Ground-state behavior of the 3d +/-J random-bond Ising model

Abstract

Large numbers of ground states of the three-dimensional $\pm J$ random-bond Ising model are calculated for sizes up to $14^3$ using a combination of a genetic algorithm and Cluster-Exact Approximation. Several quantities are calculated as function of the concentration $p$ of the antiferromagnetic bonds. The critical concentration where the ferromagnetic order disappears is determined using the Binder cumulant of the magnetization. A value of $p_c=0.222\pm 0.005$ is obtained. From the finite-size behavior of the Binder cumulant and the magnetization critical exponents $\nu =1.1\pm 0.3$ and $\beta =0.2\pm 0.1$ are calculated.

8 pages, 11 figures, revtex

References in corpus (5)

• Scaling of stiffness energy for 3d +/-J Ising spin glasses
• Finite Size Scaling Analysis of Exact Ground States for +/-J Spin Glass Models in Two Dimensions
• Evidence for existence of many pure ground states in 3d $\pm J$ Spin Glasses
• Ground state structure of diluted antiferromagnets and random field systems
• Are Ground States of 3d +/-J Spin Glasses ultrametric ?

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