Correlation length of the two-dimensional Ising spin glass with bimodal interactions

Abstract

We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up equilibration. Our results show that the correlation length grows ~ exp(2J/T) suggesting through hyperscaling that the degenerate ground state is separated from the first excited state by an energy gap ~4J, as would naively be expected.

5 pages, 4 figures, 2 tables

References in corpus (3)

• Energy size effects of two-dimensional Ising spin glasses
• Correlation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions
• Numerical studies of the two- and three-dimensional gauge glass at low temperature

Cited by in corpus (10)

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• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Energy gap of the bimodal two-dimensional Ising spin glass
• Aspect-Ratio Scaling of Domain Wall Entropy for the 2D $\pm J$ Ising Spin Glass
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Excitations of the bimodal Ising spin glass on the brickwork lattice