{ "id": "0704.0427", "version": "v1", "published": "2007-04-03T16:11:25.000Z", "updated": "2007-04-03T16:11:25.000Z", "title": "The 3D +-J Ising model at the ferromagnetic transition line", "authors": [ "Martin Hasenbusch", "Francesco Parisen Toldin", "Andrea Pelissetto", "Ettore Vicari" ], "comment": "23 pages, 12 figs", "journal": "Phys. Rev. B 76 (2007) 094402", "doi": "10.1103/PhysRevB.76.094402", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We study the critical behavior of the three-dimensional $\\pm J$ Ising model [with a random-exchange probability $P(J_{xy}) = p \\delta(J_{xy} - J) + (1-p) \\delta(J_{xy} + J)$] at the transition line between the paramagnetic and ferromagnetic phase, which extends from $p=1$ to a multicritical (Nishimori) point at $p=p_N\\approx 0.767$. By a finite-size scaling analysis of Monte Carlo simulations at various values of $p$ in the region $p_N