On quantum Markov chains on Cayley tree III: Ising model

Accardi, Luigi and Mukhamedov, Farrukh and Saburov, Mansoor (2014) On quantum Markov chains on Cayley tree III: Ising model. Journal of Statistical Physics, 157 (2). pp. 303-329. ISSN 0022-4715

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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.

Item Type:	Article (Journal)
Additional Information:	5537/38234
Uncontrolled Keywords:	Cayley tree; Ising model; Phase transition; Quantum Markov chain
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	12 Sep 2014 10:53
Last Modified:	27 Nov 2014 16:23
URI:	http://irep.iium.edu.my/id/eprint/38234

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