@article{6d6a3068ac044351bac6e2fa24b360a4,
title = "Edge states in quantum Hall effect in graphene (Review Article)",
abstract = "We review recent results concerning the spectrum of edge states in the quantum Hall effect in graphene. In particular, special attention is paid to the derivation of the conditions under which gapless edge states exist in the spectrum of graphene with {"}zigzag{"} and {"}armchair{"} edges. It is found that in the case of a half-plane or a ribbon with 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.",
author = "Gusynin, {V. P.} and Miransky, {V. A.} and Sharapov, {S. G.} and Shovkovy, {I. A.}",
note = "Funding Information: The authors acknowledge helpful discussions with E. V. Gorbar, H. Fertig, I. F. Herbut, M. I. Katsnelson, L. S. Levitov, and B. I. Shklovskii. V.P.G. and S.G.Sh. thank A. K. Geim for a discussion of the experimental data that indicate the existence of the gapless edge states in graphene. The work of V.P.G. was supported by the SCOPES project IB 7320-110848 of the Swiss NSF, the grant 10∕07-N “Nanostructure systems, nanomaterials, nanotechnologies,” the Program of Fundamental Research of the Physics and Astronomy Division of the National Academy of Sciences of Ukraine, and by the State Foundation for Fundamental Research of Ukraine (grant F16-457-2007). The work of V.A.M. was supported by the Natural Sciences and Engineering Research Council of Canada.",
year = "2008",
doi = "10.1063/1.2981387",
language = "English (US)",
volume = "34",
pages = "778--789",
journal = "Low Temperature Physics",
issn = "1063-777X",
publisher = "American Institute of Physics",
number = "10",
}