[en] 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.
Disciplines :
Physique
Auteur, co-auteur :
SCHMIDT, Thomas ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Bosonization for Fermions and Parafermions
Date de publication/diffusion :
janvier 2020
Titre du périodique :
European Physical Journal. Special Topics
ISSN :
1951-6355
eISSN :
1951-6401
Maison d'édition :
EDP Sciences, Les Ulis, France
Titre particulier du numéro :
New Directions in the Physics of One-dimensional Electron Systems
