Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
arXiv:2411.03944 · doi: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.
7 pages, 3 figures, published version
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