{
  "id": "0907.0424",
  "version": "v2",
  "published": "2009-07-02T16:25:52.000Z",
  "updated": "2011-01-19T18:44:57.000Z",
  "title": "Duality between different geometries of a resonant level in a Luttinger liquid",
  "authors": [
    "Moshe Goldstein",
    "Richard Berkovits"
  ],
  "comment": "4.5 pages, 3 figures; v2: published version",
  "journal": "Phys. Rev. Lett. 104, 106403 (2010)",
  "doi": "10.1103/PhysRevLett.104.106403",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a finite bias voltage. Under this relation the Luttinger liquid parameter g goes into its inverse, and transmittance maps onto reflectance. We then demonstrate how this duality is revealed by the transport properties of the side-coupled case. Conductance is found to exhibit an antiresonance as a function of the level energy, whose width vanishes (enhancing transport) as a power law for low temperature and bias voltage whenever g>1, and diverges (suppressing transport) for g<1. On resonance transmission is always destroyed, unless g is large enough.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-19T18:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.10.Pm",
      "73.23.Hk",
      "73.63.-b"
    ],
    "keywords": [
      "resonant level",
      "geometries",
      "single level quantum dot",
      "luttinger liquid phase",
      "finite bias voltage"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2010,
      "month": "Mar",
      "volume": 104,
      "number": 10,
      "pages": 106403
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvL.104j6403G"
    }
  }
}