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arXiv · 1804.08323

Asymptotics of even-even correlations in the Ising model

Sébastien Ott·Yvan Velenik
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Abstract

We consider finite-range ferromagnetic Ising models on $\mathbb{Z}^d$ in the regime $β<β_c$. We analyze the behavior of the prefactor to the exponential decay of $\mathrm{Cov}(σ_A,σ_B)$, for arbitrary finite sets $A$ and $B$ of even cardinality, as the distance between $A$ and $B$ diverges.

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Sébastien Ott, Yvan Velenik. 2020-03-25. Asymptotics of even-even correlations in the Ising model. https://doi.org/10.1007/s00440-018-0890-5

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