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Edge states in quantum Hall effect in graphene (Review Article)
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| dc.contributor.author | Gusynin, V.P. | |
| dc.contributor.author | Miransky, V.A. | |
| dc.contributor.author | Sharapov, S.G. | |
| dc.contributor.author | Shovkovy, I.A. | |
| dc.date.accessioned | 2017-05-24T18:05:13Z | |
| dc.date.available | 2017-05-24T18:05:13Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | Edge states in quantum Hall effect in graphene (Review Article) / V.P. Gusynin, V.A. Miransky, S.G. Sharapov, I.A. Shovkovy // Физика низких температур. — 2008. — Т. 34, № 10. — С. 993-1006. — Бібліогр.: 52 назв. — англ. | uk_UA |
| dc.identifier.issn | 0132-6414 | |
| dc.identifier.other | PACS: 73.43.Cd;71.70.Di;81.05.Uw | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/117555 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | The authors acknowledge useful 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 the 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України | uk_UA |
| dc.relation.ispartof | Физика низких температур | |
| dc.subject | Graphene and graphite multilayers | uk_UA |
| dc.title | Edge states in quantum Hall effect in graphene (Review Article) | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
