中国物理B ›› 2016, Vol. 25 ›› Issue (7): 77305-077305.doi: 10.1088/1674-1056/25/7/077305

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Topological phase in one-dimensional Rashba wire

Sa-Ke Wang(汪萨克), Jun Wang(汪军), Jun-Feng Liu(刘军丰)   

  1. 1 Department of Physics, Southeast University, Nanjing 210096, China;
    2 Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China
  • 收稿日期:2015-12-10 修回日期:2016-03-25 出版日期:2016-07-05 发布日期:2016-07-05
  • 通讯作者: Jun Wang E-mail:jwang@seu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 115074045 and 11204187) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20131284).

Topological phase in one-dimensional Rashba wire

Sa-Ke Wang(汪萨克)1, Jun Wang(汪军)1, Jun-Feng Liu(刘军丰)2   

  1. 1 Department of Physics, Southeast University, Nanjing 210096, China;
    2 Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China
  • Received:2015-12-10 Revised:2016-03-25 Online:2016-07-05 Published:2016-07-05
  • Contact: Jun Wang E-mail:jwang@seu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 115074045 and 11204187) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20131284).

摘要:

We study the possible topological phase in a one-dimensional (1D) quantum wire with an oscillating Rashba spin-orbital coupling in real space. It is shown that there are a pair of particle-hole symmetric gaps forming in the bulk energy band and fractional boundary states residing in the gap when the system has an inversion symmetry. These states are topologically nontrivial and can be characterized by a quantized Berry phase ±π or nonzero Chern number through dimensional extension. When the Rashba spin-orbital coupling varies slowly with time, the system can pump out 2 charges in a pumping cycle because of the spin flip effect. This quantized pumping is protected by topology and is robust against moderate disorders as long as the disorder strength does not exceed the opened energy gap.

关键词: one-dimensional topological phase, Rashba spin-orbit interaction, spatial modulation, quantized pump

Abstract:

We study the possible topological phase in a one-dimensional (1D) quantum wire with an oscillating Rashba spin-orbital coupling in real space. It is shown that there are a pair of particle-hole symmetric gaps forming in the bulk energy band and fractional boundary states residing in the gap when the system has an inversion symmetry. These states are topologically nontrivial and can be characterized by a quantized Berry phase ±π or nonzero Chern number through dimensional extension. When the Rashba spin-orbital coupling varies slowly with time, the system can pump out 2 charges in a pumping cycle because of the spin flip effect. This quantized pumping is protected by topology and is robust against moderate disorders as long as the disorder strength does not exceed the opened energy gap.

Key words: one-dimensional topological phase, Rashba spin-orbit interaction, spatial modulation, quantized pump

中图分类号:  (Quantum Hall effects)

  • 73.43.-f
73.20.-r (Electron states at surfaces and interfaces) 72.25.-b (Spin polarized transport)