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Pré-Publication, Document De Travail Année : 2023

Boundary correlations for the Z-invariant Ising Model

Résumé

Consider the natural graph associated to a rhombus tiling of a polygonal region in the plane. The spin correlations between boundary vertices of this graph in the Z-invariant Ising model do not depend on the choice of the rhombus tiling but only on the region. We provide a matrix formula depending on the region which allows practical computations of boundary correlations in this setting, extending the results of Galashin in the critical case.
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Dates et versions

hal-04343249 , version 1 (13-12-2023)

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Paternité - Partage selon les Conditions Initiales

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Tristan Pham-Mariotti. Boundary correlations for the Z-invariant Ising Model. 2023. ⟨hal-04343249⟩
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