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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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 September 2007
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| 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 |
| Author Notes: | Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari |
| 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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| Item Description: | Im Titel ist "+" hochgestellt und "-" tiefgestellt Gesehen am 09.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.76.094402 |