Magnetic-glassy multicritical behavior of the three-dimensional +- J Ising model

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dc.creatorHasenbusch, M.
dc.creatorToldin, F. Parisen
dc.creatorPelissetto, A.
dc.creatorVicari, E.
dc.date2007-07-19
dc.date.accessioned2026-07-07T08:42:10Z
dc.date.available2026-07-07T08:42:10Z
dc.descriptionWe consider the three-dimensional $\pm J$ 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 $L\le 32$ 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 $2p-1={\rm Tanh}(J/T)$. We determine the renormalization-group dimensions of the operators that control the renormalization-group flow close to the multicritical point, $y_1 = 1.02(5)$, $y_2 = 0.61(2)$, and the susceptibility exponent $η= -0.114(3)$. The temperature and crossover exponents are $ν=1/y_2=1.64(5)$ and $ϕ=y_1/y_2 = 1.67(10)$, respectively. We also investigate the model-A dynamics, obtaining the dynamic critical exponent $z = 5.0(5)$.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0707.2866
dc.identifierhttp://arxiv.org/abs/0707.2866
dc.identifierPhys. Rev. B 76 (2007), 184202
dc.identifierdoi:10.1103/PhysRevB.76.184202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141871
dc.subjectDisordered Systems and Neural Networks
dc.titleMagnetic-glassy multicritical behavior of the three-dimensional +- J Ising model
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