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

被引：48
|
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
收藏
页码：1061 / 1067
页数：7
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