Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice

Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

We have found an exact phase diagram of the Potts model with competing nearest neighbor and next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the multicritical point (T = 0, p = 1 / 3). We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by zero average magnetization lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting.

Original languageEnglish
Pages (from-to)33-38
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number1
DOIs
Publication statusPublished - Dec 22 2008
Externally publishedYes

Keywords

  • Bethe lattice
  • Dynamical system
  • Modulated phase
  • Next nearest neighbour
  • Phase diagram
  • Potts model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice'. Together they form a unique fingerprint.

Cite this