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Experimental study of Su-Schrieffer-Heeger edge modes for water waves in linear and nonlinear regimes
Phys. Rev. B 111, 224311 – Published 30 June, 2025
DOI: https://doi.org/10.1103/4k33-6ymm
Abstract
This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating widths, we replicate the key features of the SSH model, leading to the emergence of robust zero-energy sloshing edge modes localized at the boundaries. Experimental data show excellent agreement with theoretical predictions, supported by two-dimensional numerical simulations. In the nonlinear regime, two distinct bifurcations are observed, indicating the appearance of secondary resonances. This study highlights the relevance of the SSH model for water-wave systems and provides an accessible method to explore topological edge states in classical wave systems.