{
  "id": "0912.1739",
  "version": "v3",
  "published": "2009-12-09T13:13:04.000Z",
  "updated": "2010-01-08T10:17:39.000Z",
  "title": "Thermodynamics and short-range correlations of the XXZ chain close to its triple point",
  "authors": [
    "Christian Trippe",
    "Frank Göhmann",
    "Andreas Klümper"
  ],
  "comment": "18 pages, 7 figures, v2: figures rearranged, v3: a typo corrected",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-th"
  ],
  "abstract": "The XXZ quantum spin chain has a triple point in its ground state $h$-$1/\\Delta$ phase diagram. This first order critical point is located at the joint end point of the two second order phase transition lines marking the transition from the gapless phase to the fully polarized phase and to the N\\'eel ordered phase, respectively. We explore the magnetization and the short-range correlation functions in its vicinity using the exact solution of the model. In the critical regime above the triple point we observe a strong variation of all physical quantities on a low energy scale of order $1/\\Delta$ induced by the transversal quantum fluctuations. We interpret this phenomenon starting from a strong-coupling perturbation theory about the highly degenerate ground state of the Ising chain at the triple point. From the perturbation theory we identify the relevant scaling of the magnetic field and of the temperature. Applying the scaling to the exact solutions we obtain explicit formulae for the magnetization and short-range correlation functions at low temperatures.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-01-08T10:17:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triple point",
      "xxz chain close",
      "short-range correlation functions",
      "phase transition lines marking",
      "second order phase transition lines"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2010/01/P01021",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2010,
      "month": "Jan",
      "volume": 2010,
      "number": 1,
      "pages": 1021
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JSMTE..01..021T",
      "inspire": 1370158
    }
  }
}