We study the Kitaev model on the trivalent heptagonal Hurwitz hyperbolic tiling. The presence of odd-length loops in the tiling is responsible for a spontaneous time-reversal symmetry breaking. Interestingly, at the isotropic point, the two degenerate ground states (Kramers pair) are shown to be gapped chiral spin liquids and the elementary excitations are non-Abelian Ising anyons.
@article{arxiv.2411.03944,
title = {Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid},
author = {Rémy Mosseri and Yasir Iqbal and Roger Vogeler and Julien Vidal},
journal= {arXiv preprint arXiv:2411.03944},
year = {2025}
}