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The Wavefunction of an Anyon

Jiannis K. Pachos
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Abstract

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.

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Jiannis K. Pachos. 2006-05-06. The Wavefunction of an Anyon. https://doi.org/10.1016/j.aop.2006.05.007

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