{
  "id": "1405.1179",
  "version": "v1",
  "published": "2014-05-06T07:57:35.000Z",
  "updated": "2014-05-06T07:57:35.000Z",
  "title": "Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice",
  "authors": [
    "S. Wang",
    "Z. Y. Xie",
    "J. Chen",
    "B. Normand",
    "T. Xiang"
  ],
  "comment": "6 pages, 5 figures, 2 tables",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decomposition (HOTRG). HOTRG works in the thermodynamic limit, where we use the $Z_q$ symmetry of the model, combined with a new measure for detecting the transition, to improve the accuracy of the critical point for the 2-state model by two orders of magnitude, obtaining $T_c = 4.51152469(1)$. The 3-state model is far more complex, and we improve the overall understanding of this case by calculating its thermodynamic quantities with high accuracy. Our results verify the first-order nature of the phase transition and the HOTRG transition temperature benchmarks the most recent Monte Carlo result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-06T07:57:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple cubic lattice",
      "ferromagnetic potts models",
      "phase transition",
      "higher-order singular value decomposition",
      "hotrg transition temperature benchmarks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0256-307X/31/7/070503",
      "journal": "Chinese Physics Letters",
      "year": 2014,
      "month": "Jul",
      "volume": 31,
      "number": 7,
      "pages": "070503"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014ChPhL..31g0503W"
    }
  }
}