Non-Abelian chiral spin liquid on a simple non-Archimedean lattice

Abstract

We extend the scope of Kitaev spin liquids to non-Archimedean lattices. For the pentaheptite lattice, which results from the proliferation of Stone-Wales defects on the honeycomb lattice, we find an exactly solvable non-Abelian chiral spin liquid with spontaneous time reversal symmetry breaking due to lattice loops of odd length. Our findings call for potential extensions of exact results for Kitaev models which are based on reflection positivity, which is not fulfilled by the pentaheptite lattice. We further elaborate on potential realizations of our chiral spin liquid proposal in strained $\alpha$-RuCl${}_3$.

arXiv comment4+ pages, 4 figures, Supplemental Material (6 pages, 7 figures)

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• Effective models for dense vortex lattices in the Kitaev honeycomb model
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid