THE ROTOR MODEL AND COMBINATORICS

DOI10.1142/S0217979202011597zbMath1073.82512arXivmath-ph/0204002MaRDI QIDQ5312044

Bernard Nienhuis, Jan De Gier, Murray T. Batchelor

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0204002

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Alternating sign matrices and descending plane partitions
• The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
• Equivalence of the Potts model or Whitney polynomial with an ice-type model
• Spin chains and combinatorics
• Spin chains and combinatorics: twisted boundary conditions
• Applications of Temperley - Lieb algebras to Lorentz lattice gases