Order-parameter fluctuations in Ising spin glasses at low temperatures

Matteo Palassini 1, Marta Sales 2, Felix Ritort 3

Physical Review B 68 (2003) 224430

We present a numerical study of the order-parameter fluctuations for Ising spin glasses in three and four dimensions at very low temperatures and without an external field. Accurate measurements of two previously introduced parameters, A and G, show that the order parameter is not self-averaging, consistent with a zero-temperature thermal exponent value \theta' \simeq 0, and confirm the validity of the relation G=1/3 in the thermodynamic limit in the whole low-temperature phase, as predicted by stochastic stability arguments.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Chemical and Biological Engineering Department,
    Northwestern University
  • 3. Departament de Física Fonamental, Facultat de Física,
    Universitat de Barcelona