Numerical study of quantum Hall effect in two-dimensional multi-band system: Single- and multi-layer graphene

被引:3
|
作者
Arai, Masao [1 ]
Hatsugai, Yasuhiro [2 ]
机构
[1] Natl Inst Mat Sci, Computat Mat Sci Ctr, Tsukuba, Ibaraki 3050044, Japan
[2] Univ Tsukuba, Dept Phys, Tsukuba, Ibaraki 3058571, Japan
来源
基金
日本学术振兴会;
关键词
Graphene; Quantum Hall effect; EDGE STATES; TOPOLOGICAL INVARIANT; CHERN NUMBERS; BERRYS PHASE; CONDUCTANCE;
D O I
10.1016/j.physe.2009.11.005
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The Chem numbers which correspond to quantized Hall conductance sigma(xy) were calculated for single- and bi-layer honeycomb lattices. The quantization of sigma(xy) occurs in entire energy range. Several large jumps of Chem numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateaux of sigma(xy) are discussed from semi-classical quantization. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:740 / 743
页数:4
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