| Majorana zero modes,unconventional real-complex transition,and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice |
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| 作者姓名： | 成书杰 高先龙 |
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| 作者单位： | Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 基金项目： | the National Natural Science Foundation of China(Grant Nos.11835011 and 12174346). |
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| 摘 要： | A one-dimensional non-Hermitian quasiperiodic p-wave superconductor without PT-symmetry is studied.By analyzing the spectrum,we discovered that there still exists real-complex energy transition even if the inexistence of 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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| 关 键 词： | non-Hermiticity Majorana zero mode mobility edge unconventional real-complex transition |
| 收稿时间： | 2021-08-26 |
Majorana zero modes,unconventional real-complex transition,and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice |
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| Shujie Cheng,Xianlong Gao.Majorana zero modes,unconventional real-complex transition,and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice[J].Chinese Physics B,2022,31(1):17401-017401. |
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| Authors: | Shujie Cheng Xianlong Gao |
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| Affiliation: | 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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| Keywords: | non-Hermiticity Majorana zero mode mobility edge unconventional real-complex transition |
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