The European Physical Journal Special Topics

, Volume 148, Issue 1, pp 105–115

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

  • D. S.L. Abergel
  • E. McCann
  • V. I. Fal'ko
Article

DOI: 10.1140/epjst/e2007-00230-8

Cite this article as:
Abergel, D., McCann, E. & Fal'ko, V. Eur. Phys. J. Spec. Top. (2007) 148: 105. doi:10.1140/epjst/e2007-00230-8

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.

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • D. S.L. Abergel
    • 1
  • E. McCann
    • 1
  • V. I. Fal'ko
    • 1
  1. 1.Physics DepartmentLancaster UniversityLancasterUK