2001/11/30 by François Triozon, F. Triozon, Julien Vidal +5 · 4 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Condensed matter physics #Eigenvalues and eigenvectors #Mathematics #Physics #Quantum #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Quasiperiodic function #Statistical physics #Theoretical and Computational Physics #Wave packet #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.65.220202
published as Phys. Rev. B 65, 220202 (2002) · 4 pages, 8 EPS figures
arxiv created 2001/11/30 · openalex publication_date 2002/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the properties of electronic states in two- and three-dimensional quasiperiodic structures: the generalized Rauzy tilings. Exact diagonalizations, limited to clusters with a few thousands sites, suggest that eigenstates are critical and more extended at the band edges than at the band center. These trends are clearly confirmed when we compute the spreading of energy-filtered wave packets, using an algorithm that allows us to treat systems of about 106 sites. The present approach to quantum dynamics, which gives also access to the low-frequency conductivity, opens interesting perspectives in the analyzis of two- and three-dimensional models.