Chiral Gapless Spin Liquid in Hyperbolic Space

Author(s): Felix Dusel, Tobias Hofmann, Atanu Maity, Rémy Mosseri, Julien Vidal, Yasir Iqbal, Martin Greiter, and Ronny Thomale We analyze the Kitaev model on the ${9,3}$ hyperbolic lattice. The ${9,3}$ is formed by a regular tricoordinated tiling of nonagons, where the three-color coding of bonds according to the inequivalent Kitaev Ising spin couplings yields the natural generalization of the original Kitaev model for Eucl… [Phys. Rev. Lett. 134, 256604] Published Thu Jun 26, 2025