Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

Farrukh Mukhamedov, Muzaffar M. Rahmatullaev, Dilshodbek O. EgAMOV

Research output: Contribution to journalArticlepeer-review

Abstract

In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

Original languageEnglish
Pages (from-to)379-393
Number of pages15
JournalReports on Mathematical Physics
Volume91
Issue number3
DOIs
Publication statusPublished - Jun 2023

Keywords

  • Cayley tree
  • competing interactions
  • ground state
  • mixed Ising model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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