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Anomalous time-reversal symmetric non-Hermitian systems |
| Yifei Yi(易益妃)† |
| Sichuan Normal University, Chengdu 610066, China |
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Abstract The conditions for the emergence of the non-Hermitian skin effect, as a unique physical response of non-Hermitian systems, have now become one of the hot research topics. In this paper, we study the novel physical responses of non-Hermitian systems with anomalous time-reversal symmetry, in both one dimension and two dimensions. Specifically, we focus on whether the systems will exhibit a non-Hermitian skin effect. We employ the theory of generalized Brillouin zone and also numerical methods to show that the anomalous time-reversal symmetry can prevent the skin effect in one-dimensional non-Hermitian systems, but is unable to exert the same effectiveness in two-dimensional cases.
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Received: 12 November 2023
Revised: 02 January 2024
Accepted manuscript online: 02 February 2024
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PACS:
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03.65.Aa
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(Quantum systems with finite Hilbert space)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12304201). |
Corresponding Authors:
Yifei Yi
E-mail: 2946304594@qq.com
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Cite this article:
Yifei Yi(易益妃) Anomalous time-reversal symmetric non-Hermitian systems 2024 Chin. Phys. B 33 060302
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