Chaos and universality in two-dimensional Ising spin glasses

Abstract

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and produces "chaos", the extreme sensitivity of the state to temperature, is found to depend on the type of randomness. For the $\pm J$ model this length scale dominates the low-temperature specific heat. Although there is a type of universality, some critical exponents do depend on the distribution of disorder.

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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

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