Four-vertex model and random tilings

DOI10.1007/s11232-008-0043-6zbMath1155.81337arXiv0711.0030OpenAlexW3103947904MaRDI QIDQ1002598

N. M. Bogolyubov

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0030

zbMATH Keywords

Bethe ansatzintegrable modelplane partition

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (13)

The five-vertex model and enumerations of plane partitions ⋮ Quantum Hamiltonians generated by the \(R\)-matrix of the five-vertex model ⋮ Ising limit of a Heisenberg XXZ magnet and some temperature correlation functions ⋮ Weighted enumerations of boxed plane partitions and the inhomogeneous five-vertex model ⋮ Arctic curves of the four-vertex model ⋮ One-point function of the four-vertex model ⋮ Five-vertex model and Lozenge tilings of a hexagon with a dent ⋮ Beyond windability: approximability of the four-vertex model ⋮ Five-vertex model with fixed boundary conditions ⋮ The partition function of the four-vertex model in a special external field ⋮ The five-vertex model and boxed plane partitions ⋮ The partition function of the four-vertex model in inhomogeneous external field and trace statistics ⋮ Determinant formulas for the five-vertex model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Statistical mechanics of combinatorial partitions, and their limit shapes
• Calculation of norms of Bethe wave functions
• Quantum inverse scattering method for the \(q\)-boson model and symmetric functions
• Temperature correlation function in the absolutely anisotropic \(XXZ\) Heisenberg magnet
• Enumeration of plane partitions and the algebraic Bethe ansatz
• Boxed plane partitions as an exactly solvable boson model
• Boundary correlation functions of the six-vertex model
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• Domino tilings and the six-vertex model at its free-fermion point
• Boxed skew plane partition and integrable phase model

This page was built for publication: Four-vertex model and random tilings