{
  "id": "cond-mat/0503269",
  "version": "v1",
  "published": "2005-03-11T10:05:47.000Z",
  "updated": "2005-03-11T10:05:47.000Z",
  "title": "Strong disorder renormalization group on fractal lattices: Heisenberg models and magnetoresistive effects in tight binding models",
  "authors": [
    "R. Mélin",
    "B. Douçot",
    "F. Iglói"
  ],
  "comment": "19 pages, 20 figures",
  "journal": "Phys. Rev. B72, 024205 (2005)",
  "doi": "10.1103/PhysRevB.72.024205",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We use a numerical implementation of the strong disorder renormalization group (RG) method to study the low-energy fixed points of random Heisenberg and tight-binding models on different types of fractal lattices. For the Heisenberg model new types of infinite disorder and strong disorder fixed points are found. For the tight-binding model we add an orbital magnetic field and use both diagonal and off-diagonal disorder. For this model besides the gap spectra we study also the fraction of frozen sites, the correlation function, the persistent current and the two-terminal current. The lattices with an even number of sites around each elementary plaquette show a dominant $\\phi_0=h/e$ periodicity. The lattices with an odd number of sites around each elementary plaquette show a dominant $\\phi_0/2$ periodicity at vanishing diagonal disorder, with a positive weak localization-like magnetoconductance at infinite disorder fixed points. The magnetoconductance with both diagonal and off-diagonal disorder depends on the symmetry of the distribution of on-site energies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-11T10:05:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong disorder renormalization group",
      "tight binding models",
      "fractal lattices",
      "heisenberg model",
      "magnetoresistive effects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}