R-matrix for the XX spin chain in a staggered magnetic field
Abstract
We suggest the elliptic 16×16 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 R-matrix entries, we give the strong evidence for implementation of the Yang-Baxter equation.
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