META Conference, META'12

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Acoustic analog of graphene: Dirac cones of acoustic surface waves
Daniel Torrent, José Sánchez-Dehesa

Last modified: 2011-11-21

Abstract


The acoustic analog of graphene is presented in this work. The structure under study is a honeycomb lattice of cylindrical boreholes drilled in a plastic plate. It is demonstrated that the spectra of acoustic surface waves propagating on the plate presents Dirac cones at the corners of the hexagons forming the Brillouin zone. Thus, the wave equation describing the field near this point is similar to the wave equation for electrons moving in graphene. The parameters defining this wave equation are obtained as a function of the physical properties of the holes in the honeycomb lattice. Experiments are performed and an excellent agreement with the theoretical predictions is found.


Keywords


graphene, surface waves, metamaterials, Dirac equation, edge states