The Wavefunction of an Anyon
Quantum Physics
2008-11-26 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.quant-ph/0605068,
title = {The Wavefunction of an Anyon},
author = {Jiannis K. Pachos},
journal= {arXiv preprint arXiv:quant-ph/0605068},
year = {2008}
}
Comments
8 pages, 5 figures