1304.1824 (F. Roma et al.)
F. Roma, S. Risau-Gusman
We study the ground-state spatial heterogeneities of the Edwards-Anderson spin-glass model with both bimodal and Gaussian bond distributions. We characterize these heterogeneities by using a general definition of bond rigidity, which allows us to classify the bonds of the system into two sets, the backbone and its complement, with very different properties. This generalizes to continuous distribution the well known definition of a backbone for discrete bond distributions. By extensive numerical simulations we find that the topological structure of the backbone for a given lattice dimensionality is very similar for both discrete and continuous bond distributions. Then, we analyze how these heterogeneities influence the dynamics at finite temperature and we discuss the possibility that a suitable backbone picture can be relevant to describe spin-glass phenomena.
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http://arxiv.org/abs/1304.1824
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