Critical and multicritical behavior of the +- J Ising model in two and three dimensions

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dc.creatorHasenbusch, Martin
dc.creatorToldin, Francesco Parisen
dc.creatorPelissetto, Andrea
dc.creatorVicari, Ettore
dc.date2008-10-03
dc.date.accessioned2026-07-07T12:41:58Z
dc.date.available2026-07-07T12:41:58Z
dc.descriptionWe report our Monte Carlo results on the critical and multicritical behavior of the +- J Ising model [with a random-exchange probability P(J_{xy}) = p δ(J_{xy} - J) + (1-p) δ(J_{xy} + J)], in two and three dimensions. We study the transition line between the paramagnetic and ferromagnetic phase, which extends from p=1 to a multicritical (Nishimori) point. By a finite-size scaling analysis, we provide strong numerical evidence that in three dimensions the critical behavior along this line belongs to the same universality class as that of the critical transition in the randomly dilute Ising model. In two dimensions we confirm that the critical behavior is controlled by the pure Ising fixed point and that disorder is marginally irrelevant, giving rise to universal logarithmic corrections. In both two and three dimensions, we also determine the location of the multicritical Nishimori point, as well as the renormalization-group dimensions of the operators that control the renormalization-group flow close to it.
dc.description4 pages, 1 figure. Proceedings of the International Conference on Highly Frustrated Magnetism (HFM 2008), 7-12 September, 2008, Braunschweig, Germany
dc.identifierhttps://arxiv.org/abs/0810.0685
dc.identifierhttp://arxiv.org/abs/0810.0685
dc.identifierJ. Phys.: Conf. Ser. 145 (2009), 012055
dc.identifierdoi:10.1088/1742-6596/145/1/012055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219921
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleCritical and multicritical behavior of the +- J Ising model in two and three dimensions
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