Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces

Ekaterina O. Smolina, Lev A. Smirnov, Daniel Leykam, Daria A. Smirnova

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We study localized nonlinear modes guided by the valley-Hall domain walls in staggered photonic graphene. We describe their propagation dynamics in the long-wavelength limit by a nonlinear Dirac-like model including spatial dispersion terms. It leads to a modified nonlinear Schrödinger equation for the wave-field amplitude that remarkably incorporates a nonlinear velocity term. We find that this nonlinear velocity correction results in a counterintuitive stabilization effect for relatively high-amplitude plane-wave-like edge states, which we confirm by calculation of complex-valued small-amplitude perturbation spectra and direct numerical simulation of propagation dynamics in staggered honeycomb waveguide lattices with on-site Kerr nonlinearity. Our results highlight the importance of taking into account higher-order nonlinearities in topological wave media and are relevant to a variety of nonlinear photonic systems described by Dirac-like Hamiltonians.

    Original languageEnglish
    Article numberL061501
    JournalPhysical Review A
    Volume108
    Issue number6
    DOIs
    Publication statusPublished - Dec 2023

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