Antiferromagnetic Long-Range Order in a Lattice Fermion Model
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916920235655168 |
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| author | Goto, Yukimi Koma, Tohru |
| author_facet | Goto, Yukimi Koma, Tohru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Antiferromagnetic Long-Range Order in a Lattice Fermion Model Goto, Yukimi Koma, Tohru Mathematical Physics Statistical Mechanics 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. |
| title | Antiferromagnetic Long-Range Order in a Lattice Fermion Model |
| topic | Mathematical Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2508.12421 |