Anomalous diffusion and conductivity in octagonal tiling models.

摘要: We present numerical calculations of the quantum diffusion over an octagonal quasiperiodic tiling. have studied a one-parameter family Hamiltonians including pure hopping case, Laplacian, and regime where atomic potentials prevail. found that unlimited occurs with anomalous exponents both in regime, spectrum has band structure, strong-coupling Cantor structure. Upon introducing disorder lattice through phasonic fluctuations, exponent increases while localization appears regime. The consequences on conductivity real quasicrystals are considered.