Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914009729466368 |
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| author | Nakamura, Daichi Shiozaki, Ken Shimomura, Kenji Sato, Masatoshi Kawabata, Kohei |
| author_facet | Nakamura, Daichi Shiozaki, Ken Shimomura, Kenji Sato, Masatoshi Kawabata, Kohei |
| contents | While topology can impose obstructions to exponentially localized Wannier functions, certain topological insulators are exempt from such Wannier obstructions. The absence of the Wannier obstructions can further accompany topological boundary states that are detachable from the bulk bands. Here, we elucidate a close connection between these detachable topological boundary states and non-Hermitian topology. Identifying topological boundary states as non-Hermitian topology, we demonstrate that intrinsic non-Hermitian topology leads to the inevitable spectral flow. By contrast, we show that extrinsic non-Hermitian topology underlies the detachment of topological boundary states and clarify anti-Hermitian topology of the detached boundary states. Based on this connection and $K$-theory, we complete the tenfold classification of Wannier localizability and detachable topological boundary states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09458 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian Origin of Detachable Boundary States in Topological Insulators Nakamura, Daichi Shiozaki, Ken Shimomura, Kenji Sato, Masatoshi Kawabata, Kohei Mesoscale and Nanoscale Physics Mathematical Physics Quantum Physics While topology can impose obstructions to exponentially localized Wannier functions, certain topological insulators are exempt from such Wannier obstructions. The absence of the Wannier obstructions can further accompany topological boundary states that are detachable from the bulk bands. Here, we elucidate a close connection between these detachable topological boundary states and non-Hermitian topology. Identifying topological boundary states as non-Hermitian topology, we demonstrate that intrinsic non-Hermitian topology leads to the inevitable spectral flow. By contrast, we show that extrinsic non-Hermitian topology underlies the detachment of topological boundary states and clarify anti-Hermitian topology of the detached boundary states. Based on this connection and $K$-theory, we complete the tenfold classification of Wannier localizability and detachable topological boundary states. |
| title | Non-Hermitian Origin of Detachable Boundary States in Topological Insulators |
| topic | Mesoscale and Nanoscale Physics Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.09458 |