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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2510.09193 |
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| _version_ | 1866909834168762368 |
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| author | Wu, Hong Yang, Xue-Min Liu, Hui |
| author_facet | Wu, Hong Yang, Xue-Min Liu, Hui |
| contents | Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by infinitesimal perturbations that preserve sublattice symmetry. We identify this fragility to the instability of the quasienergy spectrum in finite-size systems, leading to a breakdown of the non-Bloch bulk-boundary correspondence defined on the generalized Brillouin zone. To resolve this, we establish a correspondence between the number of stable zero-mode singular states and the topologically protected edge states in the thermodynamic limit. Our results formulate a bulk-boundary correspondence for Floquet non-Hermitian systems, where topology arises intrinsically from the driven non-Hermitian systems, even without symmetries. Our results provide a promising new avenue for exploring novel non-Hermitian topological phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems Wu, Hong Yang, Xue-Min Liu, Hui Quantum Physics Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by infinitesimal perturbations that preserve sublattice symmetry. We identify this fragility to the instability of the quasienergy spectrum in finite-size systems, leading to a breakdown of the non-Bloch bulk-boundary correspondence defined on the generalized Brillouin zone. To resolve this, we establish a correspondence between the number of stable zero-mode singular states and the topologically protected edge states in the thermodynamic limit. Our results formulate a bulk-boundary correspondence for Floquet non-Hermitian systems, where topology arises intrinsically from the driven non-Hermitian systems, even without symmetries. Our results provide a promising new avenue for exploring novel non-Hermitian topological phases. |
| title | Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.09193 |