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Special Issue:
SPECIAL TOPIC — Non-Hermitian physics
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| SPECIAL TOPIC—Non-Hermitian physics |
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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 |
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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.
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Received: 26 August 2021
Revised: 18 October 2021
Accepted manuscript online: 22 October 2021
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PACS:
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74.20.-z
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(Theories and models of superconducting state)
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72.20.Ee
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(Mobility edges; hopping transport)
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71.23.An
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(Theories and models; localized states)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12174346). |
Corresponding Authors:
Xianlong Gao
E-mail: gaoxl@zjnu.edu.cn
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Cite this article:
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 2022 Chin. Phys. B 31 017401
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