Order-parameter fluctuations in Ising spin glasses at low temperatures

Abstract

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 θ' \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.

7 pages, 7 eps figures, RevTex

References in corpus (2)

• About the overlap distribution in mean field spin glass models
• Ferromagnetic-spin glass transition in four-dimensional random-bond Ising model

Cited by in corpus (6)

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• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Non-self-averaging in Ising spin glasses; hyperuniversality
• Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass