{
  "id": "1503.07456",
  "version": "v1",
  "published": "2015-03-25T16:56:26.000Z",
  "updated": "2015-03-25T16:56:26.000Z",
  "title": "Topological classification of k.p Hamiltonians for Chern insulators",
  "authors": [
    "Frank Kirtschig",
    "Jeroen van den Brink",
    "Carmine Ortix"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We proof the existence of two different topological classes of low-energy k.p Hamiltonians for Chern insulators. Using the paradigmatic example of single-valley two-band models, we show that k.p Hamiltonians that we dub local have a topological invariant corresponding precisely to the Hall conductivity and linearly dispersing chiral midgap edge states at the expansion point. Non-local k.p Hamiltonians have a topological invariant that is twice the Hall conductivity of the system. This class is characterized by a non-local bulk-edge correspondence with midgap edge states appearing away from the high-symmetry k.p expansion point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-25T16:56:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chern insulators",
      "hamiltonians",
      "topological classification",
      "hall conductivity",
      "midgap edge states appearing away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}