{
  "id": "cond-mat/0511310",
  "version": "v2",
  "published": "2005-11-12T19:04:15.000Z",
  "updated": "2006-01-27T01:28:17.000Z",
  "title": "Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect",
  "authors": [
    "N. A. Sinitsyn",
    "Q. Niu",
    "A. H. MacDonald"
  ],
  "comment": "6 pages, 1 fugure. submitted to PRB",
  "journal": "Phys. Rev. B 73, 075318 (2006)",
  "doi": "10.1103/PhysRevB.73.075318",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "We propose a gauge invariant expression for the side jump associated with scattering between particular Bloch states. Our expression for the side jump follows from the Born series expansion for the scattering T-matrix in powers of the strength of the scattering potential. Given our gauge invariant side jump expression, it is possible to construct a semiclassical Boltzmann theory of the anomalous Hall effect which expresses all previously identified contributions in terms of gauge invariant quantities and does not refer explicitly to off-diagonal terms in the density-matrix response.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-27T01:28:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anomalous hall effect",
      "semiclassical boltzmann equation",
      "coordinate shift",
      "gauge invariant side jump expression"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}