Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart

M. Ostilli, F. Mukhamedov, J. F.F. Mendes

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. We first analyze the phase diagram of the model with fixed couplings in which a "gas of noninteracting dimers (or spin liquid) - ferro or antiferromagnetic ordered state" zero temperature transition is recognized in the frustrated regions. Then we introduce the disorder for studying the spin glass version of the model: the triangular ± J model. We find out that, for any finite value of the averaged couplings, the model exhibits always a finite temperature phase transition even in the frustrated regions, where the transition turns out to be a glassy transition. The analysis of the random model is done by applying a recently proposed method which allows us to derive the critical surface of a random model through a mapping with a corresponding nonrandom model.

Original languageEnglish
Pages (from-to)2777-2792
Number of pages16
JournalPhysica A: Statistical Mechanics and its Applications
Volume387
Issue number12
DOIs
Publication statusPublished - May 1 2008
Externally publishedYes

Keywords

  • Competing Ising models
  • Glass transition
  • Husumi trees

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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