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

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

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 antiferromagne...

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Main Authors: Ostilli, Massimo, Mukhamedov, Farrukh, Mendes, Jose Fernando Ferreira
Format: Article
Language:English
Published: Elsevier Science BV 2008
Subjects:
QC Physics
Online Access:http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/1/ommfjf-physcaA%282008%29.pdf
id iium-13698
recordtype eprints
spelling iium-136982012-05-29T07:00:46Z http://irep.iium.edu.my/13698/ Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart Ostilli, Massimo Mukhamedov, Farrukh Mendes, Jose Fernando Ferreira QC Physics 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. Elsevier Science BV 2008 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13698/1/ommfjf-physcaA%282008%29.pdf 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 http://www.sciencedirect.com/science/article/pii/S0378437108001003 10.1016/j.physa.2008.01.071
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QC Physics
spellingShingle QC Physics
Ostilli, Massimo
Mukhamedov, Farrukh
Mendes, Jose Fernando Ferreira
Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
description 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.
format Article
author Ostilli, Massimo
Mukhamedov, Farrukh
Mendes, Jose Fernando Ferreira
author_facet Ostilli, Massimo
Mukhamedov, Farrukh
Mendes, Jose Fernando Ferreira
author_sort Ostilli, Massimo
title Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
title_short Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
title_full Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
title_fullStr Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
title_full_unstemmed Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
title_sort phase diagram of an ising model with competitive interactions on a husimi tree and its disordered counterpart
publisher Elsevier Science BV
publishDate 2008
url http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/
http://irep.iium.edu.my/13698/1/ommfjf-physcaA%282008%29.pdf
first_indexed 2023-09-18T20:22:49Z
last_indexed 2023-09-18T20:22:49Z
_version_ 1777408220645556224

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