On Quantum Markov Chains on Cayley tree III: Ising model
arXiv:1311.6545 · doi:10.1007/s10955-014-1083-y
Abstract
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.
27 pages
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Cited by in corpus (8)
- Phase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree
- Quantum Markov States on Cayley trees
- Quantum Markov chains associated with open quantum random walks
- Phase Transitions for quantum Ising model with competing XY -interactions on a Cayley tree
- Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
- Refinement of quantum Markov states on trees
- Quantum Markov Chains on the Comb graphs: Ising model
- A Forward Quantum Markov Field on Graphs