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Uncovering the secrets of the 2D random-bond Blume-Capel model

Malakis, A.; Berker, A. Nihat; Hadjiagapiou, I. A.; Fytas, N. G.; Papakonstantinou, T.


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{
  "DOI": "10.1016/j.physa.2009.12.064", 
  "abstract": "The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values of the crystal field is carried out by mapping the system onto a network and we search for a minimum cut by a maximum flow method. At finite temperatures the system is studied by an efficient two-stage Wang-Landau (WL) method for several values of the crystal field, including both the first- and second-order phase transition regimes of the pure model. We attempt to explain the enhancement of ferromagnetic order and we discuss the critical behavior of the random-bond model. Our results provide evidence for a strong violation of universality along the second-order phase transition line of the random-bond version. (C) 2010 Elsevier B.V. All rights reserved.", 
  "author": [
    {
      "family": "Malakis", 
      "given": " A."
    }, 
    {
      "family": "Berker", 
      "given": " A. Nihat"
    }, 
    {
      "family": "Hadjiagapiou", 
      "given": " I. A."
    }, 
    {
      "family": "Fytas", 
      "given": " N. G."
    }, 
    {
      "family": "Papakonstantinou", 
      "given": " T."
    }
  ], 
  "container_title": "PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS", 
  "id": "92945", 
  "issue": "15", 
  "issued": {
    "date-parts": [
      [
        2010, 
        1, 
        1
      ]
    ]
  }, 
  "page": "2930-2933", 
  "title": "Uncovering the secrets of the 2D random-bond Blume-Capel model", 
  "type": "article-journal", 
  "volume": "389"
}
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