Mosaic spin models with topological order

TL;DR

This paper introduces a class of exactly solvable 2D spin models with mosaic lattice structures that exhibit topological order, including phases with Abelian and non-Abelian anyons, characterized by Chern numbers and edge modes.

Contribution

It presents a novel exactly solvable model framework for topological order using mosaic lattice structures and analyzes their quantum phases and topological properties.

Findings

Identification of Abelian and non-Abelian anyon phases

Topological properties characterized by Chern numbers

Edge modes reveal topological order

Abstract

We study a class of two-dimensional spin models with the Kitaev-type couplings in mosaic structure lattices to implement topological orders. We show that they are exactly solvable by reducing them to some free Majorana fermion models with gauge symmetries. The typical case with a 4-8-8 close packing is investigated in detail to display the quantum phases with Abelian and non-Abelian anyons. Its topological properties characterized by Chern numbers are revealed through the edge modes of its spectrum.