Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model

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.

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Publication Details

Journal
Nature Communications
Published
2025-01-29
DOI
https://doi.org/10.1038/s41467-024-55237-3
Citations
16
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
19.95

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article

Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model

Zongping Gong, Taro Sawada, Kazuki Sone, Motohiko Ezawa et al.
16 citations
Nature Communications
Topological Materials and Phenomena
19.95
article

Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model

Zongping Gong, Taro Sawada, Kazuki Sone, Motohiko Ezawa, Nobuyuki Yoshioka, Takahiro Sagawa
article en
16 citations

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.

Nature CommunicationsVol. 16(1)
Pioneer (United States) (US), University of Tsukuba (JP), Japan Science and Technology Agency (JP), The University of Tokyo (JP)
Ministry of Education, Culture, Sports, Science and Technology, University of Tokyo, Japan Society for the Promotion of Science, Japan Science and Technology Agency, Division of Materials Research, Core Research for Evolutional Science and Technology, Precursory Research for Embryonic Science and Technology, Exploratory Research for Advanced Technology
Openalex Percentile: Top 0%
Topological Materials and Phenomena
19.95
DOIOpen Access PDFOpenAlex
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Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model — Zongping Gong, Taro Sawada, et al. · Nature Communications (2025) | TGRS Research Map | TGRS