Anderson transition in disordered Hatano-Nelson systems
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910067416104960 |
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| author | Barandun, Silvio |
| author_facet | Barandun, Silvio |
| contents | We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the topological invariant associated with an eigenvalue coincides with the eigenvector crossover from non-Hermitian skin effect to Anderson localization, establishing a universal criterion for localization behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18286 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anderson transition in disordered Hatano-Nelson systems Barandun, Silvio Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Physics 81Q12, 47B36 We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the topological invariant associated with an eigenvalue coincides with the eigenvector crossover from non-Hermitian skin effect to Anderson localization, establishing a universal criterion for localization behavior. |
| title | Anderson transition in disordered Hatano-Nelson systems |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Physics 81Q12, 47B36 |
| url | https://arxiv.org/abs/2603.18286 |