Quantum Hall effect of massless Dirac fermions in a vanishing magnetic field

被引：63

作者：

Nomura, Kentaro ^{[1
]}

Ryu, Shinsei ^{[2
]}

Koshino, Mikito ^{[3
,4
]}

Mudry, Christopher ^{[5
]}

Furusaki, Akira ^{[6
]}

机构：

[1] Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan

[2] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[3] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

[4] Columbia Univ, Dept Phys, New York, NY 10027 USA

[5] Paul Scherrer Inst, Condensed Matter Theory Grp, CH-5232 Villigen, Switzerland

[6] RIKEN, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.100.246806

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The effect of strong long-range disorder on the quantization of the Hall conductivity sigma(xy) in graphene is studied numerically. It is shown that increasing Landau-level mixing progressively destroys all plateaus in sigma(xy) except the plateaus at sigma(xy)=-/+ e(2)/2h (per valley and per spin). The critical state at the Dirac point is robust to strong disorder and belongs to the universality class of the conventional plateau transitions in the integer quantum Hall effect. We propose that the breaking of time-reversal symmetry by ripples in graphene can realize this quantum critical point in a vanishing magnetic field.

引用

页数：4

共 32 条

[1] Effect of disorder on transport in graphene [J].

Aleiner, I. L. ;

Efetov, K. B. .

PHYSICAL REVIEW LETTERS, 2006, 97 (23)

[2] Low-energy theory of disordered graphene [J].

Altland, Alexander .

PHYSICAL REVIEW LETTERS, 2006, 97 (23)

[3] ELECTRON LOCALIZATION IN A TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS .1. CASE OF SHORT-RANGE SCATTERERS [J].

ANDO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (05) :1740-1749

[4] ELECTRON LOCALIZATION IN A TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS .2. LONG-RANGE SCATTERERS AND RESPONSE FUNCTIONS [J].

ANDO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (09) :3101-3111

[5] SCALING FUNCTIONS IN QUANTUM HALL-EFFECT [J].

ANDO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1986, 55 (09) :3199-3209

[6] ELECTRON LOCALIZATION IN A TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS .3. IMPURITY-CONCENTRATION DEPENDENCE AND LEVEL-MIXING EFFECTS [J].

ANDO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (09) :3126-3135

[7] Screening effect and impurity scattering in monolayer graphene [J].

Ando, Tsuneya .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (07)

[8] One-parameter scaling at the dirac point in graphene [J].

Bardarson, J. H. ;

Tworzydlo, J. ;

Brouwer, P. W. ;

Beenakker, C. W. J. .

PHYSICAL REVIEW LETTERS, 2007, 99 (10)

[9] TOPOLOGICALLY MASSIVE GAUGE-THEORIES [J].

DESER, S ;

JACKIW, R ;

TEMPLETON, S .

ANNALS OF PHYSICS, 1982, 140 (02) :372-411

[10] The rise of graphene [J].

Geim, A. K. ;

Novoselov, K. S. .

NATURE MATERIALS, 2007, 6 (03) :183-191

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