On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

Farrukh Mukhamedov, Utkir Rozikov, José F.F. Mendes

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We consider the Potts model with competing two-step interactions and spin values 1, 2, 3 on a semi-infinite Cayley tree of order 2. We describe ground states and verify the Peierls condition for the model. Using a contour argument we show the existence of three different Gibbs measures associated with translation invariant ground states.

Original languageEnglish
Article number013301
JournalJournal of Mathematical Physics
Volume48
Issue number1
DOIs
Publication statusPublished - 2007
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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