On the structure of correlations in the three dimensional spin glasses
Abstract
We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value Q of the overlap the model fulfills the clustering property: the connected correlation functions between two local overlaps decay as a power whose exponent is independent of Q for all 0 |Q| < qEA. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter.
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