Quantum dynamics in two- and three-dimensional quasiperiodic tilings

摘要: We investigate the properties of electronic states in two- and three-dimensional quasiperiodic structures: generalized Rauzy tilings. Exact diagonalizations, limited to clusters with a few thousands sites, suggest that eigenstates are critical more extended at band edges than center. These trends clearly confirmed when we compute spreading energy-filtered wave packets, using an algorithm allows us treat systems about ${10}^{6}$ sites. The present approach quantum dynamics, which gives also access low-frequency conductivity, opens interesting perspectives analyzis models.