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 lat...
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| Published in: | Физика низких температур |
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| 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/123456789/117556 |
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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| _version_ | 1862624276017840128 |
|---|---|
| author | Gorbar, E.V. Gusynin, V.P. Miransky, V.A. |
| author_facet | Gorbar, E.V. Gusynin, V.P. Miransky, V.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | 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.
|
| first_indexed | 2025-12-07T13:31:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117556 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T13:31:37Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gorbar, E.V. Gusynin, V.P. Miransky, V.A. 2017-05-24T18:06:36Z 2017-05-24T18:06:36Z 2008 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. 0132-6414 PACS: 73.43.Cd;71.70.Di;81.05.Uw https://nasplib.isofts.kiev.ua/handle/123456789/117556 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. 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Graphene and graphite multilayers Toward theory of quantum Hall effect in graphene Article published earlier |
| spellingShingle | Toward theory of quantum Hall effect in graphene Gorbar, E.V. Gusynin, V.P. Miransky, V.A. Graphene and graphite multilayers |
| title | Toward theory of quantum Hall effect in graphene |
| title_full | Toward theory of quantum Hall effect in graphene |
| title_fullStr | Toward theory of quantum Hall effect in graphene |
| title_full_unstemmed | Toward theory of quantum Hall effect in graphene |
| title_short | Toward theory of quantum Hall effect in graphene |
| title_sort | toward theory of quantum hall effect in graphene |
| topic | Graphene and graphite multilayers |
| topic_facet | Graphene and graphite multilayers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117556 |
| work_keys_str_mv | AT gorbarev towardtheoryofquantumhalleffectingraphene AT gusyninvp towardtheoryofquantumhalleffectingraphene AT miranskyva towardtheoryofquantumhalleffectingraphene |