Toward theory of quantum Hall effect in graphene

Toward theory of quantum Hall effect in graphene

Gorbar, E.V. ; Gusynin, V.P. ; Miransky, V.A.

Тема: Graphene and graphite multilayers

Інший ID: PACS: 73.43.Cd;71.70.Di;81.05.Uw

URI: http://dspace.nbuv.gov.ua/handle/123456789/117556

Посилання: Toward theory of quantum Hall effect in graphene / E.V. Gorbar, V.P. Gusynin, V.A. Miransky // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1007-1011. — Бібліогр.: 35 назв. — англ.

Підтримка: Useful discussions with S.G. Sharapov and I.A. Shovkovy are acknowledged. The work of E.V.G. and V.P.G. was supported by the SCOPES-project IB 7320-110848 of the Swiss NSF, the grant 10/07-H «Nanostructure systems, nanomaterials, nanotechnologies», and by the Program of Fundamental Research of the Physics and Astronomy Division of the National Academy of Ukraine. V.A.M. acknowledges the support of the Natural Sciences and Engineering Research Council of Canada.

Дата: 2008

Завантажень: 459

Toward theory of quantum Hall effect in graphene

Анотація:

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic catalysis dynamics necessarily coexist (the latter have the form of Dirac masses and correspond to excitonic condensates). This feature of graphene could lead to important consequences, in particular, for the existence of gapless edge states. Solutions of the gap equation corresponding to recently experimentally discovered novel plateaus in graphene in strong magnetic fields are described.

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