Phase transition in the three-dimensional±JIsing spin glass

We have studied the three-dimensional Ising spin glass with a 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 T₂ with ordering below T₂. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent is somewhat higher. Because there may be (unknown) corrections to finite-size scaling, we do not completely rule out the possibility that T₂=0 or that T₂ is finite but with no order below T₂. However, from our data, these possibilities seem less likely.