Renormalization group approach for the wave packet dynamics in golden-mean and silver-mean labyrinth tilings

Article

关键词: QUASI-PERIODIC SYSTEMS;    ELECTRONIC-PROPERTIES;    ANOMALOUS DIFFUSION;    QUANTUM DYNAMICS;    CRYSTALS;    TRANSPORT;    SPECTRUM;    MODEL;    CONDUCTIVITY;   

DOI  :  10.1103/PhysRevB.85.224205

来源: SCIE

【 摘 要 】

We study the quantum diffusion in quasiperiodic tight-binding models in one, two, and three dimensions. First, we investigate a class of one-dimensional quasiperiodic chains, in which the atoms are coupled by weak and strong bonds aligned according to the metallic-mean sequences. The associated generalized labyrinth tilings in d dimensions are then constructed from the direct product of d such chains, which allows us to consider rather large systems numerically. The electronic transport is studied by computing the scaling behavior of the mean-square displacement of the wave packets with respect to time. The results reveal the occurrence of anomalous diffusion in these systems. By extending a renormalization group approach, originally proposed for the golden-mean chain, we show also for the silver-mean chain as well as for the higher-dimensional labyrinth tilings that in the regime of strong quasiperiodic modulation the wave-packet dynamics are governed by the underlying quasiperiodic structure.

【 授权许可】

Free