On Quantum Markov Chains on Cayley tree III: Ising model
classification
🧮 math-ph
math.DSmath.MPmath.OA
keywords
cayleycriticalisingmarkovmodelquantumtemperaturetree
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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.
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