{
  "id": "1402.5202",
  "version": "v3",
  "published": "2014-02-21T04:10:55.000Z",
  "updated": "2014-12-04T01:49:00.000Z",
  "title": "Some rigorous results on the Holstein-Hubbard model",
  "authors": [
    "Tadahiro Miyao"
  ],
  "comment": "35 pages; v2: typos corrected; v3: Version with major revisions",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Holstein model has been widely accepted as a model of electrons interacting with the phonons. Analysis of its ground states was accomplished decades ago. However obtained results did not completely take account of the repulsive Coulomb interactions. Recent progress has made it possible to treat such interactions rigorously. In this paper, we study the Holstein-Hubbard mdoel with the repulsive Coulomb interactions. Ground state properties of the model are investigated. Especially, the ground state of the Hamiltonian is proven to be unique for an even number of electrons on bipartite connected lattice. In addition, an infrared bound on the two-point function is given. The effects of the repulsive Coulomb interaction induce several technical difficulties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-11T08:37:07.000Z",
      "comment": "35 pages; v2: typos corrected",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-04T01:49:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holstein-hubbard model",
      "rigorous results",
      "repulsive coulomb interaction induce",
      "ground state properties",
      "holstein model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1282313,
      "adsabs": "2014arXiv1402.5202M"
    }
  }
}