Fock Parafermions and Self-Dual Representations of the Braid Group

  title={Fock Parafermions and Self-Dual Representations of the Braid Group},
  author={Emilio Cobanera and Gerardo Guzman Ortiz},
  journal={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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  • 2017
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