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.
Liu, Z., & Tian, D. (1992). Vibrational properties of a dodecagonal quasicrystal. Physics Letters A, 168(5–6), 429–432. https://doi.org/10.1016/0375-9601(92)90530-Y