https://doi.org/10.1140/epjst/e2019-900112-y
Review
Bosonization for fermions and parafermions
Physics and Materials Science Research Unit, University of Luxembourg,
1511
Luxembourg, Luxembourg
a e-mail: thomas.schmidt@uni.lu
Received:
17
June
2019
Received in final form:
26
July
2019
Published online: 14 February 2020
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020
