Non-Abelian statistics in a quantum antiferromagnet.
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.
Greiter
Martin
M
Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D 76128 Karlsruhe, Germany.
Thomale
Ronny
R