Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: beyond PT-symmetry
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918520226316288 |
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| author | Zhang, Guangjie Shao, Bing Zhou, Longwen Gong, Jiangbin Zhu, Weiwei |
| author_facet | Zhang, Guangjie Shao, Bing Zhou, Longwen Gong, Jiangbin Zhu, Weiwei |
| contents | One-dimensional non-Hermitian quasicrystals with parity and time-reversal (PT) symmetry can simultaneously exhibit localization-delocalization transition, topological phase transition, and PT-symmetry-breaking transition. This motivates this work to investigate how the absence of PT symmetry impacts topological metal-insulator transitions in non-Hermitian quasicrystals. We propose a non-Hermitian quasiperiodic model that generally does not preserve PT symmetry and demonstrate that, in most parameter regions, such a system supports triple phase transitions that encompass localization, topology, and degeneracy-breaking. The system may also exhibit a particular type of localization-delocalization transition analogous to the Hermitian case, namely, without activating topological phase transitions or degeneracy-breaking transitions. Our work extends the topological metal-insulator transitions previously studied in PT-symmetric systems to a more general class of non-Hermitian setting, and further reveals that non-Hermitian systems can host distinct types of localization behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25072 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: beyond PT-symmetry Zhang, Guangjie Shao, Bing Zhou, Longwen Gong, Jiangbin Zhu, Weiwei Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Physics One-dimensional non-Hermitian quasicrystals with parity and time-reversal (PT) symmetry can simultaneously exhibit localization-delocalization transition, topological phase transition, and PT-symmetry-breaking transition. This motivates this work to investigate how the absence of PT symmetry impacts topological metal-insulator transitions in non-Hermitian quasicrystals. We propose a non-Hermitian quasiperiodic model that generally does not preserve PT symmetry and demonstrate that, in most parameter regions, such a system supports triple phase transitions that encompass localization, topology, and degeneracy-breaking. The system may also exhibit a particular type of localization-delocalization transition analogous to the Hermitian case, namely, without activating topological phase transitions or degeneracy-breaking transitions. Our work extends the topological metal-insulator transitions previously studied in PT-symmetric systems to a more general class of non-Hermitian setting, and further reveals that non-Hermitian systems can host distinct types of localization behavior. |
| title | Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: beyond PT-symmetry |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2605.25072 |