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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.01524 |
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| _version_ | 1866915707726331904 |
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| author | Yang, Xue-Min Lin, Hao Li, Jian Zhu, Jia-Ji Zhu, Jun-Li Wu, Hong |
| author_facet | Yang, Xue-Min Lin, Hao Li, Jian Zhu, Jia-Ji Zhu, Jun-Li Wu, Hong |
| contents | The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid in large-sized systems. To reveal the higher-order topology of non-Hermitian systems, we establish a correspondence between the stable zero-mode singular states and the topologically protected corner states of energy spectrum in the thermodynamic limit. Within this framework, the number of zero-mode singular values is directly linked to the number of mid-gap corner states. The winding numbers in real space can be defined to count the number of stable zero-mode singular states. Our results formulate a bulk-boundary correspondence for both static and Floquet non-Hermitian systems, where topology arises intrinsically from the non-Hermiticity, even without symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01524 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian second-order topological insulator with point gap Yang, Xue-Min Lin, Hao Li, Jian Zhu, Jia-Ji Zhu, Jun-Li Wu, Hong Quantum Physics The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid in large-sized systems. To reveal the higher-order topology of non-Hermitian systems, we establish a correspondence between the stable zero-mode singular states and the topologically protected corner states of energy spectrum in the thermodynamic limit. Within this framework, the number of zero-mode singular values is directly linked to the number of mid-gap corner states. The winding numbers in real space can be defined to count the number of stable zero-mode singular states. Our results formulate a bulk-boundary correspondence for both static and Floquet non-Hermitian systems, where topology arises intrinsically from the non-Hermiticity, even without symmetries. |
| title | Non-Hermitian second-order topological insulator with point gap |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.01524 |