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Phonon emission and arrival times of electrons from a single-electron source

Emary, C.; Dyson, A.; Ryu, Sungguen; Sim, H-S.; Kataoka, M.

Authors

C. Emary

A. Dyson

Sungguen Ryu

H-S. Sim

M. Kataoka

Abstract

In recent charge-pump experiments, single electrons are injected into quantum Hall edge channels at energies significantly above the Fermi level. We consider here the relaxation of these hot edge-channel electrons through longitudinal-optical-phonon emission. Our results show that the probability for an electron in the outermost edge channel to emit one or more phonons en route to a detector some microns distant along the edge channel suffers a double-exponential suppression with increasing magnetic field. This explains recent experimental observations. We also describe how the shape of the arrival-time distribution of electrons at the detector reflects the velocities of the electronic states post phonon emission. We show how this can give rise to pronounced oscillations in the arrival-time-distribution width as a function of magnetic field or electron energy.

Journal Article Type Article
Publication Date Jan 20, 2016
Journal Physical review B
Print ISSN 2469-9950
Electronic ISSN 2469-9969
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 93
Issue 3
Article Number ARTN 035436
Institution Citation Emary, C., Dyson, A., Ryu, S., Sim, H., & Kataoka, M. (2016). Phonon emission and arrival times of electrons from a single-electron source. Physical Review B, 93(3), doi:10.1103/PhysRevB.93.035436
DOI https://doi.org/10.1103/PhysRevB.93.035436
Keywords Phonon emission, Electrons
Publisher URL http://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.035436
Copyright Statement ©2016 University of Hull
Additional Information Author's accepted manuscript of article published in: Physical review B, 2016, v.93, issue 3.

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