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 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 nonlinea

SUBMITTER: Sone K 

PROVIDER: S-EPMC11779912 | biostudies-literature | 2025 Jan

REPOSITORIES: biostudies-literature