{
  "id": "2012.05182",
  "version": "v1",
  "published": "2020-12-09T17:20:35.000Z",
  "updated": "2020-12-09T17:20:35.000Z",
  "title": "The two-point correlation function in the six-vertex model",
  "authors": [
    "Pavel Belov",
    "Nicolai Reshetikhin"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "physics.comp-ph"
  ],
  "abstract": "We study numerically the two-point correlation functions of height functions in the six-vertex model with domain wall boundary conditions. The correlation functions and the height functions are computed by the Markov chain Monte-Carlo algorithm. Particular attention is paid to the free fermionic point ($\\Delta=0$), for which the correlation functions are obtained analytically in the thermodynamic limit. A good agreement of the exact and numerical results for the free fermionic point allows us to extend calculations to the disordered ($|\\Delta|<1$) phase and to monitor the logarithm-like behavior of correlation functions there. For the antiferroelectric ($\\Delta<-1$) phase, the exponential decrease of correlation functions is observed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-09T17:20:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-point correlation function",
      "six-vertex model",
      "free fermionic point",
      "height functions",
      "markov chain monte-carlo algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}