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, Contucci; Cristian, Giardina; Claudio, Giberti; Parisi, Giorgio. - 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
