Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency noise, which are shown to fully characterize the low energy p...

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Bibliographic Details
Published inarXiv.org
Main Authors Degiovanni, Pascal, Grenier, Charles, Fève, Gwendal, Altimiras, Carles, Hélène Le Sueur, Pierre, Frédéric
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.10.2009
Subjects
Channels
High frequencies
Mathematical analysis
Physics - Mesoscale and Nanoscale Physics
Predictions
Scattering
Strong interactions (field theory)
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Summary:Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency noise, which are shown to fully characterize the low energy plasmon scattering. In the strong interaction limit, the predictions for energy redistribution are compared with recent experimental data and found to reproduce most of the observed features. Quantitative agreement can be achieved by assuming 25 % of the injected energy is lost towards other degrees of freedom, possibly the additional gapless excitations predicted for smooth edge potentials.
ISSN:2331-8422
DOI:10.48550/arxiv.0910.2642