{
  "id": "1206.0099",
  "version": "v1",
  "published": "2012-06-01T07:04:07.000Z",
  "updated": "2012-06-01T07:04:07.000Z",
  "title": "Metallic phase of the quantum Hall effect in four-dimensional space",
  "authors": [
    "J. M. Edge",
    "J. Tworzydło",
    "C. W. J. Beenakker"
  ],
  "comment": "4+epsilon pages, 3 figures",
  "journal": "Phys. Rev. Lett. 109, 135701 (2012)",
  "doi": "10.1103/PhysRevLett.109.135701",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the phase diagram of the quantum Hall effect in four-dimensional (4D) space. Unlike in 2D, in 4D there exists a metallic as well as an insulating phase, depending on the disorder strength. The critical exponent $\\nu\\approx 1.2$ of the diverging localization length at the quantum Hall insulator-to-metal transition differs from the semiclassical value $\\nu=1$ of 4D Anderson transitions in the presence of time-reversal symmetry. Our numerical analysis is based on a mapping of the 4D Hamiltonian onto a 1D dynamical system, providing a route towards the experimental realization of the 4D quantum Hall effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-01T07:04:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.70.Tg",
      "72.15.Rn",
      "73.43.Nq"
    ],
    "keywords": [
      "metallic phase",
      "four-dimensional space",
      "quantum hall insulator-to-metal transition differs",
      "4d quantum hall effect",
      "4d anderson transitions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Sep",
      "volume": 109,
      "number": 13,
      "pages": 135701
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.109m5701E"
    }
  }
}