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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2013

Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates

Daniel Torrent
Didier Mayou
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J. Sánchez-Dehesa

Résumé

An elastic analog of graphene is introduced and analyzed. The system consists of a honeycomb arrangement of spring-mass resonators attached to a thin elastic layer, and the propagation properties of flexural waves along it is studied. The band-structure calculation shows the presence of Dirac points near the K point of the Brillouin zone. Analytical expressions are found for both Dirac frequency and velocity as a function of the resonator's parameters. Finally, the bounded modes of infinitely long ribbons of this honeycomb arrangement are analyzed. The presence of edge states, which are studied using multiple scattering theory, is shown. It is concluded that these structures can be used to control the propagation of flexural waves in thin plates.

Dates et versions

hal-01002060 , version 1 (05-06-2014)

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Citer

Daniel Torrent, Didier Mayou, J. Sánchez-Dehesa. Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 87 (11), pp.115143. ⟨10.1103/PhysRevB.87.115143⟩. ⟨hal-01002060⟩

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