{
  "id": "0804.2334",
  "version": "v1",
  "published": "2008-04-15T18:38:23.000Z",
  "updated": "2008-04-15T18:38:23.000Z",
  "title": "Multifractality at the quantum Hall transition: Beyond the parabolic paradigm",
  "authors": [
    "F. Evers",
    "A. Mildenberger",
    "A. D. Mirlin"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Phys. Rev. Lett. 101, 116803 (2008)",
  "doi": "10.1103/PhysRevLett.101.116803",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We present an ultra-high-precision numerical study of the spectrum of multifractal exponents $\\Delta_q$ characterizing anomalous scaling of wave function moments $<|\\psi|^{2q}>$ at the quantum Hall transition. The result reads $\\Delta_q = 2q(1-q)[b_0 + b_1(q-1/2)^2 + ...]$, with $b_0 = 0.1291\\pm 0.0002$ and $b_1 = 0.0029\\pm 0.0003$. The central finding is that the spectrum is not exactly parabolic, $b_1\\ne 0$. This rules out a class of theories of Wess-Zumino-Witten type proposed recently as possible conformal field theories of the quantum Hall critical point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-15T18:38:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.-f",
      "05.45.Df",
      "71.30.+h",
      "72.15.Rn"
    ],
    "keywords": [
      "quantum hall transition",
      "parabolic paradigm",
      "multifractality",
      "quantum hall critical point",
      "conformal field theories"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Sep",
      "volume": 101,
      "number": 11,
      "pages": 116803
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101k6803E"
    }
  }
}