Parent Hamiltonian for the non-Abelian chiral spin liquid

TL;DR

This paper constructs an exact parent Hamiltonian for non-Abelian chiral spin liquids, including the Abelian case, using a circular disk geometry, with results exact in the thermodynamic limit.

Contribution

It introduces a parent Hamiltonian for non-Abelian chiral spin liquids, extending previous models to include the Abelian case within a unified framework.

Findings

Hamiltonian constructed for non-Abelian chiral spin liquids

Includes the Abelian chiral spin liquid as a special case

Results are exact in the thermodynamic limit

Abstract

We construct a parent Hamiltonian for the family of non-Abelian chiral spin liquids proposed recently by two of us [PRL 102, 207203 (2009)], which includes the Abelian chiral spin liquid proposed by Kalmeyer and Laughlin, as the special case S=1/2. As we use a circular disk geometry with an open boundary, both the annihilation operators we identify and the Hamiltonians we construct from these are exact only in the thermodynamic limit.