Year: 2026
Type: preprint
Abstract: Consider the nearest-neighbor antiferromagnetic Ising model on $\mathbb{Z}^d$, $d\ge2$, at inverse temperature $β$ and in a uniform external field $h$. Let $β_c(d)$ be the critical inverse temperature of the zero-field Ising model. We prove that for every $β>β_c(d)$, the Gibbs state is not unique whenever $|h|$ is sufficiently small. This extends a previous result of Dobrushin (1968) from sufficiently large $β$ to every $β>β_c(d)$.
Source: arXiv (Cornell University)
Authors: Jiang, Jianping, Lang, Sike
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G5647754011, G6755161217
OpenAlex ID: W7220745678