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Backscattering-free edge states below all bands in two-dimensional auxetic media

2023/06/13 by Wenting Cheng, Kai Qian, Cheng, Wenting +9
Computer Science · Earth and Planetary Sciences · Engineering · #Acoustic Wave Phenomena Research #Classical Physics (physics.class-ph) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Music Technology and Sound Studies #Soft Condensed Matter (cond-mat.soft) #Underwater Acoustics Research

paper · pdf · doi:10.48550/arxiv.2306.07493

openalex publication_date 2023/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Unidirectional and backscattering-free propagation of sound waves is of fundamental interest in physics, and highly sought-after in engineering. Current strategies utilize topologically protected chiral edge modes in bandgaps, or complex mechanisms involving active constituents or nonlinearity. Here we propose a new class of passive, linear, one-way edge states based on spin-momentum locking of Rayleigh waves in two-dimensional media in the limit of vanishing bulk modulus, which provides 100% unidirectional and backscattering-free edge propagation at a broad range of frequencies instead of residing in gaps between bulk bands. We further show that such modes are characterized by a new topological winding number that is analogous to discrete angular momentum eigenvalues in quantum mechanics. These passive and backscattering-free edge waves have the potential to enable a new class of phononic devices in the form of lattices or continua that work in previously inaccessible frequency ranges.

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