Cyclic period-3 window in antiferromagnetic potts and Ising models on recursive lattices

N. S. Ananikian, L. N. Ananikyan, L. A. Chakhmakhchyan

Research output: Contribution to journalArticle (Academic Journal)peer-review

16 Citations (Scopus)

Abstract

The magnetic properties of the antiferromagnetic Potts model with two-site interaction and the antiferromagnetic Ising model with three-site interaction on recursive lattices have been studied. A cyclic period-3 window has been revealed by the recurrence relation method in the antiferromagnetic Q-state Potts model on the Bethe lattice (at Q < 2) and in the antiferromagnetic Ising model with three-site interaction on the Husimi cactus. The Lyapunov exponents have been calculated, modulated phases and a chaotic regime in the cyclic period-3 window have been found for one-dimensional rational mappings determined the properties of these systems.

Original languageEnglish
Pages (from-to)39-43
Number of pages5
JournalJETP Letters
Volume94
Issue number1
DOIs
Publication statusPublished - 1 Sept 2011

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