
We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that corresponds to the translationally invariant case of a vortex-lattice is derived from which the energy of a single pair of vortices can be estimated. The anyonic properties of the vortices are demonstrated and their generation and transportation manipulations are explicitly given. A simple interference experiment with six spins is proposed that can reveal the anyonic statistics of this model.
8 pages, 5 figures
High Energy Physics - Theory, Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, quantum computation, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Quantum field theory on lattices, High Energy Physics - Theory (hep-th), anyons, Quantum computation, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), topological models, Topological field theories in quantum mechanics, Quantum Physics (quant-ph)
High Energy Physics - Theory, Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, quantum computation, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Quantum field theory on lattices, High Energy Physics - Theory (hep-th), anyons, Quantum computation, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), topological models, Topological field theories in quantum mechanics, Quantum Physics (quant-ph)
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