{
  "id": "1204.4017",
  "version": "v2",
  "published": "2012-04-18T08:57:53.000Z",
  "updated": "2012-10-08T09:06:27.000Z",
  "title": "Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings",
  "authors": [
    "Stefanie Thiem",
    "Michael Schreiber"
  ],
  "comment": "15 pages, 20 figures",
  "journal": "Phys. Rev. B 85, 224205 (2012)",
  "doi": "10.1103/PhysRevB.85.224205",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-08T09:06:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.23.Ft",
      "71.15.-m",
      "72.15.-v"
    ],
    "keywords": [
      "renormalization group approach",
      "wave packet dynamics",
      "silver-mean labyrinth tilings",
      "golden-mean",
      "strong quasiperiodic modulation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "Jun",
      "volume": 85,
      "number": 22,
      "pages": 224205
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..85v4205T"
    }
  }
}