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arXiv · 0902.0594

On the structure of correlations in the three dimensional spin glasses

Pierluigi Contucci·Cristian Giardina·Claudio Giberti·Giorgio Parisi·Cecilia Vernia
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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 $0\le |Q| < q_{EA}$. Our findings are in agreement with the RSB theory and show that the overlap is a good order parameter.

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Pierluigi Contucci, Cristian Giardina, Claudio Giberti, Giorgio Parisi, Cecilia Vernia. 2009-02-03. On the structure of correlations in the three dimensional spin glasses. https://doi.org/10.1103/physrevlett.103.017201

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