Factors Generated by XY-Model with Competing Ising Interactions on the Cayley Tree

Farrukh Mukhamedov, Soueidy El Gheteb

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In the present paper, we consider a quantum Markov chain corresponding to the XY-model with competing Ising interactions on the Cayley tree of order two. Earlier, it was proved that this state does exist and is unique. Moreover, it has clustering property. This means that the von Neumann algebra generated by this state is a factor. In the present paper, we establish that the factor generated by this state may have type III λλ∈ (0 , 1) which is unusual for states associated with models with nontrivial interactions.

Original languageEnglish
Pages (from-to)241-253
Number of pages13
JournalAnnales Henri Poincare
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 1 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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