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Charge fractionalization on quantum Hall edges
Stockholm University, Faculty of Science, Department of Physics.
2011 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 84, no 11, 115313- p.Article in journal (Refereed) Published
Abstract [en]

We discuss the propagation and fractionalization of localized charges on the edges of quantum Hall bars of variable widths, where interactions between the edges give rise to Luttinger liquid behavior with a nontrivial interaction parameter g. We focus in particular on the separation of an initial charge pulse into a sharply defined front charge and a broader tail. The front pulse describes an adiabatically dressed electron that carries a noninteger charge, which is root g times the electron charge. We discuss how the presence of this fractional charge can, in principle, be detected through measurements of the noise in the current created by tunneling of electrons into the system. The results are illustrated by numerical simulations of a simplified model of the Hall bar.

Place, publisher, year, edition, pages
2011. Vol. 84, no 11, 115313- p.
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Natural Sciences
Identifiers
URN: urn:nbn:se:su:diva-66525DOI: 10.1103/PhysRevB.84.115313ISI: 000295084000012OAI: oai:DiVA.org:su-66525DiVA: diva2:469833
Note
authorCount :4Available from: 2011-12-27 Created: 2011-12-20 Last updated: 2017-12-08Bibliographically approved

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