{
  "id": "1611.08659",
  "version": "v1",
  "published": "2016-11-26T05:18:52.000Z",
  "updated": "2016-11-26T05:18:52.000Z",
  "title": "Nagaoka's theorem in the Holstein-Hubbard model",
  "authors": [
    "Tadahiro Miyao"
  ],
  "comment": "21 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Nagaoka's theorem on ferromagnetism in the Hubbard model is extended to the Holstein-Hubbard model. This shows that Nagaoka's ferromagnetism is stable even if the electron-phonon interaction is taken into account. We also proves that Nagaoka's ferromagnetism is stable under the influence of the qunantized radiation field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-26T05:18:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holstein-hubbard model",
      "nagaokas theorem",
      "nagaokas ferromagnetism",
      "electron-phonon interaction",
      "qunantized radiation field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}