Acoustic graphene network loaded with Helmholtz resonators: A first-principle modeling, Dirac cones, edge and interface waves

Li Yang Zheng, Vassos Achilleos, Ze Guo Chen, Olivier Richoux, Georgios Theocharis, Ying Wu, Jun Mei, Simon Felix, Vincent Tournat, Vincent Pagneux

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this work, we study the propagation of sound waves in a honeycomb waveguide network loaded with Helmholtz resonators (HRs). By using a plane wave approximation in each waveguide we obtain a first-principle modeling of the network, which is an exact mapping to the graphene tight-binding Hamiltonian. We show that additional Dirac points appear in the band diagram when HRs are introduced at the network nodes. It allows to break the inversion (sub-lattice) symmetry by tuning the resonators, leading to the appearence of edge modes that reflect the configuration of the zigzag boundaries. Besides, the dimerization of the resonators also permits the formation of interface modes located in the band gap, and these modes are found to be robust against symmetry preserving defects. Our results and the proposed networks reveal the additional degree of freedom bestowed by the local resonance in tuning the properties of not only acoustical graphene-like structures but also of more complex systems.
Original languageEnglish (US)
Pages (from-to)013029
JournalNew Journal of Physics
Volume22
Issue number1
DOIs
StatePublished - Dec 12 2019

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