Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

doi:10.1088/1674-1056/abfa08

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 77101-077101.doi: 10.1088/1674-1056/abfa08

Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

Xiang-Ping Jiang(蒋相平)^1,2, Yi Qiao(乔艺)^1,†, and Junpeng Cao(曹俊鹏)^1,2,3,4,‡

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
4 Peng Huanwu Center for Fundamental Theory, Xian 710127, China

收稿日期:2021-03-22 修回日期:2021-04-19 接受日期:2021-04-21 出版日期:2021-06-22 发布日期:2021-07-02
通讯作者: Yi Qiao, Junpeng Cao E-mail:joy@foxmail.com;junpengcao@iphy.ac.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant Nos. 2016YFA0300600 and 2016YFA0302104), the National Natural Science Foundation of China (Grant Nos. 12074410, 12047502, 11934015, 11947301, and 11774397), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB33000000), and the fellowship of China Postdoctoral Science Foundation (Grant No. 2020M680724).

Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

Xiang-Ping Jiang(蒋相平)^1,2, Yi Qiao(乔艺)^1,†, and Junpeng Cao(曹俊鹏)^1,2,3,4,‡

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
4 Peng Huanwu Center for Fundamental Theory, Xian 710127, China

Received:2021-03-22 Revised:2021-04-19 Accepted:2021-04-21 Online:2021-06-22 Published:2021-07-02
Contact: Yi Qiao, Junpeng Cao E-mail:joy@foxmail.com;junpengcao@iphy.ac.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant Nos. 2016YFA0300600 and 2016YFA0302104), the National Natural Science Foundation of China (Grant Nos. 12074410, 12047502, 11934015, 11947301, and 11774397), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB33000000), and the fellowship of China Postdoctoral Science Foundation (Grant No. 2020M680724).

摘要/Abstract

摘要： We study the topological properties of the one-dimensional non-Hermitian Kitaev model with complex either periodic or quasiperiodic potentials. We obtain the energy spectrum and the phase diagrams of the system by using the transfer matrix method as well as the topological invariant. The phase transition points are given analytically. The Majorana zero modes in the topological nontrivial regimes are obtained. Focusing on the quasiperiodic potential, we obtain the phase transition from the topological superconducting phase to the Anderson localization, which is accompanied with the Anderson localization-delocalization transition in this non-Hermitian system. We also find that the topological regime can be reduced by increasing the non-Hermiticity.

关键词: non-Hermitian physics, Majorana zero modes, transfer matrix

Abstract: We study the topological properties of the one-dimensional non-Hermitian Kitaev model with complex either periodic or quasiperiodic potentials. We obtain the energy spectrum and the phase diagrams of the system by using the transfer matrix method as well as the topological invariant. The phase transition points are given analytically. The Majorana zero modes in the topological nontrivial regimes are obtained. Focusing on the quasiperiodic potential, we obtain the phase transition from the topological superconducting phase to the Anderson localization, which is accompanied with the Anderson localization-delocalization transition in this non-Hermitian system. We also find that the topological regime can be reduced by increasing the non-Hermiticity.

Key words: non-Hermitian physics, Majorana zero modes, transfer matrix

中图分类号: (Electron density of states and band structure of crystalline solids)

71.20.-b

64.70.-p (Specific phase transitions) 78.67.Lt (Quantum wires)

Xiang-Ping Jiang(蒋相平), Yi Qiao(乔艺), and Junpeng Cao(曹俊鹏). Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials[J]. 中国物理B, 2021, 30(7): 77101-077101.

Xiang-Ping Jiang(蒋相平), Yi Qiao(乔艺), and Junpeng Cao(曹俊鹏). Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials[J]. Chin. Phys. B, 2021, 30(7): 77101-077101.

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Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

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