The challenge of the chiral Potts model

Abstract

The chiral Potts model continues to pose particular challenges in statistical mechanics: it is ``exactly solvable'' in the sense that it satisfies the Yang-Baxter relation, but actually obtaining the solution is not easy. Its free energy was calculated in 1988 and the order parameter was conjectured in full generality a year later. However, a derivation of that conjecture had to wait until 2005. Here we discuss that derivation.

22 pages, 3 figures, 29 references

References in corpus (3)

• Transfer matrix functional relations for the generalized tau_2(t_q) model
• Derivation of the order parameter of the chiral Potts model
• The order parameter of the chiral Potts model

Cited by in corpus (7)

• Parafermionic edge zero modes in Z_n-invariant spin chains
• Free parafermions
• Numerical study of the chiral ${\mathbb{Z}}_3$ quantum phase transition in one spatial dimension
• Quantum field theory for the chiral clock transition in one spatial dimension
• The ${\tau }_2$ model and parafermions
• A Graph-Theoretic Framework for Free-Parafermion Solvability
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model