Order-parameter fluctuations in Ising spin glasses at low temperatures

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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7 pages, 7 eps figures, RevTex

Scientific paper

10.1103/PhysRevB.68.224430

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.

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