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

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… Click to show full 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.

Keywords: kitaev model; gapped chiral; chiral spin; hurwitz hyperbolic; non abelian

Journal Title: Physical Review B
Year Published: 2024

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