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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Hauptverfasser: Hasenbusch, Martin (VerfasserIn) , Toldin, Francesco Parisen (VerfasserIn) , Pelissetto, Andrea (VerfasserIn) , Vicari, Ettore (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 6 September 2007
In: Physical review. B, Condensed matter and materials physics
Year: 2007, Jahrgang: 76, Heft: 9, Pages: 094402$p1-10
ISSN:1550-235X
DOI:10.1103/PhysRevB.76.094402
Online-Zugang: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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Verfasserangaben:Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari

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520 |a 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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