Journal
ANNALS OF PHYSICS
Volume 322, Issue 6, Pages 1254-1264Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2006.05.007
Keywords
anyons; topological models; quantum computation
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Funding
- EPSRC [EP/E019692/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E019692/1] Funding Source: researchfish
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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. (C) 2006 Elsevier Inc. All rights reserved.
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