$su(2)$ symmetry of XX spin chains
Statistical Mechanics
2025-12-25 v3 Mathematical Physics
math.MP
Abstract
We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact symmetry whose "inhomogeneous" nonlocal generators depend on coefficients that can be explicitly computed for models associated with discrete orthogonal polynomials.
Cite
@article{arxiv.2508.20184,
title = {$su(2)$ symmetry of XX spin chains},
author = {Nicolas Crampé and Rafael I. Nepomechie and Luc Vinet and Nabi Zare Harofteh},
journal= {arXiv preprint arXiv:2508.20184},
year = {2025}
}
Comments
7 pages; v2: references added; v3: more references added