Antiferromagnetic Long-Range Order in a Lattice Fermion Model
Mathematical Physics
2025-08-28 v2 Statistical Mechanics
math.MP
Abstract
We study a lattice fermion model with antiferromagnetic interactions on the three-dimensional cubic lattice. The hopping term of the Hamiltonian has a Weyl-type dispersion. We prove that the model has reflection positivity. Moreover, by relying on the property, we prove the existence of the antiferromagnetic long-range order at low temperatures in a strong coupling regime.
Keywords
Cite
@article{arxiv.2508.12421,
title = {Antiferromagnetic Long-Range Order in a Lattice Fermion Model},
author = {Yukimi Goto and Tohru Koma},
journal= {arXiv preprint arXiv:2508.12421},
year = {2025}
}
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26 pages