Edge states in quantum Hall effect in graphene (Review Article)
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.W...
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| Published in: | Физика низких температур |
|---|---|
| Date: | 2008 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117555 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862740797790617600 |
|---|---|
| author | Gusynin, V.P. Miransky, V.A. Sharapov, S.G. Shovkovy, I.A. |
| author_facet | Gusynin, V.P. Miransky, V.A. Sharapov, S.G. Shovkovy, I.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | 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.
|
| first_indexed | 2025-12-07T20:16:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117555 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T20:16:42Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gusynin, V.P. Miransky, V.A. Sharapov, S.G. Shovkovy, I.A. 2017-05-24T18:05:13Z 2017-05-24T18:05:13Z 2008 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. 0132-6414 PACS: 73.43.Cd;71.70.Di;81.05.Uw https://nasplib.isofts.kiev.ua/handle/123456789/117555 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. 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Graphene and graphite multilayers Edge states in quantum Hall effect in graphene (Review Article) Article published earlier |
| spellingShingle | Edge states in quantum Hall effect in graphene (Review Article) Gusynin, V.P. Miransky, V.A. Sharapov, S.G. Shovkovy, I.A. Graphene and graphite multilayers |
| title | Edge states in quantum Hall effect in graphene (Review Article) |
| title_full | Edge states in quantum Hall effect in graphene (Review Article) |
| title_fullStr | Edge states in quantum Hall effect in graphene (Review Article) |
| title_full_unstemmed | Edge states in quantum Hall effect in graphene (Review Article) |
| title_short | Edge states in quantum Hall effect in graphene (Review Article) |
| title_sort | edge states in quantum hall effect in graphene (review article) |
| topic | Graphene and graphite multilayers |
| topic_facet | Graphene and graphite multilayers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117555 |
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