Dumbbell Fermions and Spin Models on Honeycomb Lattices
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917966199652352 |
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| author | Banks, T. |
| author_facet | Banks, T. |
| contents | We express Kitaev's exact solution of spin models on the honeycomb lattice as a special case of a higher dimensional duality between staggered Majorana fermions and Pauli spins. General models with bilinear nearest neighbor couplings of spins and external magnetic fields are soluble in this way. Each model gives rise to an infinite number of single particle fermion Schrodinger equations, depending on the choice of discrete gauge field flux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dumbbell Fermions and Spin Models on Honeycomb Lattices Banks, T. Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory We express Kitaev's exact solution of spin models on the honeycomb lattice as a special case of a higher dimensional duality between staggered Majorana fermions and Pauli spins. General models with bilinear nearest neighbor couplings of spins and external magnetic fields are soluble in this way. Each model gives rise to an infinite number of single particle fermion Schrodinger equations, depending on the choice of discrete gauge field flux. |
| title | Dumbbell Fermions and Spin Models on Honeycomb Lattices |
| topic | Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.13975 |