Bosonization for Fermions and Parafermions

Reference : Bosonization for Fermions and Parafermions


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	Focus Areas :	Physics and Materials Science
	To cite this reference:	http://hdl.handle.net/10993/42491

Title :	Bosonization for Fermions and Parafermions
Language :	English
Author, co-author :	Schmidt, Thomas [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Publication date :	Jan-2020
Journal title :	European Physical Journal. Special Topics
Publisher :	EDP Sciences
Volume :	229
Special issue title :	New Directions in the Physics of One-dimensional Electron Systems
Pages :	621
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1951-6355
e-ISSN :	1951-6401
City :	Les Ulis
Country :	France
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/42491
DOI :	10.1140/epjst/e2019-900112-y

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