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arXiv · 0903.4547

Non-Abelian Statistics in a Quantum Antiferromagnet

Martin Greiter·Ronny Thomale
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Abstract

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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Martin Greiter, Ronny Thomale. 2009-03-26. Non-Abelian Statistics in a Quantum Antiferromagnet. https://doi.org/10.1103/physrevlett.102.207203

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