Critical and multicritical behavior of the +- J Ising model in two and three dimensions
arXiv:0810.0685 · doi:10.1088/1742-6596/145/1/012055
Abstract
We report our Monte Carlo results on the critical and multicritical behavior of the +- J Ising model [with a random-exchange probability P(J_{xy}) = p δ(J_{xy} - J) + (1-p) δ(J_{xy} + J)], in two and three dimensions. We study the transition line between the paramagnetic and ferromagnetic phase, which extends from p=1 to a multicritical (Nishimori) point. By a finite-size scaling analysis, we provide strong numerical evidence that in three dimensions the critical behavior along this line belongs to the same universality class as that of the critical transition in the randomly dilute Ising model. In two dimensions we confirm that the critical behavior is controlled by the pure Ising fixed point and that disorder is marginally irrelevant, giving rise to universal logarithmic corrections. In both two and three dimensions, we also determine the location of the multicritical Nishimori point, as well as the renormalization-group dimensions of the operators that control the renormalization-group flow close to it.
4 pages, 1 figure. Proceedings of the International Conference on Highly Frustrated Magnetism (HFM 2008), 7-12 September, 2008, Braunschweig, Germany
References in corpus (6)
- Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
- The 3D +-J Ising model at the ferromagnetic transition line
- Multicritical points for the spin glass models on hierarchical lattices
- Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice
- Magnetic-glassy multicritical behavior of the three-dimensional +- J Ising model
- Relaxational dynamics in 3D randomly diluted Ising models