Existence and characterization of edge states in an acoustic trimer Su-Schrieffer-Heeger model

2024/01/25 by Sougleridis, I. Ioannou, Anastasiadis, A., Richoux, O. +4 · 2 citations
#Applied Physics (physics.app-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2401.14264

Abstract

We report on a direct mapping of acoustic slender waveguides to the one dimensional trimer Su- Schrieffer-Heeger model, with neither chiral nor mirror symmetry. Importantly, we can choose to perform this mapping for either the acoustic velocity or pressure. We demonstrate that, for finite systems, this choice is necessarily linked to the boundary conditions. It allows for the unveiling of the edge states of the acoustic system through an edge state phase diagram. An experimental realization of our setup in the audible regime corroborates our theoretical predictions.

Cited by

• Nontrivial topology in one- and two-dimensional asymmetric systems with chiral boundary states
• Zak Phase Dislocations in Trimer Lattices

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