Thresholdless nonlinearity-induced edge solitons in trimer arrays

2025/02/26 by Magnus Johansson, Johansson, Magnus · 1 voice
Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #Other Condensed Matter (cond-mat.other) #Pattern Formation and Solitons (nlin.PS) #cond-mat.other #nlin.PS #physics.optics

paper · pdf · doi:10.48550/arxiv.2502.19330

Abstract

We consider a one-dimensional discrete nonlinear Schrödinger (DNLS) model with Kerr-type on-site nonlinearity, where the nearest-neighbor coupling constants take two different values ordered in a three-periodic sequence. The existence of localized edge states in the linear limit (Su-Schrieffer-Heeger trimer, SSH3) is known to depend on the precise location of the edge. Here, we show that for a termination that does not support linear edge states, an arbitrarily weak on-site nonlinearity will induce an edge mode with asymptotic exponential localization, bifurcating from a linear band edge. Close to the gap edge, the shape of the mode can be analytically described in a continuum approximation as one half of a standard gap soliton. The linear stability properties of nonlinear edge modes are also discussed.

Discussions

• Magnus Johansson: Thresholdless nonlinearity-induced edge solitons in trimer arrays https://arxiv.org/abs/2502.19330 https://arxiv.org/pdf/2502.19330 https://arxiv.org/html/2502.19330 [bsky, 0 points, 1 comments]

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