{
  "id": "1505.03166",
  "version": "v1",
  "published": "2015-05-01T18:30:15.000Z",
  "updated": "2015-05-01T18:30:15.000Z",
  "title": "Multifractality and quantum diffusion from self-consistent theory of localization",
  "authors": [
    "I. M. Suslov"
  ],
  "comment": "Latex, 19 pages, 7 figures included",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Multifractal properties of wave functions in a disordered system can be derived from self-consistent theory of localization by Vollhardt and Woelfle. A diagrammatic interpretation of results allows to obtain all scaling relations used in numerical experiments. The arguments are given that the one-loop Wegner result for a space dimension d=2+\\epsilon may appear to be exact, so the multifractal spectrum is strictly parabolical. The \\sigma-models are shown to be deficient at the four-loop level and the possible reasons of that are discussed. The extremely slow convergence to the thermodynamic limit is demonstrated. The open question on the relation between multifractality and a spatial dispersion of the diffusion coefficient D(\\omega,q) is resolved in the compromise manner due to ambiguity of the D(\\omega,q) definition. Comparison is made with the extensive numerical material.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-01T18:30:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-consistent theory",
      "quantum diffusion",
      "multifractality",
      "localization",
      "one-loop wegner result"
    ],
    "publication": {
      "doi": "10.1134/S1063776115110096",
      "journal": "Soviet Journal of Experimental and Theoretical Physics",
      "year": 2015,
      "month": "Nov",
      "volume": 121,
      "number": 5,
      "pages": 885
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JETP..121..885S"
    }
  }
}