Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

doi:10.1088/1674-1056/ac3222

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 17401-017401.doi: 10.1088/1674-1056/ac3222

所属专题： SPECIAL TOPIC — Non-Hermitian physics

Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

Shujie Cheng(成书杰) and Xianlong Gao(高先龙)^†

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2021-08-26 修回日期:2021-10-18 接受日期:2021-10-22 出版日期:2021-12-03 发布日期:2021-12-23
通讯作者: Xianlong Gao E-mail:gaoxl@zjnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12174346).

Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

Shujie Cheng(成书杰) and Xianlong Gao(高先龙)^†

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2021-08-26 Revised:2021-10-18 Accepted:2021-10-22 Online:2021-12-03 Published:2021-12-23
Contact: Xianlong Gao E-mail:gaoxl@zjnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12174346).

摘要/Abstract

摘要： A one-dimensional non-Hermitian quasiperiodic p-wave superconductor without $\mathcal{PT}$-symmetry is studied. By analyzing the spectrum, we discovered that there still exists real-complex energy transition even if the inexistence of $\mathcal{PT}$-symmetry breaking. By the inverse participation ratio, we constructed such a correspondence that pure real energies correspond to the extended states and complex energies correspond to the localized states, and this correspondence is precise and effective to detect the mobility edges. After investigating the topological properties, we arrived at a fact that the Majorana zero modes in this system are immune to the non-Hermiticity.

关键词: non-Hermiticity, Majorana zero mode, mobility edge, unconventional real-complex transition

Abstract: A one-dimensional non-Hermitian quasiperiodic p-wave superconductor without $\mathcal{PT}$-symmetry is studied. By analyzing the spectrum, we discovered that there still exists real-complex energy transition even if the inexistence of $\mathcal{PT}$-symmetry breaking. By the inverse participation ratio, we constructed such a correspondence that pure real energies correspond to the extended states and complex energies correspond to the localized states, and this correspondence is precise and effective to detect the mobility edges. After investigating the topological properties, we arrived at a fact that the Majorana zero modes in this system are immune to the non-Hermiticity.

Key words: non-Hermiticity, Majorana zero mode, mobility edge, unconventional real-complex transition

中图分类号: (Theories and models of superconducting state)

74.20.-z

72.20.Ee (Mobility edges; hopping transport) 71.23.An (Theories and models; localized states)

Shujie Cheng(成书杰) and Xianlong Gao(高先龙). Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice[J]. 中国物理B, 2022, 31(1): 17401-017401.

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Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

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