- Letter
Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
Phys. Rev. B 111, L060408 – Published 25 February, 2025
DOI: https://doi.org/10.1103/PhysRevB.111.L060408
Abstract
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.
