Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model

Ma, Yi-Ping and Susanto, Hadi (2021) Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model. Physical Review E, 104 (5). 054206. ISSN 2470-0045

Topological_edge_solitons_and_their_stability_in_a_nonlinear_Su_Schrieffer_Heeger_model.pdf - Accepted Version

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We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (TI). Based on the topology of the underlying spatial dynamical system, we establish the existence of nonlinear edge states (edge solitons) for all positive energies in the topological band gap. We discover that these edge solitons are stable at any energy when the ratio between the weak and strong couplings is below a critical value. Above the critical coupling ratio, there are energy intervals where the edge solitons experience an oscillatory instability. Though our paper focuses on a photonic system, we also discuss the broader relevance of our methods and results to 1D nonlinear mechanical TIs.

Item Type: Article
Additional Information: Funding information: Research funded by Vice Chancellor's Research Fellowship at Northumbria University. Khalifa University of Science, Technology and Research (FSU-2021-011).
Subjects: F300 Physics
H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 17 Nov 2021 10:52
Last Modified: 17 Nov 2021 11:00

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