Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions

Abstract

Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility, finite-size correlation length, and the Binder ratio is performed to try to verify a recent proposal in which for large system sizes and finite but low temperatures the effective critical exponents are identical to the critical exponents of the two-dimensional Ising spin glass with Gaussian interactions. Our results show that with present system sizes the recently proposed scenario in which the two-dimensional Ising spin glass with bimodally distributed interactions is in the same universality class as the model with Gaussian-distributed disorder at low but finite temperatures cannot be reliably proven.

arXiv comment10 pages, 10 figures, 2 tables

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• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Nonlinear susceptibilities and the measurement of a cooperative length
• Universal critical behavior of the 2d Ising spin glass
• Replica Cluster Variational Method
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Finite-size scaling in two-dimensional Ising spin glass models
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• First- and second-order phase transitions in Ising models on small world networks, simulations and comparison with an effective field theory
• Dual time scales in simulated annealing of a two-dimensional Ising spin glass
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
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• Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Energy gap of the bimodal two-dimensional Ising spin glass
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• Excitations of the bimodal Ising spin glass on the brickwork lattice
• Nonuniversality in random criticality
• Ising spin glasses in dimension two; universality and non-universality
• Exact results for spin glass criticality
• Dynamical critical behavior on the Nishimori point of frustrated Ising models