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arXiv · 1510.06922

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

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

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C. Emary, A. Dyson, Sungguen Ryu, H. -S. Sim, M. Kataoka. 2015-10-23. Phonon emission and arrival times of electrons from a single-electron source. https://doi.org/10.1103/physrevb.93.035436

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