{
  "id": "1208.1060",
  "version": "v2",
  "published": "2012-08-05T22:45:17.000Z",
  "updated": "2012-11-23T01:41:56.000Z",
  "title": "Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'",
  "authors": [
    "Iwan Jensen"
  ],
  "comment": "5 pages, 1 figure, IoP macros. Expanded second and final version",
  "journal": "J. Phys. A 45 508001 (2012)",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Earlier this year Chan extended the low-density series for the hard-squares partition function $\\kappa(z)$ to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity $z_d$ which lies on on the negative fugacity axis. We find that the series has a confluent singularity of order 2 at $z_d$ with exponents $\\theta=0.83333(2)$ and $\\theta'= 1.6676(3)$. We thus confirm that the exponent $\\theta$ has the exact value $\\frac56$ as observed by Dhar.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-23T01:41:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transfer matrix renormalization group method",
      "corner transfer matrix renormalization group",
      "series expansions",
      "hard-squares model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/50/508001",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Dec",
      "volume": 45,
      "number": 50,
      "pages": 508001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45X8001J"
    }
  }
}