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Electronic properties and the quantum Hall effect in bilayer graphene

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Electronic properties and the quantum Hall effect in bilayer graphene. / Falko, Vladimir.
In: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences , Vol. 366, No. 1863, 28.01.2008, p. 205-218.

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

Harvard

Falko, V 2008, 'Electronic properties and the quantum Hall effect in bilayer graphene', Philosophical Transactions A: Mathematical, Physical and Engineering Sciences , vol. 366, no. 1863, pp. 205-218. https://doi.org/10.1098/rsta.2007.2156

APA

Falko, V. (2008). Electronic properties and the quantum Hall effect in bilayer graphene. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences , 366(1863), 205-218. https://doi.org/10.1098/rsta.2007.2156

Vancouver

Falko V. Electronic properties and the quantum Hall effect in bilayer graphene. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences . 2008 Jan 28;366(1863):205-218. doi: 10.1098/rsta.2007.2156

Author

Falko, Vladimir. / Electronic properties and the quantum Hall effect in bilayer graphene. In: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences . 2008 ; Vol. 366, No. 1863. pp. 205-218.

Bibtex

@article{f19e5e42d6a5405ea6fd13f24f545492,
title = "Electronic properties and the quantum Hall effect in bilayer graphene",
abstract = "In this paper, I review the quantum Hall effect (QHE) and far-infra red ( FIR) absorption properties of bilayer graphene in a strong magnetic field. This includes a derivation of the effective low-energy Hamiltonian for this system and the consequences of this Hamiltonian for the sequencing of the Landau levels in the material: the form of this effective Hamiltonian gives rise to the presence of a level with doubled degeneracy at zero energy. The effect of a potential difference between the layer of a bilayer is also investigated. It is found that there is a density-dependent gap near the K points in the band structure. The consequences of this gap on the QHE are then described. Also, the magneto-absorption spectrum is investigated and an experiment proposed to distinguish between model groundstates of the bilayer QHE system based on the different absorption characteristics of right- and left-handed polarization of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.",
keywords = "graphene, quantum Hall effect, electronic properties",
author = "Vladimir Falko",
year = "2008",
month = jan,
day = "28",
doi = "10.1098/rsta.2007.2156",
language = "English",
volume = "366",
pages = "205--218",
journal = "Philosophical Transactions A: Mathematical, Physical and Engineering Sciences ",
issn = "1364-503X",
publisher = "Royal Society of London",
number = "1863",

}

RIS

TY - JOUR

T1 - Electronic properties and the quantum Hall effect in bilayer graphene

AU - Falko, Vladimir

PY - 2008/1/28

Y1 - 2008/1/28

N2 - In this paper, I review the quantum Hall effect (QHE) and far-infra red ( FIR) absorption properties of bilayer graphene in a strong magnetic field. This includes a derivation of the effective low-energy Hamiltonian for this system and the consequences of this Hamiltonian for the sequencing of the Landau levels in the material: the form of this effective Hamiltonian gives rise to the presence of a level with doubled degeneracy at zero energy. The effect of a potential difference between the layer of a bilayer is also investigated. It is found that there is a density-dependent gap near the K points in the band structure. The consequences of this gap on the QHE are then described. Also, the magneto-absorption spectrum is investigated and an experiment proposed to distinguish between model groundstates of the bilayer QHE system based on the different absorption characteristics of right- and left-handed polarization of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.

AB - In this paper, I review the quantum Hall effect (QHE) and far-infra red ( FIR) absorption properties of bilayer graphene in a strong magnetic field. This includes a derivation of the effective low-energy Hamiltonian for this system and the consequences of this Hamiltonian for the sequencing of the Landau levels in the material: the form of this effective Hamiltonian gives rise to the presence of a level with doubled degeneracy at zero energy. The effect of a potential difference between the layer of a bilayer is also investigated. It is found that there is a density-dependent gap near the K points in the band structure. The consequences of this gap on the QHE are then described. Also, the magneto-absorption spectrum is investigated and an experiment proposed to distinguish between model groundstates of the bilayer QHE system based on the different absorption characteristics of right- and left-handed polarization of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.

KW - graphene

KW - quantum Hall effect

KW - electronic properties

U2 - 10.1098/rsta.2007.2156

DO - 10.1098/rsta.2007.2156

M3 - Journal article

VL - 366

SP - 205

EP - 218

JO - Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

SN - 1364-503X

IS - 1863

ER -