Realization of non-Hermitian Hopf bundle matter
Abstract Non-trivial linking invariant encodes robust information of topological matter. It has been recently shown that the linking and winding of complex eigenenergy strings can classify one-dimensional non-Hermitian topological matter. However, in higher dimensions, bundles of linked strings can...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-09-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-023-01381-z |
| _version_ | 1797559226779828224 |
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| author | Yung Kim Hee Chul Park Minwook Kyung Kyungmin Lee Jung-Wan Ryu Oubo You Shuang Zhang Bumki Min Moon Jip Park |
| author_facet | Yung Kim Hee Chul Park Minwook Kyung Kyungmin Lee Jung-Wan Ryu Oubo You Shuang Zhang Bumki Min Moon Jip Park |
| author_sort | Yung Kim |
| collection | DOAJ |
| description | Abstract Non-trivial linking invariant encodes robust information of topological matter. It has been recently shown that the linking and winding of complex eigenenergy strings can classify one-dimensional non-Hermitian topological matter. However, in higher dimensions, bundles of linked strings can emerge such that every string is mutually linked with all the other strings. To the best of our knowledge, a non-Hermitian Hopf bundle has not been experimentally clarified. Here, we attempt to explore the non-Hermitian Hopf bundle by visualizing the global linking structure of spinor strings in the momentum space of a two-dimensional electric circuit. By exploiting the flexibility of reconfigurable couplings between circuit nodes, we study the non-Hermitian topological phase transition by exploring the intricate structure of the Hopf bundle. Furthermore, we find that the higher-order skin effect in real space is accompanied by the linking of spinor strings in momentum space, revealing bulk-boundary correspondence between the two domains. |
| first_indexed | 2024-03-10T17:42:22Z |
| format | Article |
| id | doaj.art-09f3d9bec2cc462c9bd43992e5dd147b |
| institution | Directory Open Access Journal |
| issn | 2399-3650 |
| language | English |
| last_indexed | 2024-03-10T17:42:22Z |
| publishDate | 2023-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj.art-09f3d9bec2cc462c9bd43992e5dd147b2023-11-20T09:39:15ZengNature PortfolioCommunications Physics2399-36502023-09-01611710.1038/s42005-023-01381-zRealization of non-Hermitian Hopf bundle matterYung Kim0Hee Chul Park1Minwook Kyung2Kyungmin Lee3Jung-Wan Ryu4Oubo You5Shuang Zhang6Bumki Min7Moon Jip Park8Department of Physics, Korea Advanced Institute of Science and Technology (KAIST)Center for Theoretical Physics of Complex Systems, Institute for Basic ScienceDepartment of Physics, Korea Advanced Institute of Science and Technology (KAIST)Department of Physics, Korea Advanced Institute of Science and Technology (KAIST)Center for Theoretical Physics of Complex Systems, Institute for Basic ScienceDepartment of Physics, University of Hong KongDepartment of Physics, University of Hong KongDepartment of Physics, Korea Advanced Institute of Science and Technology (KAIST)Center for Theoretical Physics of Complex Systems, Institute for Basic ScienceAbstract Non-trivial linking invariant encodes robust information of topological matter. It has been recently shown that the linking and winding of complex eigenenergy strings can classify one-dimensional non-Hermitian topological matter. However, in higher dimensions, bundles of linked strings can emerge such that every string is mutually linked with all the other strings. To the best of our knowledge, a non-Hermitian Hopf bundle has not been experimentally clarified. Here, we attempt to explore the non-Hermitian Hopf bundle by visualizing the global linking structure of spinor strings in the momentum space of a two-dimensional electric circuit. By exploiting the flexibility of reconfigurable couplings between circuit nodes, we study the non-Hermitian topological phase transition by exploring the intricate structure of the Hopf bundle. Furthermore, we find that the higher-order skin effect in real space is accompanied by the linking of spinor strings in momentum space, revealing bulk-boundary correspondence between the two domains.https://doi.org/10.1038/s42005-023-01381-z |
| spellingShingle | Yung Kim Hee Chul Park Minwook Kyung Kyungmin Lee Jung-Wan Ryu Oubo You Shuang Zhang Bumki Min Moon Jip Park Realization of non-Hermitian Hopf bundle matter Communications Physics |
| title | Realization of non-Hermitian Hopf bundle matter |
| title_full | Realization of non-Hermitian Hopf bundle matter |
| title_fullStr | Realization of non-Hermitian Hopf bundle matter |
| title_full_unstemmed | Realization of non-Hermitian Hopf bundle matter |
| title_short | Realization of non-Hermitian Hopf bundle matter |
| title_sort | realization of non hermitian hopf bundle matter |
| url | https://doi.org/10.1038/s42005-023-01381-z |
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