Pair correlation function for spin glasses

Abstract

We extract a pair correlation function (PCF) from probability distributions of the spin-overlap parameter q. The distributions come from Monte Carlo simulations. A measure, w, of the thermal fluctuations of magnetic patterns follows from the PCFs. We also obtain rms deviations (over different system samples) delta_p away from average probabilities for q. For the linear system-sizes $L$ we have studied, (i) w and delta_p are independent of L in the Edwards-Anderson model but scale as 1/L and sqrt{L}, respectively, in the Sherrington-Kirkpatrik model.

5 LaTex pages, 3 eps figures, 1 table. Submitted to PRL on 13 June, resubmitted to PRB on 17 July

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Cited by in corpus (3)

• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• Numerical results for the Edwards-Anderson spin-glass model at low temperature