Toward theory of quantum Hall effect in graphene

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 for...

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Published in:Физика низких температур
Date:2008
Main Authors: Gorbar, E.V., Gusynin, V.P., Miransky, V.A.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/117556
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:0132-6414