{
  "id": "1702.08885",
  "version": "v1",
  "published": "2017-02-28T17:53:07.000Z",
  "updated": "2017-02-28T17:53:07.000Z",
  "title": "Locality of the anomalous Hall conductivity",
  "authors": [
    "Antimo Marrazzo",
    "Raffaele Resta"
  ],
  "comment": "4 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that the geometrical AHC has an equivalent expression as a local property. We define a \"geometrical marker\" which actually probes the AHC in inhomogeneous systems (e.g. heterojunctions), as well as in bounded samples. The marker may even include extrinsic contributions of geometrical nature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-28T17:53:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anomalous hall conductivity",
      "extrinsic contributions",
      "reciprocal-space integral",
      "geometrical intrinsic contribution",
      "equivalent expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}