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