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

DOI10.1063/1.2408398zbMath1121.82014OpenAlexW2049310307WikidataQ59280461 ScholiaQ59280461MaRDI QIDQ3442173

J. F. F. Mendes, Farrukh Mukhamedov, Utkir A. Rozikov

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2408398

Mathematics Subject Classification ID

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

Related Items (6)

On ground states and phase transition for \(\lambda\)-model with the competing Potts interactions on Cayley trees ⋮ Periodic ground states for the mixed spin Ising model with competing interactions on a Cayley tree ⋮ Weakly periodic ground states for the \(\lambda \)-model ⋮ On weakly periodic Gibbs measures for the Potts model with external field on the Cayley tree ⋮ Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree ⋮ Gibbs measures of Potts model on Cayley trees: A survey and applications

Cites Work

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• Ground states of VBS models on Cayley trees
• Gibbs measures and phase transitions
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• Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions
• A new criterion for the location of phase transitions for spin systems on recursive lattices
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
• On \(q\)-component models on Cayley tree: contour method
• Gibbs States on Countable Sets

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