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

Abergel, David S. L. and McCann, Edward and Falko, Vladimir (2007) QHE and far infra-red properties of bilayer graphene in a strong magnetic field. European Physical Journal - Special Topics, 148 (1). pp. 105-115. ISSN 1951-6355

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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.

Item Type: Journal Article
Journal or Publication Title: European Physical Journal - Special Topics
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Departments: Faculty of Science and Technology > Physics
ID Code: 11374
Deposited By: Dr Edward McCann
Deposited On: 14 Aug 2008 08:33
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 06:04
URI: https://eprints.lancs.ac.uk/id/eprint/11374

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