Fractionalization; Luttinger Liquid; Electron injection
Abstract :
[en] We study the problem of injecting single electrons into interacting one-dimensional quantum systems, a fundamental building block for electron quantum optics. It is well known that such injection leads to charge and energy fractionalization. We elucidate this concept by calculating the nonequilibrium electron distribution function in the momentum and energy domains after the injection of an energy-resolved electron. Our results shed light on how fractionalization occurs via the creation of particle-hole pairs by the injected electron. In particular, we focus on systems with a pair of counterpropagating channels, and we fully analyze the properties of each chiral fractional excitation which is created by the injection. We suggest possible routes to access their energy and momentum distribution functions in topological quantum Hall or quantum spin-Hall edge states.
Disciplines :
Physics
Author, co-author :
Acciai, Matteo; Università degli Studi di Genova > DIFI
Calzona, Alessio ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Dolcetto, Giacomo ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Schmidt, Thomas ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Sassetti, Maura; Università degli Studi di Genova > DIFI
External co-authors :
yes
Language :
English
Title :
Charge and energy fractionalization mechanism in one-dimensional channels
Publication date :
22 August 2017
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
ISSN :
1550-235X
Publisher :
American Physical Society
Volume :
96
Pages :
075144
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Funders :
Fonds National de la Recherche - Grant ATTRACT 7556175