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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 14 August 2000
Rights and permissions
About this article
Cite this article
Houdayer, J., Krzakala, F. & Martin, O. Large-scale low-energy excitations in 3-d spin glasses . Eur. Phys. J. B 18, 467–477 (2000). https://doi.org/10.1007/s100510070035
Issue Date:
DOI: https://doi.org/10.1007/s100510070035