Magnetic-glassy multicritical behavior of the three-dimensional ±J Ising model
We consider the three-dimensional ±J model defined on a simple cubic lattice and study its behavior close to the multicritical Nishimori point, where the paramagnetic-ferromagnetic, the paramagnetic-glassy, and the ferromagnetic-glassy transition lines meet in the T−p phase diagram (p characterizes...
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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
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8 November 2007
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2007, Jahrgang: 76, Heft: 18, Pages: 1-7 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.76.184202 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.76.184202 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.76.184202 
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| Verfasserangaben: | Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari |
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| 520 | |a We consider the three-dimensional ±J model defined on a simple cubic lattice and study its behavior close to the multicritical Nishimori point, where the paramagnetic-ferromagnetic, the paramagnetic-glassy, and the ferromagnetic-glassy transition lines meet in the T−p phase diagram (p characterizes the disorder distribution and gives the fraction of ferromagnetic bonds). For this purpose, we perform Monte Carlo simulations on cubic lattices of size L⩽32 and a finite-size-scaling analysis of the numerical results. The magnetic-glassy multicritical point is found at p∗=0.76820(4), along the Nishimori line given by 2p−1=tanh(J∕T). We determine the renormalization-group dimensions of the operators that control the renormalization-group flow close to the multicritical point, y1=1.02(5), y2=0.61(2), and the susceptibility exponent η=−0.114(3). The temperature and crossover exponents are ν=1∕y2=1.64(5) and ϕ=y1∕y2=1.67(10), respectively. We also investigate the model-A dynamics, obtaining the dynamic critical exponent z=5.0(5). | ||
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