Large-scale low-energy excitations in 3-d spin glasses

Abstract

We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further interest are the position-space properties of these excitations. First, our study of their topological properties show that the majority of the large-scale excitations are sponge-like. Second, when probing their geometrical properties, we find that the excitations coarsen when the system size is increased. We conclude that either finite size effects are very large even when the spin overlap q is close to zero, or the mean field picture of homogeneous excitations has to be modified.

11 pages, typos corrected, added references

References in corpus (6)

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• On the Effects of a Bulk Perturbation on the Ground State of 3D Ising Spin Glasses
• On the Effects of Changing the Boundary Conditions on the Ground State of Ising Spin Glasses
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