Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
Published 2013-11-26, updated 2013-11-27Version 2
In this paper, we consider the classical Ising model on the Cayley tree of order k 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 usual critical temperature.
On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three
On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two
Phase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree
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