Replica equivalence in the Edwards-Anderson model

Details Replica equivalence in the Edwards-Anderson model Replica equivalence in the Edwards-Anderson model

2003-02-24

arxiv.org/abs/cond-mat/0302500v3

Physics

Condensed Matter

Statistical Mechanics

12 pages, few remarks added. To appear in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/36/43/020

After introducing and discussing the "link-overlap" between spin configurations we show that the Edwards-Anderson model has a "replica-equivalent" quenched equilibrium state, a property introduced by Parisi in the description of the mean-field spin-glass phase which generalizes ultrametricity. Our argument is based on the control of fluctuations through the property of stochastic stability and works for all the finite-dimensional spin-glass models.

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