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 characteristic peaks are observed, which are found to be contributed by a few non-extended vibrational models.
部门归属
acad sinica,int ctr mat phys,shenyang 110015,peoples r china.;liu, zy (reprint author), wuhan univ,dept phys,wuhan 430072,peoples r china
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