and Technology
SP - 237
EP - 275
BT - Graphene Nanoelectronics
A2 - Raza, Hassan
PB - Springer Verlag
CY - Berlin Heidelberg
ER -