{
  "id": "cond-mat/0209618",
  "version": "v2",
  "published": "2002-09-26T15:37:07.000Z",
  "updated": "2003-07-14T12:50:02.000Z",
  "title": "$f(α)$ Multifractal spectrum at strong and weak disorder",
  "authors": [
    "E. Cuevas"
  ],
  "comment": "RevTex4, 6 two-column pages, 4 .eps figures, new results added, updated references, to be published in Phys. Rev. B",
  "journal": "Phys. Rev. B 68, 024206 (2003)",
  "doi": "10.1103/PhysRevB.68.024206",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall"
  ],
  "abstract": "The system size dependence of the multifractal spectrum $f(\\alpha)$ and its singularity strength $\\alpha$ is investigated numerically. We focus on one-dimensional (1D) and 2D disordered systems with long-range random hopping amplitudes in both the strong and the weak disorder regime. At the macroscopic limit, it is shown that $f(\\alpha)$ is parabolic in the weak disorder regime. In the case of strong disorder, on the other hand, $f(\\alpha)$ strongly deviates from parabolicity. Within our numerical uncertainties it has been found that all corrections to the parabolic form vanish at some finite value of the coupling strength.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-14T12:50:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multifractal spectrum",
      "weak disorder regime",
      "long-range random hopping amplitudes",
      "parabolic form",
      "strong disorder"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}