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Universal critical behavior of the 2d Ising spin glass

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arxiv 1604.04533 v1 pith:5M4UQVHM submitted 2016-04-15 cond-mat.dis-nn

Universal critical behavior of the 2d Ising spin glass

classification cond-mat.dis-nn
keywords couplingscriticalisingscalingspintemperatureuniversalityaccuracy
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We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated temperature dependency of the scaling fields is identified as the major obstacle that has impeded a complete analysis. Once temperature is relinquished in favor of the correlation length as the basic variable, we obtain a reliable estimation of the anomalous dimension and of the thermal critical exponent. Universality among binary and Gaussian couplings is confirmed to a high numerical accuracy.

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