Double Dirac cones in phononic crystals

Abstract
A double Dirac cone is realized at the center of the Brillouin zone of a two-dimensional phononic crystal (PC) consisting of a triangular array of core-shell-structure cylinders in water. The double Dirac cone is induced by the accidental degeneracy of two double-degenerate Bloch states. Using a perturbation method, we demonstrate that the double Dirac cone is composed of two identical and overlapping Dirac cones whose linear slopes can also be accurately predicted from the method. Because the double Dirac cone occurs at a relatively low frequency, a slab of the PC can be mapped onto a slab of zero refractive index material by using a standard retrieval method. Total transmission without phase change and energy tunneling at the double Dirac point frequency are unambiguously demonstrated by two examples. Potential applications can be expected in diverse fields such as acoustic wave manipulations and energy flow control.

Citation
Double Dirac cones in phononic crystals 2014, 105 (1):014107 Applied Physics Letters

Publisher
AIP Publishing

Journal
Applied Physics Letters

DOI
10.1063/1.4890304

Additional Links
http://scitation.aip.org/content/aip/journal/apl/105/1/10.1063/1.4890304

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