{
  "id": "1601.00765",
  "version": "v1",
  "published": "2016-01-05T08:25:46.000Z",
  "updated": "2016-01-05T08:25:46.000Z",
  "title": "Long-range charge order in the extended Holstein--Hubbard model",
  "authors": [
    "Tadahiro Miyao"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the electron-electron and electron-phonon couplings. When the electron-phonon interaction is strong, we prove the existence of long-range charge order at sufficiently low temperature in three or more dimensions. As a result, we rigorously justify the phase competiton between the antiferromagnetic and charge orders.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-05T08:25:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range charge order",
      "extended holstein-hubbard model",
      "electron-phonon couplings",
      "electron-phonon interaction",
      "sufficiently low temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160100765M"
    }
  }
}