Fock Parafermions and Self-Dual Representations of the Braid Group

@article{Cobanera2014FockPA,
title={Fock Parafermions and Self-Dual Representations of the Braid Group},
author={Emilio Cobanera and Gerardo Guzman Ortiz},
journal={Physical Review A},
year={2014},
volume={89},
pages={012328}
}
• Published 2014
• Physics, Mathematics
• Physical Review A
We introduce and describe in second quantization a family of particle species with $$p=2,3,\dots$$ exclusion and $$\theta=2\pi/p$$ exchange statistics. We call these anyons Fock parafermions, because they are the particles naturally associated to the parafermionic zero-energy modes, potentially realizable in mesoscopic arrays of fractional topological insulators. Their second-quantization description entails the concept of Fock algebra, i.e., a Fock space endowed with a statistical… Expand
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