The free energies of six-vertex models and the n-equivalence relation

DOI10.1063/1.2890671zbMath1153.81406arXivcond-mat/0607513OpenAlexW2052433540MaRDI QIDQ3544685

Kazuhiko Minami

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0607513

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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• Alternating-sign matrices and domino tilings. II
• Calculation of norms of Bethe wave functions
• Exact solution of the six-vertex model with domain wall boundary conditions. Disordered phase
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• A variational principle for domino tilings
• The statistics of dimers on a lattice
• Surface free energy of the critical six-vertex model with free boundaries
• Determinant formula for the six-vertex model
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
• Dimer problem in statistical mechanics-an exact result

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