Overlap Interfaces in Hierarchical Spin-Glass models

Details Overlap Interfaces in Hierarchical Spin-Glass models Overlap Interfaces in Hierarchical Spin-Glass models

2008-08-31

arxiv.org/abs/0809.0106v2

J. Stat. Mech.: Theor. Exp. (2009) P02002

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2009/02/P02002

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.

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