Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike Graphs
Mathematical Physics
2026-05-19 v2 math.MP
Abstract
We extend the result of Fannes, Nachtergaele, and Werner on long-range order in the AKLT model on Cayley trees to include various trees and tree-like graphs that obey certain conditions. Our examples split into three cases: Cayley-like tree-like graphs generated by a finite subgraph, for which we have a simple condition; arbitrary trees with a prescribed growth rate of their volume; and bilayer Cayley trees.
Cite
@article{arxiv.2511.21453,
title = {Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike Graphs},
author = {Thomas Jackson},
journal= {arXiv preprint arXiv:2511.21453},
year = {2026}
}