Critical behavior of the three-dimensional Ising spin glass

Abstract

We have simulated, using parallel tempering, the three-dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice $\mathrm{}(L=20\mathrm{})\mathrm{}$ has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, strong evidence for a second-order finite-temperature phase transition, ruling out other possible scenarios like a Kosterlitz-Thouless phase transition. Precise values for the ν and η critical exponents are also presented.