{
  "id": "cond-mat/0512690",
  "version": "v1",
  "published": "2005-12-28T19:55:30.000Z",
  "updated": "2005-12-28T19:55:30.000Z",
  "title": "Electron drift orbits in crossed electromagnetic fields and the quantum Hall effect",
  "authors": [
    "Tobias Kramer"
  ],
  "comment": "9 pages, 2 figures Slightly updated version, of the book version",
  "journal": "Group theoretical methods in physics. Institute of Physics Conference Series Number 185. Cocoyoc, Mexico, 2004, pp. 353-358, Edited by G.S. Pogosyan, L.E. Vicent and K.B. Wolf",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends solely on the ratio of the electric and magnetic fields and not on the initial momentum of the electron. The present work describes the quantum-mechanical version of this drift-motion, which differs drastically from the classical result: The drift becomes dependent on the energy and a quantization of the transport occurs. The results bear implications for the theory of the quantum Hall effect: Current theories neglect the electric Hall-field (which is perpendicular to a magnetic field) and thus do not include the quantization due to the crossed-field geometry. I will discuss why it is not possible to eliminate the electric field and how one can explain the quantization in crossed fields in a semiclassical picture. These results make it possible to construct an alternative theory of the quantum Hall effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-28T19:55:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall effect",
      "electron drift orbits",
      "crossed electromagnetic fields",
      "electric field",
      "average constant velocity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005cond.mat.12690K"
    }
  }
}