On Quantum Markov Chains on Cayley Tree III: Ising Model

Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


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 languageEnglish
Pages (from-to)303-329
Number of pages27
JournalJournal of Statistical Physics
Issue number2
Publication statusPublished - Oct 2014
Externally publishedYes


  • Cayley tree
  • Ising model
  • Phase transition
  • Quantum Markov chain

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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