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Landau level degeneracy and quantum Hall effect in a graphite bilayer.

McCann, Edward and Fal’ko, Vladimir I. (2006) Landau level degeneracy and quantum Hall effect in a graphite bilayer. Physical Review Letters, 96 (8). 086805. ISSN 1079-7114

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    Abstract

    We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase 2pi. Its high-magnetic-field Landau level spectrum consists of almost equidistant groups of four-fold degenerate states at finite energy and eight zero-energy states. This can be translated into the Hall conductivity dependence on carrier density, sigma_xy(N), which exhibits plateaus at integer values of 4e^2/h and has a “double” 8e^2/h step between the hole and electron gases across zero density, in contrast to (4n + 2)e^2/h sequencing in a monolayer.

    Item Type: Article
    Journal or Publication Title: Physical Review Letters
    Additional Information: ©2006 The American Physical Society
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 30828
    Deposited By: Dr Edward McCann
    Deposited On: 08 Dec 2009 11:38
    Refereed?: No
    Published?: Published
    Last Modified: 26 Jul 2012 16:50
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/30828

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