{
  "id": "2104.03530",
  "version": "v1",
  "published": "2021-04-08T06:22:14.000Z",
  "updated": "2021-04-08T06:22:14.000Z",
  "title": "Ground state of one-dimensional fermion-phonon systems",
  "authors": [
    "Tadahiro Miyao",
    "Seigo Okida",
    "Hayato Tominaga"
  ],
  "comment": "9 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a new framework of the reflection positivity in terms of order preserving operator inequalities. From the viewpoint of the new framework, we study one-dimensional fermion-phonon systems. Especially, properties of ground states are examined in detail. It is clarified that the reflection positivity consistently describes the charge-density-wave (CDW) order in this system. Furthermore, if the Coulomb interaction is long ranged, then we prove the existence of the CDW long range order in the ground state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-08T06:22:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "reflection positivity",
      "cdw long range order",
      "study one-dimensional fermion-phonon systems",
      "order preserving operator inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}