Replica equivalence in the Edwards-Anderson model
arXiv:cond-mat/0302500 · doi:10.1088/0305-4470/36/43/020
Abstract
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.
12 pages, few remarks added. To appear in Journal of Physics A: Mathematical and General