Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model
Abstract Recent studies on topological materials are expanding into the nonlinear regime, while the central principle, namely the bulk–edge correspondence, is yet to be elucidated in the strongly nonlinear regime. Here, we reveal that nonlinear topological edge modes can exhibit the transition to sp...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-55237-3 |
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| _version_ | 1832571543741267968 |
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| author | Kazuki Sone Motohiko Ezawa Zongping Gong Taro Sawada Nobuyuki Yoshioka Takahiro Sagawa |
| author_facet | Kazuki Sone Motohiko Ezawa Zongping Gong Taro Sawada Nobuyuki Yoshioka Takahiro Sagawa |
| author_sort | Kazuki Sone |
| collection | DOAJ |
| description | Abstract Recent studies on topological materials are expanding into the nonlinear regime, while the central principle, namely the bulk–edge correspondence, is yet to be elucidated in the strongly nonlinear regime. Here, we reveal that nonlinear topological edge modes can exhibit the transition to spatial chaos by increasing nonlinearity, which can be a universal mechanism of the breakdown of the bulk–edge correspondence. Specifically, we unveil the underlying dynamical system describing the spatial distribution of zero modes and show the emergence of chaos. We also propose the correspondence between the absolute value of the topological invariant and the dimension of the stable manifold under sufficiently weak nonlinearity. Our results provide a general guiding principle to investigate the nonlinear bulk–edge correspondence that can potentially be extended to arbitrary dimensions. |
| format | Article |
| id | doaj-art-bfd420c5e8164d309297ae001b6d92e8 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-bfd420c5e8164d309297ae001b6d92e82025-02-02T12:33:35ZengNature PortfolioNature Communications2041-17232025-01-0116111010.1038/s41467-024-55237-3Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger modelKazuki Sone0Motohiko Ezawa1Zongping Gong2Taro Sawada3Nobuyuki Yoshioka4Takahiro Sagawa5Department of Physics, University of TsukubaDepartment of Applied Physics, The University of TokyoDepartment of Applied Physics, The University of TokyoDepartment of Applied Physics, The University of TokyoDepartment of Applied Physics, The University of TokyoDepartment of Applied Physics, The University of TokyoAbstract Recent studies on topological materials are expanding into the nonlinear regime, while the central principle, namely the bulk–edge correspondence, is yet to be elucidated in the strongly nonlinear regime. Here, we reveal that nonlinear topological edge modes can exhibit the transition to spatial chaos by increasing nonlinearity, which can be a universal mechanism of the breakdown of the bulk–edge correspondence. Specifically, we unveil the underlying dynamical system describing the spatial distribution of zero modes and show the emergence of chaos. We also propose the correspondence between the absolute value of the topological invariant and the dimension of the stable manifold under sufficiently weak nonlinearity. Our results provide a general guiding principle to investigate the nonlinear bulk–edge correspondence that can potentially be extended to arbitrary dimensions.https://doi.org/10.1038/s41467-024-55237-3 |
| spellingShingle | Kazuki Sone Motohiko Ezawa Zongping Gong Taro Sawada Nobuyuki Yoshioka Takahiro Sagawa Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model Nature Communications |
| title | Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model |
| title_full | Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model |
| title_fullStr | Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model |
| title_full_unstemmed | Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model |
| title_short | Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model |
| title_sort | transition from the topological to the chaotic in the nonlinear su schrieffer heeger model |
| url | https://doi.org/10.1038/s41467-024-55237-3 |
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