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

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 43 条

[1] Spin-filtered edge states and quantum hall effect in graphene [J].

Abanin, DA ;

Lee, PA ;

Levitov, LS .

PHYSICAL REVIEW LETTERS, 2006, 96 (17)

[2] Dissipative quantum Hall effect in graphene near the Dirac point [J].

Abanin, Dmitry A. ;

Novoselov, Kostya S. ;

Zeitler, Uli ;

Lee, Patrick A. ;

Geim, A. K. ;

Levitov, L. S. .

PHYSICAL REVIEW LETTERS, 2007, 98 (19)

[3] Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes [J].

Alicea, Jason ;

Fisher, Matthew P. A. .

PHYSICAL REVIEW B, 2006, 74 (07)

[4] SU(N) quantum Hall skyrmions [J].

Arovas, DP ;

Karlhede, A ;

Lilliehöök, D .

PHYSICAL REVIEW B, 1999, 59 (20) :13147-13150

[5] SELF-CONSISTENT APPROXIMATIONS IN MANY-BODY SYSTEMS [J].

BAYM, G .

PHYSICAL REVIEW, 1962, 127 (04) :1391-&

[6] Zero-energy state in graphene in a high magnetic field [J].

Checkelsky, Joseph G. ;

Li, Lu ;

Ong, N. P. .

PHYSICAL REVIEW LETTERS, 2008, 100 (20)

[7] EFFECTIVE ACTION FOR COMPOSITE OPERATORS [J].

CORNWALL, JM ;

JACKIW, R ;

TOMBOULIS, E .

PHYSICAL REVIEW D, 1974, 10 (08) :2428-2445

[8] Intrinsic Zeeman effect in graphene [J].

Ezawa, Motohiko .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2007, 76 (09)

[9] Supersymmetry and unconventional quantum Hall effect in monolayer, bilayer and trilayer graphene [J].

Ezawa, Motohiko .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2007, 40 (02) :269-272

[10] Interlayer exchange interactions, SU(4) soft waves, and skyrmions in bilayer quantum Hall ferromagnets [J].

Ezawa, ZF ;

Hasebe, K .

PHYSICAL REVIEW B, 2002, 65 (07) :0753111-07531111

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