The q-deformed Haldane-Shastry chain at q=i with even length
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913616915070976 |
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| author | Moussa, Adel Ben Lamers, Jules Serban, Didina |
| author_facet | Moussa, Adel Ben Lamers, Jules Serban, Didina |
| contents | In this note we announce some results extending our recent work with A. Toufik on the free-fermion point q=i of the Haldane-Shastry chain to the case with an even number N of sites. The resulting long-range version of the Heisenberg XX chain may be viewed as a model of fermions with extended gl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The q-deformed Haldane-Shastry chain at q=i with even length Moussa, Adel Ben Lamers, Jules Serban, Didina Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems In this note we announce some results extending our recent work with A. Toufik on the free-fermion point q=i of the Haldane-Shastry chain to the case with an even number N of sites. The resulting long-range version of the Heisenberg XX chain may be viewed as a model of fermions with extended gl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks. |
| title | The q-deformed Haldane-Shastry chain at q=i with even length |
| topic | Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2411.02472 |