Overlap Interfaces in Hierarchical Spin-Glass models
Statistical Mechanics
2009-02-02 v2 Disordered Systems and Neural Networks
Abstract
We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to characterize the low temperature phase of hierarchical spin-glass models. We use the Replica Symmetry Breaking theory to evaluate the cost for an overlap interface, which in these models is particularly simple. A comparison of our results from numerical simulations with the theoretical predictions shows good agreement.
Keywords
Cite
@article{arxiv.0809.0106,
title = {Overlap Interfaces in Hierarchical Spin-Glass models},
author = {Silvio Franz and T Jorg and Giorgio Parisi},
journal= {arXiv preprint arXiv:0809.0106},
year = {2009}
}