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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.

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), https://doi.org/10.1103/PhysRevB.93.035436

Journal Article Type Article
Acceptance Date Dec 14, 2015
Online Publication Date Jan 20, 2016
Publication Date Jan 20, 2016
Deposit Date Feb 10, 2016
Publicly Available Date Feb 10, 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
DOI https://doi.org/10.1103/PhysRevB.93.035436
Keywords Phonon emission, Electrons
Public URL https://hull-repository.worktribe.com/output/385247
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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