Erratic non-Hermitian skin localization
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911288975687680 |
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| author | Longhi, Stefano |
| author_facet | Longhi, Stefano |
| contents | A novel localization phenomenon, termed erratic non-Hermitian skin localization, has been identified in disordered globally-reciprocal non-Hermitian lattices. Unlike conventional non-Hermitian skin effect and Anderson localization, it features macroscopic eigenstate localization at irregular, disorder-dependent positions with sub-exponential decay. Using the Hatano-Nelson model with disordered imaginary gauge fields as a case study, this effect is linked to stochastic interfaces governed by the universal order statistics of random walks. Finite-size scaling analysis confirms the localized nature of the eigenstates. This discovery challenges conventional wave localization paradigms, offering new avenues for understanding and controlling localization phenomena in non-Hermitian physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Erratic non-Hermitian skin localization Longhi, Stefano Disordered Systems and Neural Networks Optics Quantum Physics A novel localization phenomenon, termed erratic non-Hermitian skin localization, has been identified in disordered globally-reciprocal non-Hermitian lattices. Unlike conventional non-Hermitian skin effect and Anderson localization, it features macroscopic eigenstate localization at irregular, disorder-dependent positions with sub-exponential decay. Using the Hatano-Nelson model with disordered imaginary gauge fields as a case study, this effect is linked to stochastic interfaces governed by the universal order statistics of random walks. Finite-size scaling analysis confirms the localized nature of the eigenstates. This discovery challenges conventional wave localization paradigms, offering new avenues for understanding and controlling localization phenomena in non-Hermitian physics. |
| title | Erratic non-Hermitian skin localization |
| topic | Disordered Systems and Neural Networks Optics Quantum Physics |
| url | https://arxiv.org/abs/2504.14910 |