On the structure of correlations in the three dimensional spin glasses

Details On the structure of correlations in the three dimensional spin glasses On the structure of correlations in the three dimensional spin glasses

2009-02-03

arxiv.org/abs/0902.0594v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 5 figures

Scientific paper

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 $0\le |Q| < q_{EA}$. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter.

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