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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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2008 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/117556 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Toward theory of quantum Hall effect in graphene |
| spellingShingle |
Toward theory of quantum Hall effect in graphene Gorbar, E.V. Gusynin, V.P. Miransky, V.A. Graphene and graphite multilayers |
| title_short |
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_sort |
toward theory of quantum hall effect in graphene |
| author |
Gorbar, E.V. Gusynin, V.P. Miransky, V.A. |
| author_facet |
Gorbar, E.V. Gusynin, V.P. Miransky, V.A. |
| topic |
Graphene and graphite multilayers |
| topic_facet |
Graphene and graphite multilayers |
| publishDate |
2008 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117556 |
| 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. |
| work_keys_str_mv |
AT gorbarev towardtheoryofquantumhalleffectingraphene AT gusyninvp towardtheoryofquantumhalleffectingraphene AT miranskyva towardtheoryofquantumhalleffectingraphene |
| first_indexed |
2025-12-07T13:31:37Z |
| last_indexed |
2025-12-07T13:31:37Z |
| _version_ |
1850856489581805568 |