{
  "id": "cond-mat/0311484",
  "version": "v1",
  "published": "2003-11-20T16:58:38.000Z",
  "updated": "2003-11-20T16:58:38.000Z",
  "title": "Correlated quantum percolation in the lowest Landau level",
  "authors": [
    "Nancy Sandler",
    "Hamid Maei",
    "Jane' Kondev"
  ],
  "comment": "15 pages, 12 figures",
  "journal": "Phys. Rev. B 70, 045309 (2004).",
  "doi": "10.1103/PhysRevB.70.045309",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "Our understanding of localization in the integer quantum Hall effect is informed by a combination of semi-classical models and percolation theory. Motivated by the effect of correlations on classical percolation we study numerically electron localization in the lowest Landau level in the presence of a power-law correlated disorder potential. Careful comparisons between classical and quantum dynamics suggest that the extended Harris criterion is applicable in the quantum case. This leads to a prediction of new localization quantum critical points in integer quantum Hall systems with power-law correlated disorder potentials. We demonstrate the stability of these critical points to addition of competing short-range disorder potentials, and discuss possible experimental realizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-20T16:58:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lowest landau level",
      "correlated quantum percolation",
      "power-law correlated disorder potential",
      "integer quantum hall effect",
      "integer quantum hall systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}