An exact spin liquid state on the kagome lattice with topological order

TL;DR

This paper presents an exact spin liquid state on the kagome lattice exhibiting topological order, anyonic excitations, ground state degeneracy, and gapless edge states, advancing understanding of quantum spin liquids.

Contribution

It introduces an exact, explicit wave function for a spin liquid with topological order on the kagome lattice, including all eigenstates and their topological properties.

Findings

All spin-spin correlations are zero except trivial cases.

Presence of anyonic excitations in the model.

Ground state degeneracy and gapless edge states indicating topological order.

Abstract

We find an exact spin liquid state without time reversal symmetry on the kagome lattice with odd number of electrons per unit cell and explicit wave functions for all eigenstates. We also obtain that all spin-spin correlations are zero except trivial cases. We then show that there are anyonic excitations in our model. Finally, we demonstrate the existence of ground state degeneracy and gapless edge states indicating nontrivial topological order in our model. We also label all eiginstates on torus by local and global string operators.