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Topological edge solitons in the non-Hermitian nonlinear Su-Schrieffer-Heeger model

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  • Bocharov, A.A.

Abstract

The Su-Schrieffer-Heeger model is the simplest one-dimensional model showing the characteristic features of topological insulators. Its most interesting property is the appearance of a solution of the edge state or edge soliton in a topologically nontrivial phase determined by the system parameters. Recently, the authors have been investigating generalizations of such a system in two different aspects, both through the inclusion of nonlinearity in the model, and considering the effects of gain and loss. This paper provides an example of accounting for both of these mechanisms. It is shown that for a given gain parameter, there is a region of loss parameters where protected edge solitons are also implemented. Passing the critical value of the loss parameter, the stationary edge soliton becomes oscillating. It is interesting that there are regimes in which the edge soliton, while maintaining spatial localization, demonstrates chaotic temporal dynamics. Analytical estimates characterizing the properties of solutions are given.

Suggested Citation

  • Bocharov, A.A., 2023. "Topological edge solitons in the non-Hermitian nonlinear Su-Schrieffer-Heeger model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004460
    DOI: 10.1016/j.chaos.2023.113545
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    Cited by:

    1. Bocharov, Andrey A., 2023. "Stationary states and dynamic regimes for a nonlinear asymmetric trimer with gain and loss," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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