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Coupling-matrix approach to the Chern number calculation in disordered systems
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O187.1[理学—数学;理学—基础数学] TN304.82[电子电信—物理电子学]
  • 作者机构：[1]National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China, [2]College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610068, China, [3]Department of Physics and Astronomy, California State University, Northridge, California 91330, USA
  • 相关基金：Project supported by the National Basic Research Program of China （Grant Nos. 2009CB929504, 2011CB922103, and 2010CB923400）, the National Natural Science Foundation of China （Grant Nos. 11225420, 11074110, 11174125, 11074109, 11074111, and 91021003）, the Priority Academic Program Development of Jiangsu Higher Education Institutions, China, the Natural Science Foundation of Jiangsu Province, China （Grant No. BK2010364）, the US NSF （Grant Nos. DMR-0906816 and DMR-1205734）, and the Princeton MRSEC （Grant No. DMR-0819860）.
作者： 张议夫[1], 杨运友[2], 鞠艳[1], 盛利[1], 沈瑞[1], 盛冬宁[3], 邢定钰[1]
关键词： 无序系统, 耦合矩阵, 陈数, 计算, 二维电子系统, 拓扑, 矩阵法, 陈省身, Chern number, topology, disorder
中文摘要：

The Chern number is often used to distinguish different topological phases of matter in two-dimensional electron systems.A fast and efficient coupling-matrix method is designed to calculate the Chern number in finite crystalline and disordered systems.To show its effectiveness,we apply the approach to the Haldane model and the lattice Hofstadter model,and obtain the correct quantized Chern numbers.The disorder-induced topological phase transition is well reproduced,when the disorder strength is increased beyond the critical value.We expect the method to be widely applicable to the study of topological quantum numbers.

英文摘要：

The Chern number is often used to distinguish different topological phases of matter in two-dimensional electron systems. A fast and efficient coupling-matrix method is designed to calculate the Chern number in finite crystalline and disordered systems. To show its effectiveness, we apply the approach to the Haldane model and the lattice Hofstadter model, and obtain the correct quantized Chern numbers. The disorder-induced topological phase transition is well reproduced, when the disorder strength is increased beyond the critical value. We expect the method to be widely applicable to the study of topological quantum numbers.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406