Home > Research > Publications & Outputs > QHE and far infra-red properties of bilayer gra...
View graph of relations

QHE and far infra-red properties of bilayer graphene in a strong magnetic field.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

QHE and far infra-red properties of bilayer graphene in a strong magnetic field. / Abergel, David S. L.; McCann, Edward; Falko, Vladimir.

In: European Physical Journal - Special Topics, Vol. 148, No. 1, 09.2007, p. 105-115.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Abergel, DSL, McCann, E & Falko, V 2007, 'QHE and far infra-red properties of bilayer graphene in a strong magnetic field.', European Physical Journal - Special Topics, vol. 148, no. 1, pp. 105-115. https://doi.org/10.1140/epjst/e2007-00230-8

APA

Vancouver

Abergel DSL, McCann E, Falko V. QHE and far infra-red properties of bilayer graphene in a strong magnetic field. European Physical Journal - Special Topics. 2007 Sep;148(1):105-115. doi: 10.1140/epjst/e2007-00230-8

Author

Abergel, David S. L. ; McCann, Edward ; Falko, Vladimir. / QHE and far infra-red properties of bilayer graphene in a strong magnetic field. In: European Physical Journal - Special Topics. 2007 ; Vol. 148, No. 1. pp. 105-115.

Bibtex

@article{3070ca33d2fd486b8964860d3e3d84a5,
title = "QHE and far infra-red properties of bilayer graphene in a strong magnetic field.",
abstract = "We describe the quantum Hall effect (QHE) and far infra-red (FIR) absorption properties of bilayer graphene in a strong magnetic field and contrast them with the weak field regime. 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 ground states of the bilayer quantum Hall effect system based on the different absorption characteristics of right-handed and left-handed polarisation of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.",
author = "Abergel, {David S. L.} and Edward McCann and Vladimir Falko",
year = "2007",
month = sep,
doi = "10.1140/epjst/e2007-00230-8",
language = "English",
volume = "148",
pages = "105--115",
journal = "European Physical Journal - Special Topics",
issn = "1951-6355",
publisher = "EDP SCIENCES S A",
number = "1",

}

RIS

TY - JOUR

T1 - QHE and far infra-red properties of bilayer graphene in a strong magnetic field.

AU - Abergel, David S. L.

AU - McCann, Edward

AU - Falko, Vladimir

PY - 2007/9

Y1 - 2007/9

N2 - We describe the quantum Hall effect (QHE) and far infra-red (FIR) absorption properties of bilayer graphene in a strong magnetic field and contrast them with the weak field regime. 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 ground states of the bilayer quantum Hall effect system based on the different absorption characteristics of right-handed and left-handed polarisation of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.

AB - We describe the quantum Hall effect (QHE) and far infra-red (FIR) absorption properties of bilayer graphene in a strong magnetic field and contrast them with the weak field regime. 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 ground states of the bilayer quantum Hall effect system based on the different absorption characteristics of right-handed and left-handed polarisation of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.

U2 - 10.1140/epjst/e2007-00230-8

DO - 10.1140/epjst/e2007-00230-8

M3 - Journal article

VL - 148

SP - 105

EP - 115

JO - European Physical Journal - Special Topics

JF - European Physical Journal - Special Topics

SN - 1951-6355

IS - 1

ER -