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

Yiping Ma*, Hadi Susanto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Article number054206
Number of pages7
JournalPhysical Review E
Volume104
Issue number5
Early online date11 Nov 2021
DOIs
Publication statusPublished - Nov 2021

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