{
  "id": "cond-mat/0008163",
  "version": "v2",
  "published": "2000-08-10T09:54:25.000Z",
  "updated": "2000-11-28T13:53:11.000Z",
  "title": "Quantum Hall Transition in the Classical Limit",
  "authors": [
    "V. Gurarie",
    "A. Zee"
  ],
  "comment": "8 pages, 4 figures; substantial changes include the critical conductivity calculation",
  "journal": "Int. J. Mod. Phys. 15, 1225 (2001)",
  "doi": "10.1142/S0217979201004794",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the quantum Hall transition using the density-density correlation function. We show that in the limit h->0 the electron density moves along the percolating trajectories, undergoing normal diffusion. The localization exponent coincides with its percolation value \\nu=4/3. The framework provides a natural way to study the renormalization group flow from percolation to quantum Hall transition. We also confirm numerically that the critical conductivity of a classical limit of quantum Hall transition is \\sigma_{xx} = \\sqrt{3}/4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-11-28T13:53:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall transition",
      "classical limit",
      "density-density correlation function",
      "renormalization group flow",
      "electron density moves"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}