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

## TL;DR

This paper demonstrates how a simple acoustic metamaterial composed of soda cans arranged in a double lattice can mimic graphene's unique Dirac cone dispersion, enabling classical wave studies of solid-state physics phenomena.

## Contribution

It introduces a straightforward method to replicate graphene-like band structures in acoustic metamaterials using a double lattice of soda cans, combining numerical and experimental validation.

## Key findings

- Successful reproduction of Dirac cones in acoustic metamaterials
- Experimental verification of graphene-like dispersion relations
- Ability to monitor coupling strength within the resonant defect lattice

## 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.