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arXiv · 2411.03944

Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid

Rémy Mosseri·Yasir Iqbal·Roger Vogeler·Julien Vidal
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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.

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Rémy Mosseri, Yasir Iqbal, Roger Vogeler, Julien Vidal. 2024-11-06. Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid. https://doi.org/10.1103/physrevb.111.l060408

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