Evidence for non-universal scaling in dimension four Ising spin glasses

Abstract

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four are studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special attention is paid to scaling corrections. The limiting infinite size value at criticality for this dimensionless variable is a parameter characteristic of a universality class. This critical limit is estimated to be equal to $0.523(3)$ in the bimodal model and to $0.473(3)$ in the Laplacian model.

arXiv comment4 pages, 4 figures

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• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Hierarchical spin glasses in a magnetic field: A renormalization-group study
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Non-self-averaging in Ising spin glasses; hyperuniversality
• Ising Spin Glasses in dimension five
• Ising spin glasses in dimension two; universality and non-universality
• Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant