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arXiv · 2409.19775

R-matrix for the XX spin chain in a staggered magnetic field

P. N. Bibikov
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Abstract

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.

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P. N. Bibikov. 2024-09-29. R-matrix for the XX spin chain in a staggered magnetic field. https://arxiv.org/abs/2409.19775

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