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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.21453 |
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| _version_ | 1866910227357499392 |
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| author | Jackson, Thomas |
| author_facet | Jackson, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike Graphs Jackson, Thomas Mathematical Physics 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. |
| title | Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike Graphs |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.21453 |