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Critical behavior of the three-dimensional Ising spin glass

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Abstract

We have simulated, using parallel tempering, the three-dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice (L520) 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 KosterlitzThouless phase transition. Precise values for the ν and ƞ critical exponents are also presented.

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© 2000 The American Physical Society. We acknowledge discussions with E. Marinari and G. Parisi. We are grateful for the partial financial support from CICyT (AEN97-1680, AEN97-1693, AEN99-0990, and PB98-0842) and DGA (P46/97). V.M-M. was supported by a M.E.C. The computations have been carried out using the RTNN machines (Universidad de Zaragoza and Universidad Complutense de Madrid) and the dedicated machine SUE (Universidad de Zaragoza).

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