Order by disorder up to arbitrarily high temperature

Fuente: arXiv
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Autor principal: Mehta, Ravish
Formato: Preprint
Publicado: 2026
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author Mehta, Ravish
author_facet Mehta, Ravish
contents We prove that a class of classical lattice models on $\mathbb{Z}^d$ ($d \geq 2$) with on-site space $\mathbb{N}_0$ and nearest neighbour interaction, exhibits long-range checkerboard order at sufficiently high temperature. The ordering mechanism is purely entropic. The class of models contains the recently introduced model of Han--Huang--Komargodski--Lucas--Popov (arXiv:2503.22789), by which our work is inspired. The proof uses Pirogov--Sinai theory and the key input is a Peierls bound.
format Preprint
id arxiv_https___arxiv_org_abs_2604_28026
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Order by disorder up to arbitrarily high temperature
Mehta, Ravish
Statistical Mechanics
We prove that a class of classical lattice models on $\mathbb{Z}^d$ ($d \geq 2$) with on-site space $\mathbb{N}_0$ and nearest neighbour interaction, exhibits long-range checkerboard order at sufficiently high temperature. The ordering mechanism is purely entropic. The class of models contains the recently introduced model of Han--Huang--Komargodski--Lucas--Popov (arXiv:2503.22789), by which our work is inspired. The proof uses Pirogov--Sinai theory and the key input is a Peierls bound.
title Order by disorder up to arbitrarily high temperature
topic Statistical Mechanics
url https://arxiv.org/abs/2604.28026