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

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

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.-S., & Kataoka, M. (2016). Phonon emission and arrival times of electrons from a single-electron source. Physical Review B, 93(3), Article ARTN 035436. 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
• 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
• Additional Information: Author's accepted manuscript of article published in: Physical review B, 2016, v.93, issue 3.
• Contract Date: Feb 10, 2016