{
  "id": "0906.2831",
  "version": "v1",
  "published": "2009-06-16T13:32:37.000Z",
  "updated": "2009-06-16T13:32:37.000Z",
  "title": "Circulating currents and magnetic moments in quantum rings",
  "authors": [
    "Michele Cini",
    "Enrico Perfetto",
    "Gianluca Stefanucci"
  ],
  "comment": "submitted for publication",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "In circuits containing closed loops the operator for the current is determined by charge conservation up to an arbitrary divergenceless current. In this work we propose a formula to calculate the magnetically active circulating current $I_{\\rm ring}$ flowing along a quantum ring connected to biased leads. By {\\em gedanken experiments} we argue that $I_{\\rm ring}$ can be obtained from the response of the gran-canonical energy of the ring to an external magnetic flux. The results agree with those of the conventional approach in the case of isolated rings. However, for connected rings $I_{\\rm ring}$ cannot be obtained as a linear combination of bond currents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-16T13:32:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic moments",
      "quantum ring",
      "external magnetic flux",
      "bond currents",
      "linear combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2831C"
    }
  }
}