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

Lookup NU author(s): Dr Clive Emary



This is the final published version of an article that has been published in its final definitive form by American Physical Society, 2016.

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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.

Publication metadata

Author(s): Emary C, Dyson A, Ryu S, Sim HS, Kataoka M

Publication type: Article

Publication status: Published

Journal: Physical Review B

Year: 2016

Volume: 93

Issue: 3

Print publication date: 15/01/2016

Online publication date: 20/01/2016

Acceptance date: 15/12/2015

Date deposited: 05/02/2016

ISSN (print): 2469-9950

ISSN (electronic): 2469-9969

Publisher: American Physical Society


DOI: 10.1103/PhysRevB.93.035436


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Funder referenceFunder name
NPL's Strategic Research Programme
UK Department for Business, Innovation and Skills
2013R1A2A2A01007327Korea NRF
N00014-15-1-2193Office of Naval Research