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Edge states in quantum Hall effect in graphene (Review Article)
Репозиторій DSpace/Manakin
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Edge states in quantum Hall effect in graphene (Review Article)
Тема:
Graphene and graphite multilayers
Інший ID:
PACS: 73.43.Cd;71.70.Di;81.05.Uw
Посилання:
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.
Підтримка:
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.
Дата:
2008
Переглядів:
943
Завантажень:
839
Анотація:
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.
