Abstract
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.
Original language | English |
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Pages (from-to) | 303-329 |
Number of pages | 27 |
Journal | Journal of Statistical Physics |
Volume | 157 |
Issue number | 2 |
DOIs | |
Publication status | Published - Oct 2014 |
Externally published | Yes |
Keywords
- Cayley tree
- Ising model
- Phase transition
- Quantum Markov chain
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics