On quantum Markov chains on Cayley tree III: Ising model
In this paper, we consider the classical Ising model on the Cayley tree of order k (k ≥ 2), and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Springer
2014
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/ http://irep.iium.edu.my/38234/1/Farrukh.pdf http://irep.iium.edu.my/38234/4/WOS_Q2.pdf |
| Summary: | In this paper, we consider the classical Ising model on the Cayley tree of order k
(k ≥ 2), and show the existence of the phase transition in the following sense: there exists
two quantum Markov states which are not quasi-equivalent. It turns out that the found critical
temperature coincides with the classical critical temperature. |
|---|