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arXiv · 2611.06617

A Counterexample to the Weak Gibbs and Regularity Conjectures

Marius Wesle
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Abstract

We provide a counterexample to the weak Gibbs and regularity conjectures. The example is a spin-one system on the square lattice with a translation-invariant nearest-neighbor interaction. At high temperatures and high on-site field strengths, it has a unique KMS state that does not have the weak Gibbs or regularity properties.

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Marius Wesle. 2026-11-04. A Counterexample to the Weak Gibbs and Regularity Conjectures. https://arxiv.org/abs/2611.06617

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