Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

doi:10.1088/1674-1056/22/6/067201

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 67201-067201.doi: 10.1088/1674-1056/22/6/067201

所属专题： TOPICAL REVIEW — Topological insulator

• TOPICAL REVIEW—Topological insulator • 上一篇下一篇

Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

盛利^a, 李会超^a, 杨运友^a, 盛冬宁^b, 邢定钰^a

a National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
b Department of Physics and Astronomy, California State University, Northridge, California 91330, USA

收稿日期:2013-04-17 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
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, and 91021003), the Priority Academic Program Development of Jiangsu Higher Education Institutions, China, the US NSF (Grant Nos. DMR-0906816 and DMR-1205734), and Princeton MRSEC (Grant No. DMR-0819860).

Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

Sheng Li (盛利)^a, Li Hui-Chao (李会超)^a, Yang Yun-You (杨运友)^a, Sheng Dong-Ning (盛冬宁)^b, Xing Ding-Yu (邢定钰)^a

a National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
b Department of Physics and Astronomy, California State University, Northridge, California 91330, USA

Received:2013-04-17 Online:2013-05-01 Published:2013-05-01
Contact: Sheng Dong-Ning, Xing Ding-Yu E-mail:shengli@nju.edu.cn; dyxing@nju.edu.cn
Supported by:
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, and 91021003), the Priority Academic Program Development of Jiangsu Higher Education Institutions, China, the US NSF (Grant Nos. DMR-0906816 and DMR-1205734), and Princeton MRSEC (Grant No. DMR-0819860).

摘要/Abstract

摘要： The quantum spin Hall (QSH) effect is considered to be unstable to perturbations violating the time-reversal (TR) symmetry. We review some recent developments in the search of the QSH effect in the absence of the TR symmetry. The possibility to realize a robust QSH effect by artificial removal of the TR symmetry of the edge states is explored. As a useful tool to characterize topological phases without the TR symmetry, the spin-Chern number theory is introduced.

关键词: spin-polarized transport, quantum spin Hall effect, surface state, edge state, topological insulator

Abstract: The quantum spin Hall (QSH) effect is considered to be unstable to perturbations violating the time-reversal (TR) symmetry. We review some recent developments in the search of the QSH effect in the absence of the TR symmetry. The possibility to realize a robust QSH effect by artificial removal of the TR symmetry of the edge states is explored. As a useful tool to characterize topological phases without the TR symmetry, the spin-Chern number theory is introduced.

Key words: spin-polarized transport, quantum spin Hall effect, surface state, edge state, topological insulator

中图分类号: (Spin polarized transport)

72.25.-b

73.43.-f (Quantum Hall effects) 73.20.At (Surface states, band structure, electron density of states) 73.50.-h (Electronic transport phenomena in thin films)

盛利, 李会超, 杨运友, 盛冬宁, 邢定钰. Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect[J]. 中国物理B, 2013, 22(6): 67201-067201.

Sheng Li (盛利), Li Hui-Chao (李会超), Yang Yun-You (杨运友), Sheng Dong-Ning (盛冬宁), Xing Ding-Yu (邢定钰). Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect[J]. Chin. Phys. B, 2013, 22(6): 67201-067201.

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Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

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