# Exact chiral spin liquid state in a Kitaev type spin model

## TL;DR

This paper introduces an exactly solvable Kitaev-type spin model on a modified honeycomb lattice, revealing a chiral spin liquid ground state with gapless excitations, non-Abelian anyons, and chiral edge modes.

## Contribution

It presents an exact solution for a new frustrated lattice spin model that exhibits a chiral spin liquid with topological properties and non-Abelian anyons.

## Key findings

- Ground state is a chiral spin liquid with Chern number ±1.
- Model hosts non-Abelian anyons bound to vortex excitations.
- Ground state has gapless excitations and chiral edge modes.

## Abstract

We study a frustrated two-dimensional lattice spin model with Kitaev type interaction. The lattice is obtained from the honeycomb lattice by replacing half of its sites with triangles. Using the SO(3) Majorana representation of spin, the model is exactly mapped into a $Z_{2}$ lattice gauge theory of complex fermions with standard Gauss law constraint. We show that the ground state of the model is a chiral spin liquid, and it has gapless excitations. The Chern number of the ground state is $\pm 1$, implying the existence of chiral edge mode. The vortex excitation of the model is bound with a Majorana zero mode, such mode behaves as non-Abelian anyons.