Bipartite dimer representation of squares of 2d-Ising correlations

DOI10.4171/AIHPD/26zbMath1348.82028arXiv1407.6274MaRDI QIDQ294301

Béatrice de Tilière

Publication date: 16 June 2016

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6274

zbMATH Keywords

correlation functionstwo-dimensional Ising modelbipartite dimer modelXOR-Ising model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Height representation of XOR-Ising loops via bipartite dimers
• Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
• Conformal invariance of spin correlations in the planar Ising model
• Planar Ising correlations.
• The statistics of dimers on a lattice
• Discrete holomorphic parafermions in the Ashkin–Teller model and SLE
• Dimer problem in statistical mechanics-an exact result
• Statistics of the Two-Dimensional Ferromagnet. Part I
• Statistics of the Two-Dimensional Ferromagnet. Part II

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