Non-Abelian Statistics in a Quantum Antiferromagnet

Details Non-Abelian Statistics in a Quantum Antiferromagnet Non-Abelian Statistics in a Quantum Antiferromagnet

2009-03-26

arxiv.org/abs/0903.4547v1

Phys. Rev. Lett. 102, 207203 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.102.207203

We propose a novel spin liquid state for a spin S=1 antiferromagnet in two dimensions. The ground state violates P and T, is a spin-singlet, and is fully invariant under the lattice symmetries. The spinon and holon excitations are deconfined and obey non-abelian statistics. We present preliminary numerical evidence that the universality class of this topological liquid can be stabilized by a local Hamiltonian involving three-spin interactions. We conjecture that spinons in spin liquids with spin larger than 1/2 obey non-abelian statistics in general.

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