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

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article numberP02004
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2011
Issue number2
DOIs
Publication statusPublished - 2011 Feb
Externally publishedYes

Keywords

  • classical phase transitions (theory)
  • disordered systems (theory)
  • phase diagrams (theory)
  • spin glasses (theory)

ASJC Scopus subject areas

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

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