Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass

Abstract

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range spin glass order at zero temperature. The low temperature scaling behavior has an important new crossover length scale that produces a power-law dependence of the heat capacity on temperature.

4 pages, 3 figures; v2 for clarifications in presentation (same results)

References in corpus (8)

• Matching Kasteleyn Cities for Spin Glass Ground States
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Ground-state topology of the Edwards-Anderson +/-J spin glass model
• Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Entropic long range order in a 3D spin glass model

Cited by in corpus (5)

• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Numerically exact correlations and sampling in the two-dimensional Ising spin glass
• Reentrant Formation of Magnetic Polarons in Quantum Dots
• Measuring free energy in parallel tempering Monte Carlo
• Statistical Transfer Matrix Study of the $\pm J$ Multileg Ising Ladders and Tubes