Lattice models with interactions on Caylay tree
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 dimmers (or spin liquid) — ferro or antiferro...
| Main Author: | |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/1/p17.pdf |
| Summary: | 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 dimmers (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. On
the other hand, In this investigation we studied one-dimensional countable state p-adic Potts model. We
prove the existence of generalized p-adic Gibbs measures for the given model. It is also shown that under
the condition there may occur a phase transition. |
|---|