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

Author

Listed:
  • Ostilli, M.
  • Mukhamedov, F.
  • Mendes, J.F.F.

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.

Suggested Citation

  • Ostilli, M. & Mukhamedov, F. & Mendes, J.F.F., 2008. "Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2777-2792.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2777-2792
    DOI: 10.1016/j.physa.2008.01.071
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