Ultrametricity and clustering of states in spin glasses: A one-dimensional view
arXiv:0807.3513 · doi:10.1103/PhysRevLett.102.037207
Abstract
We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the model can be tuned by changing the power-law exponent, we find signatures of ultrametric behavior both in the mean-field and non-mean-field universality classes for large linear system sizes. Furthermore, we confirm the existence of nontrivial connected components in phase space via a clustering analysis of configurations.
arXiv comment4 pages, 4 figures, 1 table
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