Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-04-18
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
15 pages, 20 figures
Scientific paper
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 the 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.
Schreiber Michael
Thiem Stefanie
No associations
LandOfFree
Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-411400