Landau-level degeneracy and quantum hall effect in a graphite bilayer

Edward McCann, Vladimir I. Fal'ko

    Research output: Contribution to journalArticlepeer-review

    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 2π. Its high-magnetic-field Landau-level spectrum consists of almost equidistant groups of fourfold degenerate states at finite energy and eight zero-energy states. This can be translated into the Hall conductivity dependence on carrier density, σxy(N), which exhibits plateaus at integer values of 4e2/h and has a double 8e2/h step between the hole and electron gases across zero density, in contrast to (4n+2)e2/h sequencing in a monolayer.

    Original languageEnglish
    Article number086805
    JournalPhysical Review Letters
    Volume96
    Issue number8
    DOIs
    Publication statusPublished - 2006

    Research Beacons, Institutes and Platforms

    • National Graphene Institute

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