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

DOI10.1016/J.NUCLPHYSB.2007.07.004zbMATH Open1151.82007arXivcond-mat/0612037OpenAlexW2167929205WikidataQ58082357 ScholiaQ58082357MaRDI QIDQ2461132

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Publication date: 26 November 2007

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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 Z_2 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0612037

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