Energy fluctuations at the multicritical point in two-dimensional spin glasses

Hidetoshi Nishimori, Cyril Falvo, Yukiyasu Ozeki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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 in 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.

Original languageEnglish
Pages (from-to)8171-8178
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number39
DOIs
Publication statusPublished - 2002 Oct 4

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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