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Observation of topological valley transport of sound in sonic crystals (1709.05920v1)

Published 7 Jul 2017 in cond-mat.mes-hall and physics.app-ph

Abstract: Valley pseudospin, labeling quantum states of energy extrema in momentum space, is attracting tremendous attention1-13 because of its potential in constructing new carrier of information. Compared with the non-topological bulk valley transport realized soon after predictions1-5, the topological valley transport in domain walls6-13 is extremely challenging owing to the inter-valley scattering inevitably induced by atomic scale imperfectness, until the recent electronic signature observed in bilayer graphene12,13. Here we report the first experimental observation of topological valley transport of sound in sonic crystals. The macroscopic nature of sonic crystals permits the flexible and accurate design of domain walls. In addition to a direct visualization of the valley-selective edge modes through spatial scanning of sound field, reflection immunity is observed in sharply curved interfaces. The topologically protected interface transport of sound, strikingly different from that in traditional sound waveguides14,15, may serve as the basis of designing devices with unconventional functions.

Citations (749)

Summary

  • The paper experimentally demonstrates topologically protected sound propagation via valley-selective edge modes in sonic crystals.
  • It employs a 2D triangular lattice with rotated scatterers to break mirror symmetry and induce an acoustic valley Hall phase.
  • The observed edge modes propagate without reflection along sharply curved paths, offering new avenues for acoustic device innovation.

Overview of Topological Valley Transport of Sound in Sonic Crystals

The paper reports a novel experimental observation of topological valley transport of sound in sonic crystals. Sonic crystals present a macroscopic analog to quantum systems, offering opportunities to investigate complex quantum phenomena like topological phases and valley transport. Through carefully designed configurations, the authors provide evidence for topologically protected sound propagation in the form of valley-selective edge modes that are immune to backscattering, even in complicated geometrical paths.

Experimental Design and Observations

The experiments utilize two-dimensional sonic crystals composed of triangular scatterers arranged in a triangular lattice. By rotating these scatterers, the authors break mirror symmetry, inducing an acoustic version of the topological semimetal-insulator transition. Specifically, they observe a transition to an acoustic valley Hall (AVH) phase, analogous to electronic systems such as bilayer graphene. The key observation is that rotation of these scatterers leads to the closure and reopening of band gaps, an indication of the AVH phase transition.

Crucially, experimental observations show that these AVH edge states can propagate without reflection even along sharply curved paths. This characteristic is confirmed in simulations and through direct measurements of transmitted sound, with weak backscattering observed in zigzag paths and sharp corners.

Numerical and Theoretical Analysis

The authors use a continuum model based on the k·p perturbation theory to describe the valley-projected edge states. They demonstrate the AVH edge states' dispersion by deriving an edge state solution characterized by a linear dispersion relationship, consistent with experimental observations. Numerical simulations support these findings, showing robust edge states in various configurations and verifying their linear dispersion. These simulations are complemented by bandgap measurements and field distributions around the edge states.

Implications and Future Directions

The results highlight the potential of using sonic crystals as classical analogs to paper complex quantum mechanical behaviors, particularly those concerning topological phases and valley transport phenomena. The established ability to manipulate topological phases through macroscopic geometrical control has implications for future research and applications in acoustic devices. Specifically, the reflection immunity and valley-selective transport properties suggest potential advancements in sound signal processing and the design of sound-based topological insulators.

Future work could expand on this approach by exploring other geometrical or material modifications to tune the operational bandwidth or the interface's reconfigurability further. Moreover, the extension of these topological concepts to other classical wave systems, such as optics or electromagnetism, could open new avenues for research into topologically protected transport phenomena in diverse physical platforms.