Fractional spin liquid hierarchy for spin S antiferromagnets

TL;DR

This paper introduces a hierarchy of spin liquids for spin S antiferromagnets, generated through Schwinger boson projection, which exhibit non-Abelian statistics and may model disordered antiferromagnets with mobile charge carriers.

Contribution

It proposes a novel hierarchy of spin liquids for arbitrary spin S, linking Abelian chiral spin liquids to non-Abelian statistics in integer spin cases.

Findings

Constructed P and T invariant spin liquids for integer S.

Showed these liquids support SU(2) level k=S non-Abelian statistics.

Suggested these liquids as models for disordered antiferromagnets.

Abstract

We propose a hierarchy of spin liquids with spin S, which are generated via a Schwinger boson projection from 2S (Abelian) chiral spin liquids with S=1/2. We argue that the P and T invariant liquids we construct for integer spin S support SU(2) level k=S non-Abelian statistics. We conjecture that these spin liquids serve as paradigms for antiferromagnets which are disordered through mobile charge carriers.