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

## TL;DR

This paper extends Kitaev spin liquid models to non-Archimedean lattices, specifically the pentaheptite lattice, revealing an exactly solvable non-Abelian chiral spin liquid with spontaneous time reversal symmetry breaking, and discusses potential realizations in strained $$-RuCl$_3$.

## Contribution

It introduces an exactly solvable non-Abelian chiral spin liquid on a non-Archimedean lattice, expanding the understanding of Kitaev models beyond traditional lattices.

## Key findings

- Identified a non-Abelian chiral spin liquid on the pentaheptite lattice.
- Demonstrated spontaneous time reversal symmetry breaking due to lattice loops.
- Discussed potential experimental realizations in strained $$-RuCl$_3$.

## 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$_3$.