{
  "id": "2202.08385",
  "version": "v1",
  "published": "2022-02-17T00:22:31.000Z",
  "updated": "2022-02-17T00:22:31.000Z",
  "title": "Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents",
  "authors": [
    "Mouhcine Azhari",
    "Unjong Yu"
  ],
  "comment": "16 pages, 7 figures",
  "categories": [
    "cond-mat.stat-mech",
    "physics.comp-ph"
  ],
  "abstract": "We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular lattice (DTL), and decorated simple cubic lattice (DSC)). The nonregular character of the lattices induces a double transition (reentrant behavior) in the region of the phase diagram at which the nature of the phase transition changes from first-order to second-order. A physical mechanism underlying this reentrance is proposed. The large-scale Monte Carlo simulations are performed with the finite-size scaling analysis to compute the critical exponents and the critical Binder cumulant for three different values of the anisotropy $\\Delta/J \\in \\big\\{ 0, 1, 1.34 \\textrm{ (for LL)}, 1.51 \\textrm{ (for DTL and DSC)} \\big\\}$, showing thus no deviation from the standard Ising universality class in two and three dimensions. We report also the location of the tricritical point to considerable precision: ($\\Delta_t/J=1.3457(1)$; $k_B T_t/J=0.309(2)$), ($\\Delta_t/J=1.5766(1)$; $k_B T_t/J=0.481(2)$), and ($\\Delta_t/J=1.5933(1)$; $k_B T_t/J=0.569(4)$) for LL, DTL, and DSC, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-17T00:22:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase diagram",
      "monte carlo studies",
      "blume-capel model",
      "critical exponents",
      "three-dimensional lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}