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

Ostilli, Massimo and Mukhamedov, Farrukh and Mendes, Jose Fernando Ferreira (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, 387 (12). pp. 2777-2792. ISSN 0378-4371

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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.

Item Type:	Article (Journal)
Additional Information:	5537/13698
Uncontrolled Keywords:	Competing Ising models; Glass transition; Husumi trees
Subjects:	Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	29 May 2012 15:00
Last Modified:	29 May 2012 15:00
URI:	http://irep.iium.edu.my/id/eprint/13698

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