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.

10 pages, 10 figures, 2 tables

References in corpus (3)

• Correlation length of the two-dimensional Ising spin glass with bimodal interactions
• Energy size effects of two-dimensional Ising spin glasses
• Correlation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions

Cited by in corpus (9)

• Nonlinear response and fluctuation dissipation relations
• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Nonlinear susceptibilities and the measurement of a cooperative length
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Energy gap of the bimodal two-dimensional Ising spin glass
• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Excitations of the bimodal Ising spin glass on the brickwork lattice