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arXiv · 2505.06209

A correlation bound for the one-dimensional heterogeneous Ising model

Edward Athaide·Maciej Głuchowski·Jonas Köppl·Georg Menz
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Abstract

We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor coupling constants and the effect of external fields. The proof constitutes an application of random currents to a non-ferromagnetic Ising model.

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Edward Athaide, Maciej Głuchowski, Jonas Köppl, Georg Menz. 2025-05-09. A correlation bound for the one-dimensional heterogeneous Ising model. https://arxiv.org/abs/2505.06209

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