R-matrix for the XX spin chain in a staggered magnetic field
Exactly Solvable and Integrable Systems
2024-10-01 v1
Abstract
We suggest the elliptic 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 -matrix entries, we give the strong evidence for implementation of the Yang-Baxter equation.
Cite
@article{arxiv.2409.19775,
title = {R-matrix for the XX spin chain in a staggered magnetic field},
author = {P. N. Bibikov},
journal= {arXiv preprint arXiv:2409.19775},
year = {2024}
}
Comments
12 pages