R-matrix for the XX spin chain in a staggered magnetic field
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929520679845888 |
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| author | Bibikov, P. N. |
| author_facet | Bibikov, P. N. |
| contents | We suggest the elliptic $16\times16$ R-matrix for the XX spin chain in a staggered magnetic field. This integrable model is a special case of the more general one, studied long ago within the alternative approach by V. M. Kontorovich and V. M. Tsukernik. The Yang-Baxter equation is verified with the full rigorous only in the two special degenerate trigonometric cases. For the general one, studying the first terms of the Taylor expansions for the $R$-matrix entries, we give the strong evidence for implementation of the Yang-Baxter equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | R-matrix for the XX spin chain in a staggered magnetic field Bibikov, P. N. Exactly Solvable and Integrable Systems We suggest the elliptic $16\times16$ R-matrix for the XX spin chain in a staggered magnetic field. This integrable model is a special case of the more general one, studied long ago within the alternative approach by V. M. Kontorovich and V. M. Tsukernik. The Yang-Baxter equation is verified with the full rigorous only in the two special degenerate trigonometric cases. For the general one, studying the first terms of the Taylor expansions for the $R$-matrix entries, we give the strong evidence for implementation of the Yang-Baxter equation. |
| title | R-matrix for the XX spin chain in a staggered magnetic field |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2409.19775 |