Energetics of clusters in the two-dimensional Ising spin glass

Abstract

We study numerically the properties of local low-energy excitations in the two-dimensional Ising spin glass. Given the ground state, we determine the lowest-lying connected cluster of flipped spins containing one given spin, either with a fixed volume, or with a volume constrained to lie in a certain range. Our aim is to understand corrections to the scaling predicted by the droplet picture of spin glasses and to resolve contradictory results reported in the literature for the stiffness exponent. We find no clear trace of corrections to scaling, and the obtained stiffness exponent is in relatively good agreement with standard domain wall calculations.

8 pages, 9 figures

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Cited by in corpus (5)

• Low-temperature behavior of two-dimensional Gaussian Ising spin glasses
• Energy size effects of two-dimensional Ising spin glasses
• Generating droplets in two-dimensional Ising spin glasses by using matching algorithms
• The droplet-scaling versus replica symmetry breaking debate in spin glasses revisited
• Random field Ising model : statistical properties of low-energy excitations and of equilibrium avalanches