Crystalline Soda Can Metamaterial exhibiting Graphene-like Dispersion at subwavelength scale

Abstract

Graphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These intriguing singularities have naturally motivated the discovery of their classical analogues. In this work, we present a general and direct procedure to reproduce the peculiar physics of graphene within a very simple acoustic metamaterial: a double lattice of soda cans resonant at two different frequencies. The first triangular sub-lattice generates a bandgap at low frequency, which induces a tight-binding coupling between the resonant defects of the second Honeycomb one, hence allowing us to obtain a graphene-like band structure. We prove the relevance of this approach by showing that both numerical and experimental dispersion relations exhibit the requested Dirac cone. We also demonstrate the straightforward monitoring of the coupling strength within the crystal of resonant defects. This work shows that crystalline metamaterials are very promising candidates to investigate tantalizing solid-state physics phenomena with classical waves.

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Cited by in corpus (7)

• Topologically protected edge modes in one-dimensional chains of subwavelength resonators
• Honeycomb-lattice Minnaert bubbles
• A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals
• Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates
• Structure-Composition Correspondence in Crystalline Metamaterials for Acoustic Valley-Hall Effect and Unidirectional Sound Guiding
• One-Dimensional Moiré Physics and Chemistry in Heterostrained Bilayer Graphene
• Localized modes on a metasurface through multi-wave interactions