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Bosonization for fermions and parafermions

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Abstract

Parafermions are fractional excitations which can be regarded as generalizations of Majorana bound states, but in contrast to the latter they require electron-electron interactions. Compared to Majorana bound states, they offer richer non-Abelian braiding statistics, and have thus been proposed as building blocks for topologically protected universal quantum computation. In this review, we provide a pedagogical introduction to the field of parafermion bound states in one-dimensional systems. We present the necessary theoretical tools for their study, in particular bosonization and the renormalization-group technique, and show how those can be applied to study parafermions.

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  1. Physics and Materials Science Research Unit, University of Luxembourg, 1511, Luxembourg, Luxembourg

    Thomas L. Schmidt

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  1. Thomas L. Schmidt
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Schmidt, T.L. Bosonization for fermions and parafermions. Eur. Phys. J. Spec. Top. 229, 621–636 (2020). https://doi.org/10.1140/epjst/e2019-900112-y

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