Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model

Malakis, A. and Berker, A. Nihat and Hadjiagapiou, I. A. and Fytas, N. G. and Papakonstantinou, T. (2010) Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond d=2 Blume-Capel model. Physical Review E, 81 (issue ). ISSN 1539-3755

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Abstract

The effects of bond randomness on the phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method for many values of the crystal field, restricted here in the second-order phase-transition regime of the pure model. For the random-bond version several disorder strengths are considered. We present phase diagram points of both pure and random versions and for a particular disorder strength we locate the emergence of the enhancement of ferromagnetic order observed in an earlier study in the ex-first-order regime. The critical properties of the pure model are contrasted and compared to those of the random model. Accepting, for the weak random version, the assumption of the double-logarithmic scenario for the specific heat we attempt to estimate the range of universality between the pure and random-bond models. The behavior of the strong disorder regime is also discussed and a rather complex and yet not fully understood behavior is observed. It is pointed out that this complexity is related to the ground-state structure of the random-bond version.
Item Type: Article
Additional Information: Article Number: 041113
Subjects: Q Science > QC Physics > QC1 General
Divisions: President's Office
Faculty of Engineering and Natural Sciences > Basic Sciences > Physics
Faculty of Engineering and Natural Sciences
Depositing User: A. Nihat Berker
Date Deposited: 25 May 2010 10:32
Last Modified: 26 Apr 2022 08:37
URI: https://research.sabanciuniv.edu/id/eprint/13968

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