Antiferromagnetic Long-Range Order in a Lattice Fermion Model

2025/08/17 by Yukimi Goto, Goto, Yukimi, Tohru Koma +1
Physics and Astronomy · #FOS: Physical sciences #Magnetic properties of thin films #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2508.12421

openalex publication_date 2025/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Violation of Parity and Flavor Symmetries in a Nambu-Jona-Lasinio Model
• π Flux Phase and Superconductivity for Lattice Fermions Coupled to Classical Gauge Fields
• Nambu-Goldstone Modes for Superconducting Lattice Fermions

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