{
  "id": "1305.7433",
  "version": "v1",
  "published": "2013-05-31T14:53:26.000Z",
  "updated": "2013-05-31T14:53:26.000Z",
  "title": "Parity measurement in topological Josephson junctions",
  "authors": [
    "François Crépin",
    "Björn Trauzettel"
  ],
  "comment": "4 and half pages, 2 figures",
  "journal": "Phys. Rev. Lett. 112, 077002 (2014)",
  "doi": "10.1103/PhysRevLett.112.077002",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the properties of a topological Josephson junction made of both edges of a 2D topological insulator. We show that, due to fermion parity pumping across the bulk, the global parity of the junction has a clear signature in the periodicity and critical value of the Josephson current. In particular, we find that the periodicity with the flux changes from $4\\pi$ in a junction with an even number of quasi-particles to $2\\pi$ in the odd sector. In the case of long junctions, we exhibit a rigorous mathematical connection between the spectrum of Andreev bound-states and the fermion parity anomaly, through bosonization. Additionally, we discuss the rather quantitative effects of Coulomb interactions on the Josephson current.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-31T14:53:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.45.+c",
      "71.10.Pm",
      "74.78.Na"
    ],
    "keywords": [
      "topological josephson junction",
      "parity measurement",
      "fermion parity",
      "josephson current",
      "2d topological insulator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2014,
      "month": "Feb",
      "volume": 112,
      "number": 7,
      "pages": "077002"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvL.112g7002C"
    }
  }
}