The q-deformed Haldane-Shastry chain at q=i with even length
Statistical Mechanics
2024-12-19 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this note we announce some results extending our recent work with A. Toufik on the free-fermion point q=i of the Haldane-Shastry chain to the case with an even number N of sites. The resulting long-range version of the Heisenberg XX chain may be viewed as a model of fermions with extended gl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks.
Cite
@article{arxiv.2411.02472,
title = {The q-deformed Haldane-Shastry chain at q=i with even length},
author = {Adel Ben Moussa and Jules Lamers and Didina Serban},
journal= {arXiv preprint arXiv:2411.02472},
year = {2024}
}
Comments
7 pages, no figure