Universal critical behavior of the 2d Ising spin glass

Abstract

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated temperature dependency of the scaling fields is identified as the major obstacle that has impeded a complete analysis. Once temperature is relinquished in favor of the correlation length as the basic variable, we obtain a reliable estimation of the anomalous dimension and of the thermal critical exponent. Universality among binary and Gaussian couplings is confirmed to a high numerical accuracy.

arXiv comment11 pages,7 figures

References in corpus (37)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• A New Approach to Spin Glass Simulations
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Lower Critical Dimension of Ising Spin Glasses
• Universality in the three-dimensional random-field Ising model
• Critical parameters of the three-dimensional Ising spin glass
• The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations
• Finite-Size Scaling at $\xi /L\gg 1$
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• Asymptotic Scaling in the Two-Dimensional $O(3)$ $\sigma$-Model at Correlation Length $10^5$
• Nature of the spin-glass phase at experimental length scales
• New Universality Class in three dimensions: the Antiferromagnetic $R{P}^2$ model
• Ising spin glass transition in magnetic field out of mean-field
• Aspect-Ratio Scaling and The Stiffness Exponent $\theta$ for Ising Spin Glasses
• Scalings of domain wall energies in two dimensional Ising spin glasses
• The four dimensional site-diluted Ising model: a finite-size scaling study
• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Chaos and universality in two-dimensional Ising spin glasses
• Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass
• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality
• Critical thermodynamics of the two-dimensional +/-J Ising spin glass
• Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Finite-size scaling in two-dimensional Ising spin glass models
• Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality
• Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit
• Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Numerically exact correlations and sampling in the two-dimensional Ising spin glass

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