Phonon emission and arrival times of electrons from a single-electron source
Emary, C.; Dyson, A.; Ryu, Sungguen; Sim, H-S.; Kataoka, M.
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|
|Publisher||American Physical Society|
|Peer Reviewed||Peer Reviewed|
|Article Number||ARTN 035436|
|APA6 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|
|Keywords||Phonon emission, Electrons|
|Copyright Statement||©2016 University of Hull|
|Additional Information||Author's accepted manuscript of article published in: Physical review B, 2016, v.93, issue 3.|
©2016 University of Hull