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arXiv:nlin/0112001 · Physics Letters A

How to solve Yang–Baxter equation using the Taylor expansion of R-matrix

P. N. Bibikov

Published Jun 9, 2003• 8 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(03)00818-1

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We suggest the elliptic 16×1616\times1616×16 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 RRR-matrix entries, we give the strong evidence for implementation of the Yang-Baxter equation.