Backbone structure of the Edwards-Anderson spin-glass model
arXiv:1304.1824 · doi:10.1103/PhysRevE.88.042105
Abstract
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 distributions of bonds 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. We then analyze how these heterogeneities influence the equilibrium properties at finite temperature and we discuss the possibility that a suitable backbone picture can be relevant to describe spin-glass phenomena.
12 pages, 10 figures
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Cited by in corpus (6)
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- Boosting quantum annealer performance via sample persistence
- Dynamic scaling in the 2D Ising spin glass with Gaussian couplings
- Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: Strong heterogeneities and the backbone picture
- Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution
- Jump Events in a 3D Edwards-Anderson Spin Glass