New classes of ground states for the Potts model with random competing interactions on a Cayley tree

DOI10.1007/s11232-014-0182-xzbMath1308.82011OpenAlexW1972906264MaRDI QIDQ2262775

N. M. Khatamov

Publication date: 16 March 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0182-x

zbMATH Keywords

ground stateCayley treePotts model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree

Cites Work

• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Potts model with competing interactions on the Cayley tree: The contour method
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
• Gibbs Measures on Cayley Trees
• On Pure Phases of the Ising Model on the Bethe Lattices