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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier Science BV
2008
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| Online Access: | http://irep.iium.edu.my/13698/ http://irep.iium.edu.my/13698/1/ommfjf-physcaA%282008%29.pdf |
| _version_ | 1848777593491292160 |
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| author | Ostilli, Massimo Mukhamedov, Farrukh Mendes, Jose Fernando Ferreira |
| author_facet | Ostilli, Massimo Mukhamedov, Farrukh Mendes, Jose Fernando Ferreira |
| author_sort | Ostilli, Massimo |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:48:27Z |
| format | Article |
| id | iium-13698 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:48:27Z |
| publishDate | 2008 |
| publisher | Elsevier Science BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | QC Physics |
| 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 |