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 (12)

• Lower Critical Dimension of Ising Spin Glasses
• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Why temperature chaos in spin glasses is hard to observe
• 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
• An exact algorithm for spin correlation functions of the two dimensional +/-J Ising spin glass in the ground state
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Entropic long range order in a 3D spin glass model

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