{
  "id": "1705.04158",
  "version": "v1",
  "published": "2017-05-11T13:18:28.000Z",
  "updated": "2017-05-11T13:18:28.000Z",
  "title": "The non-commutative topology of two-dimensional dirty superconductors",
  "authors": [
    "Giuseppe De Nittis",
    "Hermann Schulz-Baldes"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Non-commutative analysis tools have successfully been applied to the integer quantum Hall effect, in particular for a proof of the stability of the Hall conductance in an Anderson localization regime and of the bulk-boundary correspondence. In this work, these techniques are implemented to study two-dimensional dirty superconductors described by Bogoliubov-de Gennes Hamiltonians. After a thorough presentation of the basic framework and the topological invariants, Kubo formulas for the thermal, thermoelectric and spin Hall conductance are analyzed together with the corresponding edge currents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-11T13:18:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-commutative topology",
      "integer quantum hall effect",
      "study two-dimensional dirty superconductors",
      "bogoliubov-de gennes hamiltonians",
      "anderson localization regime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}