Correlated clusters and ultrametricity of the Sherrington-Kirkpatrick model
Phys. Rev. B 46, 898 – Published 1 July, 1992
DOI: https://doi.org/10.1103/PhysRevB.46.898
Abstract
We study numerically the structure of the local minima of the Sherrington-Kirkpatrick model by introducing two characteristic functions of the distance. One represents the averaged effective field in each cluster, and the other shows the finite-size effect of the ultrametricity. The properties of these functions support the picture of the correlated clusters characterized by the distribution of the effective field. We also study the energy structure of the clusters and clarify that the sharing of positive energy bonds causes a kind of correlations among the clusters.