Phase transition in the three-dimensional±JIsing spin glass

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite-size scaling analysis shows quite strong evidence for a finite transition temperature $T_c$ with ordering below $T_c$. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent $\nu$ is somewhat higher. Because there may be (unknown) corrections to finite-size scaling, we do not completely rule out the possibility that $T_c=0\mathrm{}$ or that $T_c$ is finite but with no order below $T_c$. However, from our data, these possibilities seem less likely.