{
  "id": "cond-mat/0511565",
  "version": "v1",
  "published": "2005-11-23T19:58:02.000Z",
  "updated": "2005-11-23T19:58:02.000Z",
  "title": "Scaling of geometric phases close to quantum phase transition in the XY chain",
  "authors": [
    "Shi-Liang Zhu"
  ],
  "comment": "4 pages",
  "journal": "Phys. Rev. Lett. 96, 077206 (2006) (a slightly different version)",
  "doi": "10.1103/PhysRevLett.96.077206",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "We show that geometric phase of the ground state in the XY model obeys scaling behavior in the vicinity of a quantum phase transition. In particular we find that geometric phase is non-analytical and its derivative with respect to the field strength diverges at the critical magnetic field. Furthermore, universality in the critical properties of the geometric phase in a family of models is verified. In addition, since quantum phase transition occurs at a level crossing or avoided level crossing and these level structures can be captured by Berry curvature, the established relation between geometric phase and quantum phase transitions is not a specific property of the XY model, but a very general result of many-body systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-23T19:58:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric phases close",
      "xy chain",
      "xy model obeys scaling behavior",
      "quantum phase transition occurs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}