Overlap Interfaces in Hierarchical Spin-Glass models

Silvio Franz 1, T Jorg 1, Giorgio Parisi 2

Journal of Statistical Mechanics: Theory and Experiment (2008) 02002

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.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Dipartimento di Fisica and INFM,
    Università degli studi di Roma I - La Sapienza