A staggered six-vertex model with non-compact continuum limit

2006/12/01 by Yacine Ikhlef, Ikhlef, Yacine, Jesper Lykke Jacobsen +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.cond-mat/0612037

openalex publication_date 2006/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The antiferromagnetic critical point of the Potts model on the square lattice was identified by Baxter as a staggered integrable six-vertex model. In this work, we investigate the integrable structure of this model. It enables us to derive some new properties, such as the Hamiltonian limit of the model, an equivalent vertex model, and the structure resulting from the Z₂ symmetry. Using this material, we discuss the low-energy spectrum, and relate it to geometrical excitations. We also compute the critical exponents by solving the Bethe equations for a large lattice width N. The results confirm that the low-energy spectrum is a collection of continua with typical exponent gaps of order 1/(log N)².

Cited by

• Quantum-group-invariant D⁽²⁾_n+1 models: Bethe ansatz and finite-size spectrum
• Properties of the temporal transfer matrix in integrable Floquet circuits

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