Ultrametricity and clustering of states in spin glasses: A one-dimensional view
Disordered Systems and Neural Networks
2009-01-26 v2
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.
Cite
@article{arxiv.0807.3513,
title = {Ultrametricity and clustering of states in spin glasses: A one-dimensional view},
author = {Helmut G. Katzgraber and Alexander K. Hartmann},
journal= {arXiv preprint arXiv:0807.3513},
year = {2009}
}
Comments
4 pages, 4 figures, 1 table