Toward a theory of the quantum Hall effect in graphene

被引：26

作者：

Gorbar, E. V. ^{[1
]}

Gusynin, V. P. ^{[1
]}

Miransky, V. A. ^{[2
]}

机构：

[1] Bogolyubov Inst Theoret Phys, UA-03680 Kiev, Ukraine

[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

来源：

LOW TEMPERATURE PHYSICS | 2008年 / 34卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1063/1.2981388

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2981388]

引用

页码：790 / 793

页数：4

共 50 条

[31] Graphene and the universality of the quantum Hall effect
Tzalenchuk, A.
Janssen, T. J. B. M.
Kazakova, O.
Williams, J. M.
Kubatkin, S.
Lara-Avila, S.
Moth-Poulsen, K.
Yakimova, R.
Bjornholm, T.
Fletcher, N. E.
Goebel, R.
Kopylov, S.
Fal'ko, V.
METROLOGY AND PHYSICAL CONSTANTS, 2013, 185 : 323 - 350
[32] Abelian Chern-Simons theory for the fractional quantum Hall effect in graphene
Fraessdorf, Christian
PHYSICAL REVIEW B, 2018, 97 (11)
[33] Fractional quantum Hall effect in graphene: Quantitative comparison between theory and experiment
Balram, Ajit C.
Toke, Csaba
Wojs, A.
Jain, J. K.
PHYSICAL REVIEW B, 2015, 92 (07):
[34] Theory for optical Hall conductivity in the trilayer graphene in the quantum Hall regime
Morimoto, Takahiro
Koshino, Mikito
Aoki, Hideo
20TH INTERNATIONAL CONFERENCE ON THE APPLICATION OF HIGH MAGNETIC FIELDS IN SEMICONDUCTOR PHYSICS (HMF-20), 2013, 456
[35] Quantum oscillations and quantum Hall effect in epitaxial graphene
Jobst, Johannes
Waldmann, Daniel
Speck, Florian
Hirner, Roland
Maude, Duncan K.
Seyller, Thomas
Weber, Heiko B.
PHYSICAL REVIEW B, 2010, 81 (19)
[36] The effect of spin mixing on the quantum Hall effect in graphene
Sheng, L.
Sheng, D. N.
Xing, D. Y.
JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (40)
[37] Quantum Hall effect in narrow graphene ribbons
Hettmansperger, H.
Duerr, F.
Oostinga, J. B.
Gould, C.
Trauzettel, B.
Molenkamp, L. W.
PHYSICAL REVIEW B, 2012, 86 (19):
[38] The quantum Hall effect in graphene - a theoretical perspective
Goerbig, Mark O.
COMPTES RENDUS PHYSIQUE, 2011, 12 (04) : 369 - 378
[39] Quantum Hall Effect in Graphene with Superconducting Electrodes
Rickhaus, Peter
Weiss, Markus
Marot, Laurent
Schoenenberger, Christian
NANO LETTERS, 2012, 12 (04) : 1942 - 1945
[40] DYNAMICAL GAPS AND QUANTUM HALL EFFECT IN GRAPHENE
Gorbar, E. V.
Gusynin, V. P.
Miransky, V. A.
MODERN PHYSICS LETTERS B, 2009, 23 (07): : 891 - 902

← 1 2 3 4 5 →