Edge states in quantum Hall effect in graphene

V. P. Gusynin, V. A. Miransky, S. G. Sharapov, I. A. Shovkovy

Research output: Contribution to journalReview articlepeer-review

11 Scopus citations

Abstract

We review recent results concerning the spectrum of edge states in the quantum. Hall effect in graphene. In particular, a special attention is payed to the derivation of the conditions under which gapless edge states exist in the spectrum, of graphene with zigzag and armchair edges. We find that in the case of a half-plane or a ribbon with a zigzag edges, there are gapless edge states only when a spin gap dominates over a Dirac mass gap. In the case of a half-plane with an armchair edge, the existence of the gapless edge states depends on the specific type of Dirac mass gaps. The implications of these results for the dynamics in the quantum Hall effect in graphene are discussed.

Original languageEnglish (US)
Pages (from-to)993-1006
Number of pages14
JournalFizika Nizkikh Temperatur (Kharkov)
Volume34
Issue number10
StatePublished - Oct 1 2008
Externally publishedYes

Keywords

  • Dirac mass gap
  • Graphene
  • Quantum Hall effect

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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