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.

4 pages, 4 figures

References in corpus (5)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• The correspondence between long-range and short-range spin glasses
• Evidence for universal scaling in the spin-glass phase
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses

Cited by in corpus (3)

• Hierarchical spin glasses in a magnetic field: A renormalization-group study
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant