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Electronic properties and the quantum Hall effect in bilayer graphene

Research output: Contribution to journalJournal article

Published

Journal publication date28/01/2008
JournalPhilosophical Transactions A: Mathematical, Physical and Engineering Sciences
Journal number1863
Volume366
Number of pages14
Pages205-218
Original languageEnglish

Abstract

In this paper, I review the quantum Hall effect (QHE) and far-infra red ( FIR) absorption properties of bilayer graphene in a strong magnetic field. 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 groundstates of the bilayer QHE system based on the different absorption characteristics of right- and left-handed polarization of FIR light. Finally, the effects of trigonal warping are taken into account in the absorption picture.