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- Publisher Website: 10.1103/PhysRevB.108.165105
- Scopus: eid_2-s2.0-85174028639
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Article: Hermitian topologies originating from non-Hermitian braidings
Title | Hermitian topologies originating from non-Hermitian braidings |
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Authors | |
Issue Date | 2023 |
Citation | Physical Review B, 2023, v. 108, n. 16, article no. 165105 How to Cite? |
Abstract | The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that unifies Hermitian and non-Hermitian systems. Particularly, we derive an elegant identity that equates the linking number between the knots of braiding non-Hermitian bands and the zero-energy loop to the topological invariant of chiral-symmetric topological phases in one dimension. Moreover, we find an exotic class of phase transitions arising from the critical point transforming different knot structures of the non-Hermitian braiding, which are not included in the conventional Hermitian topological phase transition theory. Nevertheless, we show the bulk-boundary correspondence between the bulk non-Hermitian braiding and boundary zero modes of the Hermitian topological insulators. Finally, we construct typical topological phases with non-Hermitian braidings, which can be readily realized by artificial crystals. |
Persistent Identifier | http://hdl.handle.net/10722/335046 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Rui, W. B. | - |
dc.contributor.author | Zhao, Y. X. | - |
dc.contributor.author | Wang, Z. D. | - |
dc.date.accessioned | 2023-10-24T08:28:42Z | - |
dc.date.available | 2023-10-24T08:28:42Z | - |
dc.date.issued | 2023 | - |
dc.identifier.citation | Physical Review B, 2023, v. 108, n. 16, article no. 165105 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/335046 | - |
dc.description.abstract | The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that unifies Hermitian and non-Hermitian systems. Particularly, we derive an elegant identity that equates the linking number between the knots of braiding non-Hermitian bands and the zero-energy loop to the topological invariant of chiral-symmetric topological phases in one dimension. Moreover, we find an exotic class of phase transitions arising from the critical point transforming different knot structures of the non-Hermitian braiding, which are not included in the conventional Hermitian topological phase transition theory. Nevertheless, we show the bulk-boundary correspondence between the bulk non-Hermitian braiding and boundary zero modes of the Hermitian topological insulators. Finally, we construct typical topological phases with non-Hermitian braidings, which can be readily realized by artificial crystals. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review B | - |
dc.title | Hermitian topologies originating from non-Hermitian braidings | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevB.108.165105 | - |
dc.identifier.scopus | eid_2-s2.0-85174028639 | - |
dc.identifier.volume | 108 | - |
dc.identifier.issue | 16 | - |
dc.identifier.spage | article no. 165105 | - |
dc.identifier.epage | article no. 165105 | - |
dc.identifier.eissn | 2469-9969 | - |
dc.identifier.isi | WOS:001087374900003 | - |