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

Kazuki Sone (), Motohiko Ezawa, Zongping Gong, Taro Sawada, Nobuyuki Yoshioka and Takahiro Sagawa
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Kazuki Sone: University of Tsukuba
Motohiko Ezawa: The University of Tokyo
Zongping Gong: The University of Tokyo
Taro Sawada: The University of Tokyo
Nobuyuki Yoshioka: The University of Tokyo
Takahiro Sagawa: The University of Tokyo

Nature Communications, 2025, vol. 16, issue 1, 1-10

Abstract: 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.

Date: 2025
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DOI: 10.1038/s41467-024-55237-3

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