Critical thermodynamics of the two-dimensional +/-J Ising spin glass

Abstract

We compute the exact partition function of 2d Ising spin glasses with binary couplings. In these systems, the ground state is highly degenerate and is separated from the first excited state by a gap of size 4J. Nevertheless, we find that the low temperature specific heat density scales as exp(-2J/T), corresponding to an ``effective'' gap of size 2J; in addition, an associated cross-over length scale grows as exp(J/T). We justify these scalings via the degeneracy of the low-lying excitations and by the way low energy domain walls proliferate in this model.

References in corpus (3)

• A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses
• Lower Critical Dimension of Ising Spin Glasses
• Energy exponents and corrections to scaling in Ising spin glasses

Cited by in corpus (31)

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• Replica Cluster Variational Method
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• A Worm Algorithm for Two-Dimensional Spin Glasses
• 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
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• Domain wall entropy of the bimodal two-dimensional Ising spin glass
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• Numerical Studies of the Compressible Ising Spin Glass
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• Excitations of the bimodal Ising spin glass on the brickwork lattice
• The Binomial Spin Glass
• Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass
• Nontrivial critical behavior of the free energy in the two-dimensional Ising spin glass with bimodal interactions