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Floquet states on disclinations

Author

Listed:
  • Sabour, K.
  • Ivanov, S.K.
  • Ferrando, A.
  • Kartashov, Y.V.

Abstract

We show that periodic longitudinal modulation of a waveguide arrays with disclination can result in the appearance of previously unexplored Floquet modes bound to the disclination core. Such modes arise due to oscillations of the waveguides in the array, periodically switching the structure between topological and trivial phases on each modulation period, so that on average it seems trivial. Localization of such modes depends on the amplitude of waveguide oscillations. Depending on the discrete rotational symmetry of the arrays with disclinations, these modes exhibit distinct spatial profiles unattainable in periodic lattices. Propagation in a medium with focusing cubic nonlinearity reveals that these Floquet states remain localized below a critical power threshold, indicating on the possibility of formation of disclination-bound Floquet solitons. Our results unveil a new regime of localization in photonic systems, bridging disclination topology, Floquet engineering, and nonlinearity.

Suggested Citation

  • Sabour, K. & Ivanov, S.K. & Ferrando, A. & Kartashov, Y.V., 2026. "Floquet states on disclinations," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925017564
    DOI: 10.1016/j.chaos.2025.117743
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    References listed on IDEAS

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    1. Christopher W. Peterson & Tianhe Li & Wentao Jiang & Taylor L. Hughes & Gaurav Bahl, 2021. "Trapped fractional charges at bulk defects in topological insulators," Nature, Nature, vol. 589(7842), pages 376-380, January.
    2. Ivanov, Sergey K. & Kartashov, Yaroslav V., 2024. "Floquet valley Hall edge solitons," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
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