Bulk-edge correspondence in graphene with/without magnetic field: Chiral symmetry, Dirac fermions and edge states

被引：52

作者：

Hatsugai, Y. ^{[1
]}

机构：

[1] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

来源：

SOLID STATE COMMUNICATIONS | 2009年 / 149卷 / 27-28期

基金：

日本学术振兴会;

关键词：

Graphene; Edge states; Bulk-edge correspondence; Berry phases; QUANTIZED HALL CONDUCTANCE; TOPOLOGICAL ASPECTS; CHERN NUMBERS; GROUND-STATE; DIMENSIONS; SURFACE; SUPERCONDUCTORS; BREAKING;

D O I：

10.1016/j.ssc.2009.02.055

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

There are two types of edge states in graphene with/without magnetic field. One is a quantum Hall edge state, which is topologically protected against small perturbation. The other is a chiral zero mode that is localized near the boundary with/without magnetic field. The latter is also topological but is guaranteed to be at zero energy by the chiral symmetry, which is also responsible for massless Dirac-like dispersion. Conceptual roles of the edge states are stressed and reviewed from the point of view of the bulk-edge correspondence and topological order. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1061 / 1067

页数：7

共 34 条

[1] Quantum Hall effects of graphene with multiorbitals: Topological numbers, Boltzmann conductance, and semiclassical quantization [J].

Arai, Masao ;

Hatsugai, Yasuhiro .

PHYSICAL REVIEW B, 2009, 79 (07)

[2] Edge states for the n=0 Laudau level in graphene [J].

Arikawa, Mitsuhiro ;

Hatsugai, Yasuhiro ;

Aoki, Hideo .

25TH INTERNATIONAL CONFERENCE ON LOW TEMPERATURE PHYSICS (LT25), PART 2, 2009, 150

[3] Edge states in graphene in magnetic fields: A specialty of the edge mode embedded in the n=0 Landau band [J].

Arikawa, Mitsuhiro ;

Hatsugai, Yasuhiro ;

Aoki, Hideo .

PHYSICAL REVIEW B, 2008, 78 (20)

[4] Peculiar localized state at zigzag graphite edge [J].

Fujita, M ;

Wakabayashi, K ;

Nakada, K ;

Kusakabe, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (07) :1920-1923

[5] Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances [J].

Fukui, T ;

Hatsugai, Y ;

Suzuki, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (06) :1674-1677

[6] QUANTIZED HALL CONDUCTANCE, CURRENT-CARRYING EDGE STATES, AND THE EXISTENCE OF EXTENDED STATES IN A TWO-DIMENSIONAL DISORDERED POTENTIAL [J].

HALPERIN, BI .

PHYSICAL REVIEW B, 1982, 25 (04) :2185-2190

[7] Topological aspects of graphene - Dirac fermions and the bulk-edge correspondence in magnetic fields [J].

Hatsugai, Y. ;

Fukui, T. ;

Aoki, H. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2007, 148 (1) :133-141

[8] Characterization of topological insulators: Chern numbers for ground state multiplet [J].

Hatsugai, Y .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (05) :1374-1377

[9] Explicit gauge fixing for degenerate multiplets: A generic setup for topological orders [J].

Hatsugai, Y .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (10) :2604-2607

[10] CHERN NUMBER AND EDGE STATES IN THE INTEGER QUANTUM HALL-EFFECT [J].

HATSUGAI, Y .

PHYSICAL REVIEW LETTERS, 1993, 71 (22) :3697-3700

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