# Quantum spin liquid with 7 elementary particles

## TL;DR

This paper introduces an exactly solvable quantum spin liquid model on a triangular lattice featuring seven elementary particles, including bosons and fermions, with unique topological properties and localized excitations.

## Contribution

It presents a novel exactly solvable model with more elementary particles and higher topological degeneracy than previous models like Kitaev's and Wen's toric codes.

## Key findings

- Contains 4 bosons and 3 fermions as elementary particles
- Exhibits a topological degeneracy of 64 on a torus
- Elementary excitations are boson-fermion pairs with 12 flavors

## Abstract

We present an exactly solvable model of a quantum spin liquid with Abelian anyons in d=2 spatial dimensions. With spins 1/2 on a triangular lattice and six-body interactions, our model has zero spin correlation length and localized elementary excitations like the toric codes of Kitaev and Wen. In contrast to those earlier models, it has more elementary particles---4 bosons and 3 fermions---and higher topological degeneracy of 64 on a torus. Elementary excitations are boson-fermion pairs that come in 12 distinct flavors. We use string operators to expose the topological nature of the model.