Random-cluster representation of the Ashkin-Teller model

DOI10.1007/BF02732435zbMath0945.82531arXivcond-mat/9704017OpenAlexW3099237402MaRDI QIDQ1285073

Charles-Edouard Pfister, Yvan Velenik

Publication date: 11 October 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9704017

zbMATH Keywords

dualitypercolationAshkin-Teller modelFKGrandom cluster

Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Spins, percolation and height functions, Finitary codings for gradient models and a new graphical representation for the six‐vertex model, On the transition between the disordered and antiferroelectric phases of the 6-vertex model, Phase diagram of the Ashkin-Teller model, The random cluster representation for the infinite-spin Ising model: Application to QCD pure gauge theory, Sharp asymptotics of correlation functions in the subcritical long-range random-cluster and Potts models, Intersecting loop models on \({\mathbb Z}^ d\): rigorous results., Euler-Poincaré characteristic and phase transition in the Potts model on \(\mathbb{Z}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Correlation inequalities on some partially ordered sets
• On the behavior of the surface tension for spin systems in a correlated porous medium.
• Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions
• Potts models and random-cluster processes with many-body interactions
• Exponential decay of connectivities in the two-dimensional Ising model
• Surface order large deviations for Ising, Potts and percolation models
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Phase coexistence in partially symmetric \(q\)-state models