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arXiv · 2312.08752

Boundary correlations for the Z-invariant Ising Model

Tristan Pham-Mariotti
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Abstract

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

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Tristan Pham-Mariotti. 2023-12-14. Boundary correlations for the Z-invariant Ising Model. https://arxiv.org/abs/2312.08752

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