Energy fluctuations at the multicritical point in two-dimensional spin glasses
Abstract
We study the two-dimensional +/-J Ising model, three-state Potts model and four-state Potts model, by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the Nishimori line. The result shows a maximum at the multicritical point in all the models we investigated. The large sample-to-sample fluctuations of the internal energy as well as the existence of a singularity in these fluctuations imply that the bond configuration (or, equivalently, the distribution of frustrated plaquettes) may be experiencing a non-trivial change of its behaviour at the multicritical point. This observation is consistent with the picture that the phase transition at the multicritical point is of geometry-induced nature.
Cite
@article{arxiv.cond-mat/0207694,
title = {Energy fluctuations at the multicritical point in two-dimensional spin glasses},
author = {Hidetoshi Nishimori and Cyril Falvo and Yukiyasu Ozeki},
journal= {arXiv preprint arXiv:cond-mat/0207694},
year = {2009}
}
Comments
9 pages, 7 figures; Note added