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The low energy electronic band structure of bilayer graphene.

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The low energy electronic band structure of bilayer graphene. / McCann, Edward; Abergel, David S. L.; Falko, Vladimir.
In: European Physical Journal - Special Topics, Vol. 148, No. 1, 09.2007, p. 91-103.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

McCann, E, Abergel, DSL & Falko, V 2007, 'The low energy electronic band structure of bilayer graphene.', European Physical Journal - Special Topics, vol. 148, no. 1, pp. 91-103. https://doi.org/10.1140/epjst/e2007-00229-1

APA

McCann, E., Abergel, D. S. L., & Falko, V. (2007). The low energy electronic band structure of bilayer graphene. European Physical Journal - Special Topics, 148(1), 91-103. https://doi.org/10.1140/epjst/e2007-00229-1

Vancouver

McCann E, Abergel DSL, Falko V. The low energy electronic band structure of bilayer graphene. European Physical Journal - Special Topics. 2007 Sept;148(1):91-103. doi: 10.1140/epjst/e2007-00229-1

Author

McCann, Edward ; Abergel, David S. L. ; Falko, Vladimir. / The low energy electronic band structure of bilayer graphene. In: European Physical Journal - Special Topics. 2007 ; Vol. 148, No. 1. pp. 91-103.

Bibtex

@article{8922971d33ed48efbbc12fe066be99e9,
title = "The low energy electronic band structure of bilayer graphene.",
abstract = "We employ the tight binding model to describe the electronic band structure of bilayer graphene and we explain how the optical absorption coefficient of a bilayer is influenced by the presence and dispersion of the electronic bands, in contrast to the featureless absorption coefficient of monolayer graphene. We show that the effective low energy Hamiltonian is dominated by chiral quasiparticles with a parabolic dispersion and Berry phase 2π. Layer asymmetry produces a gap in the spectrum but, by comparing the charging energy with the single particle energy, we demonstrate that an undoped, gapless bilayer is stable with respect to the spontaneous opening of a gap. Then, we describe the control of a gap in the presence of an external gate voltage. Finally, we take into account the influence of trigonal warping which produces a Lifshitz transition at very low energy, breaking the isoenergetic line about each valley into four pockets.",
author = "Edward McCann and Abergel, {David S. L.} and Vladimir Falko",
note = "The original publication is available at www.springerlink.com",
year = "2007",
month = sep,
doi = "10.1140/epjst/e2007-00229-1",
language = "English",
volume = "148",
pages = "91--103",
journal = "European Physical Journal - Special Topics",
issn = "1951-6355",
publisher = "EDP SCIENCES S A",
number = "1",

}

RIS

TY - JOUR

T1 - The low energy electronic band structure of bilayer graphene.

AU - McCann, Edward

AU - Abergel, David S. L.

AU - Falko, Vladimir

N1 - The original publication is available at www.springerlink.com

PY - 2007/9

Y1 - 2007/9

N2 - We employ the tight binding model to describe the electronic band structure of bilayer graphene and we explain how the optical absorption coefficient of a bilayer is influenced by the presence and dispersion of the electronic bands, in contrast to the featureless absorption coefficient of monolayer graphene. We show that the effective low energy Hamiltonian is dominated by chiral quasiparticles with a parabolic dispersion and Berry phase 2π. Layer asymmetry produces a gap in the spectrum but, by comparing the charging energy with the single particle energy, we demonstrate that an undoped, gapless bilayer is stable with respect to the spontaneous opening of a gap. Then, we describe the control of a gap in the presence of an external gate voltage. Finally, we take into account the influence of trigonal warping which produces a Lifshitz transition at very low energy, breaking the isoenergetic line about each valley into four pockets.

AB - We employ the tight binding model to describe the electronic band structure of bilayer graphene and we explain how the optical absorption coefficient of a bilayer is influenced by the presence and dispersion of the electronic bands, in contrast to the featureless absorption coefficient of monolayer graphene. We show that the effective low energy Hamiltonian is dominated by chiral quasiparticles with a parabolic dispersion and Berry phase 2π. Layer asymmetry produces a gap in the spectrum but, by comparing the charging energy with the single particle energy, we demonstrate that an undoped, gapless bilayer is stable with respect to the spontaneous opening of a gap. Then, we describe the control of a gap in the presence of an external gate voltage. Finally, we take into account the influence of trigonal warping which produces a Lifshitz transition at very low energy, breaking the isoenergetic line about each valley into four pockets.

U2 - 10.1140/epjst/e2007-00229-1

DO - 10.1140/epjst/e2007-00229-1

M3 - Journal article

VL - 148

SP - 91

EP - 103

JO - European Physical Journal - Special Topics

JF - European Physical Journal - Special Topics

SN - 1951-6355

IS - 1

ER -