{
  "id": "1712.05529",
  "version": "v1",
  "published": "2017-12-15T04:34:27.000Z",
  "updated": "2017-12-15T04:34:27.000Z",
  "title": "Universality in the Hubbard model",
  "authors": [
    "Tadahiro Miyao"
  ],
  "categories": [
    "math-ph",
    "cond-mat.str-el",
    "math.MP"
  ],
  "abstract": "A new viewpoint of universality is introduced in strongly correlated electron systems; Our description relies on the operator theoretic correlation inequalities. We explain the Marshall-Lieb-Mattis theorem and Lieb\\rq{}s theorem from a viewpoint of universality; in addition, from the new perspective, we prove that Lieb\\rq{}s theorem still holds true even if the electron-phonon and electron-photon interactions are taken into account. We also study Nagaoka-Thouless\\rq{} theorem and its stabilities in terms of universality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-15T04:34:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hubbard model",
      "universality",
      "operator theoretic correlation inequalities",
      "description relies",
      "strongly correlated electron systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}