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: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
Elsevier Science BV
2008
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| 主題: | |
| 在線閱讀: | http://irep.iium.edu.my/13698/1/ommfjf-physcaA%282008%29.pdf http://irep.iium.edu.my/13698/ http://www.sciencedirect.com/science/article/pii/S0378437108001003 |
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| 總結: | 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. |
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