Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic network

Abstract

In this work, we experimentally report the acoustic realization the two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model in a simple network of air channels. We analytically study the steady state dynamics of the system using a set of discrete equations for the acoustic pressure, leading to the 2D SSH Hamiltonian matrix without using tight binding approximation. By building an acoustic network operating in audible regime, we experimentally demonstrate the existence of topological band gap. More supremely, within this band gap we observe the associated edge waves even though the system is open to free space. Our results not only experimentally demonstrate topological edge waves in a zero Berry curvature system but also provide a flexible platform for the study of topological properties of sound waves.

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Cited by in corpus (26)

• Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to Su-Schrieffer-Heeger model
• Topologically protected edge modes in one-dimensional chains of subwavelength resonators
• $2^n$-root weak, Chern, and higher-order topological insulators, and $2^n$-root topological semimetals
• Three-dimensional higher-order topological acoustic system with multidimensional topological states
• Robustness of topological corner modes against disorder and application to acoustic networks
• Simulation of topological phases with color center arrays in phononic crystals
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Higher-order topological phases emerging from the Su-Schrieffer-Heeger stacking
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Observation of Gapped Dirac Cones in a Two-Dimensional Su-Schrieffer-Heeger Lattice
• Hidden symmetries in acoustic wave systems
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Topological two-dimensional Su-Schrieffer-Heeger analogue acoustic networks: Total reflection at corners and corner induced modes
• Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Tailoring higher-order topological phases via orbital hybridization
• Exotic quantum light-matter interactions in bilayer square lattices
• Fragile dislocation modes in obstructed atomic topological phases
• Topological optical and phononic interface mode by simultaneous band inversion
• Single $\pi$-flux hosting topological defect modes in bilayer acoustic metamaterials