Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model.

DOI10.1007/BF02179789zbMath1042.82533OpenAlexW3099947351MaRDI QIDQ1593349

Zhan-Ning Hu, Bo-Yu Hou

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179789

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Hidden symmetries in a 6-vertex model of statistical physics
• The Yang-Baxter equations and the Zamolodchikov model
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• Remarks on the star-triangle relation in the Baxter-Bazhanov model.
• The vertex formulation of the Bazhanov-Baxter model.
• Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators
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• Chiral Potts model as a descendant of the six-vertex model
• ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS
• NEW SOLUTION OF VERTEX TYPE TETRAHEDRON EQUATIONS
• THREE-DIMENSIONAL STAR-STAR RELATION
• NEW SERIES OF 3D LATTICE INTEGRABLE MODELS
• QUANTUM DILOGARITHM
• SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
• Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
• Solutions of n-simplex equation from solutions of braid group representation
• Labelling schemes for tetrahedron equations and dualities between them
• Star-triangle relation for a three-dimensional model

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