Universality in phase boundary slopes for spin glasses on self-dual lattices

Masayuki Ohzeki, Creighton K. Thomas, Helmut G. Katzgraber, H. Bombin, M. A. Martin-Delgado

研究成果: Article査読

8 被引用数 (Scopus)

抄録

We study the effects of disorder on the slope of the disorder-temperature phase boundary near the Onsager point (Tc = 2.269...) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality arguments, as well as exact Pfaffian techniques, we reproduce these analytical estimates. In addition, we obtain different estimates for spin-glass models on hierarchical lattices where the effects of disorder are relevant. We show that the phase boundary slope near the Onsager point can be used to probe for the relevance of disorder effects.

本文言語English
論文番号P02004
ジャーナルJournal of Statistical Mechanics: Theory and Experiment
2011
2
DOI
出版ステータスPublished - 2011 2
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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