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

References in corpus (4)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Finite size corrections in the Sherrington-Kirkpatrick model
• Ultrametricity in the Edwards-Anderson Model
• Lack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses

Cited by in corpus (2)

• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Numerical results for the Edwards-Anderson spin-glass model at low temperature