Vibrational properties of a dodecagonal quasicrystal

  • Liu Z
  • Tian D
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The vibrational densities of states for a dodecagonal lattice in an isotropic model and an anisotropic model are calculated. Anomalous behaviors at low frequency are observed, which are explained as the crossovers from phonon excitations to fracton-like excitations. At high frequency, a few characteristics peaks are observed, which are found to be contributed by a few non-extended vibrational modes. © 1992.

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  • Zhengyou Liu

  • Decheng Tian

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