{
  "id": "cond-mat/0210140",
  "version": "v2",
  "published": "2002-10-07T17:25:42.000Z",
  "updated": "2002-10-11T03:12:32.000Z",
  "title": "Asymptotic Behavior of the Emptiness Formation Probability in the Critical Phase of XXZ Spin Chain",
  "authors": [
    "V. E. Korepin",
    "S. Lukyanov",
    "Y. Nishiyama",
    "M. Shiroishi"
  ],
  "comment": "9 pages, 2 figures",
  "journal": "Phys.Lett.A312:21-26,2003",
  "doi": "10.1016/S0375-9601(03)00616-9",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "nlin.SI"
  ],
  "abstract": "We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P(n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P(n) ~ n^{-gamma} C^{-n^2}. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent gamma. In order to confirm the validity of our formulas, we employed an ab initio simulation technique of the density-matrix renormalization group to simulate XXZ spin chain of sufficient length. Furthermore, we performed Monte-Carlo integration of the Jimbo-Miwa multiple integral for P(n). Those numerical results for P(n) support our formulas fairly definitely.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-11T03:12:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "emptiness formation probability",
      "asymptotic behavior",
      "critical phase",
      "simulate xxz spin chain",
      "ab initio simulation technique"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 599045
    }
  }
}