Correlation inequalities for the Potts model

Abstract

Correlation inequalities are presented for ferromagnetic Potts models with external field, using the random-cluster representation of Fortuin and Kasteleyn, together with the FKG inequality. These results extend and simplify earlier inequalities of Ganikhodjaev and Razak, and also of Schonmann, and include GKS-type inequalities when the spin-space is taken as the set of $q$th roots of unity.

v2: accepted in Mathematics and Mechanics of Complex Systems

References in corpus (5)

• The Random-Cluster Model
• The phase transition of the quantum Ising model is sharp
• Vanishing critical magnetization in the quantum Ising model
• Correlation Inequalities for Generalized Potts Model: General Griffiths' Inequalities
• Random Current Representation for Transverse Field Ising Models

Cited by in corpus (2)

• The phase transition of the quantum Ising model is sharp
• Graphical representations of Ising and Potts models