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    Double Dirac cones in phononic crystals

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    Type
    Article
    Authors
    Li, Yan
    Wu, Ying cc
    Mei, Jun cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Waves in Complex Media Research Group
    Date
    2014-07-07
    Permanent link to this record
    http://hdl.handle.net/10754/346724
    
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    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
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.4890304
    Scopus Count
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    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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