Critical behavior of the three-dimensional ±J Ising model at the paramagnetic-ferromagnetic transition line

We study the critical behavior of the three-dimensional ±J Ising model [with random-exchange probability P(Jxy)=pδ(Jxy−J)+(1−p)δ(Jxy+J)] at the transition line between the paramagnetic and ferromagnetic phases, which extends from p=1 to a magnetic-glassy multicritical point at p=pN≈0.768. By a finit...

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Bibliographic Details
Main Authors: Hasenbusch, Martin (Author) , Toldin, Francesco Parisen (Author) , Pelissetto, Andrea (Author) , Vicari, Ettore (Author)
Format: Article (Journal)
Language:English
Published: 6 September 2007
In: Physical review. B, Condensed matter and materials physics
Year: 2007, Volume: 76, Issue: 9, Pages: 094402$p1-10
ISSN:1550-235X
DOI:10.1103/PhysRevB.76.094402
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.76.094402
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.76.094402
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Author Notes:Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari
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Summary:We study the critical behavior of the three-dimensional ±J Ising model [with random-exchange probability P(Jxy)=pδ(Jxy−J)+(1−p)δ(Jxy+J)] at the transition line between the paramagnetic and ferromagnetic phases, which extends from p=1 to a magnetic-glassy multicritical point at p=pN≈0.768. By a finite-size scaling analysis of Monte Carlo simulations at various values of p in the region pN<p<1, we provide strong numerical evidence that the critical behavior along the ferromagnetic transition line belongs to the same universality class as the three-dimensional randomly dilute Ising model. We obtain the results ν=0.682(3) and η=0.036(2) for the critical exponents, which are consistent with the estimates ν=0.683(2) and η=0.036(1) at the transition of randomly dilute Ising models.
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Physical Description:Online Resource
ISSN:1550-235X
DOI:10.1103/PhysRevB.76.094402