We investigate the low temperature phase of the three dimensional Edward-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 have power law decay. Our findings are in agreement with the replica symmetry breaking theory and show that the overlap is a good order parameter.

Structure of Correlations in Three Dimensional Spin Glasses / Pierluigi, C., Cristian, G., Claudio, G., Parisi, G.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 103:1(2009), p. 017201. [10.1103/physrevlett.103.017201]

Structure of Correlations in Three Dimensional Spin Glasses

PARISI, Giorgio
2009

Abstract

We investigate the low temperature phase of the three dimensional Edward-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 have power law decay. Our findings are in agreement with the replica symmetry breaking theory and show that the overlap is a good order parameter.
2009
01 Pubblicazione su rivista::01a Articolo in rivista
Structure of Correlations in Three Dimensional Spin Glasses / Pierluigi, C., Cristian, G., Claudio, G., Parisi, G.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 103:1(2009), p. 017201. [10.1103/physrevlett.103.017201]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/6699
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