Symmetry-Protected Bipolar Skin Effect and its Topological Breakdown in Disordered Non-Hermitian Systems
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917121247674368 |
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| author | Tozar, Ali |
| author_facet | Tozar, Ali |
| contents | The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder, particularly in the presence of spin-orbit coupling (SOC), is not fully understood. Here, we uncover a Z_2 topological bipolar skin effect in a non-Hermitian Rashba chain, where spin-up and spin-down eigenstates localize at opposite boundaries. By strictly computing the Lyapunov exponents and introducing a biorthogonal spin-separation index, we map the global phase diagram and reveal a hierarchical breakdown of topology. We demonstrate that the Z_2 skin effect is protected against moderate disorder but collapses into a trivial skin phase before the ultimate onset of Anderson localization. Our results establish a distinct regime of disorder-robust topological non-reciprocity, distinguishable from both the trivial bulk limit and the Anderson localized phase. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_03283 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry-Protected Bipolar Skin Effect and its Topological Breakdown in Disordered Non-Hermitian Systems Tozar, Ali Disordered Systems and Neural Networks Statistical Mechanics The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder, particularly in the presence of spin-orbit coupling (SOC), is not fully understood. Here, we uncover a Z_2 topological bipolar skin effect in a non-Hermitian Rashba chain, where spin-up and spin-down eigenstates localize at opposite boundaries. By strictly computing the Lyapunov exponents and introducing a biorthogonal spin-separation index, we map the global phase diagram and reveal a hierarchical breakdown of topology. We demonstrate that the Z_2 skin effect is protected against moderate disorder but collapses into a trivial skin phase before the ultimate onset of Anderson localization. Our results establish a distinct regime of disorder-robust topological non-reciprocity, distinguishable from both the trivial bulk limit and the Anderson localized phase. |
| title | Symmetry-Protected Bipolar Skin Effect and its Topological Breakdown in Disordered Non-Hermitian Systems |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2512.03283 |