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Energy relaxation in hot electron quantum optics via acoustic and optical phonon emission

Lookup NU author(s): Dr Clive Emary, Dr Lewis Clark



This is the final published version of an article that has been published in its final definitive form by American Physical Society, 2019.

For re-use rights please refer to the publisher's terms and conditions.


© 2019 American Physical Society. We study theoretically the relaxation of hot quantum-Hall edge-channel electrons under the emission of both acoustic and optical phonons. Aiming to model recent experiments with single-electron sources, we describe simulations that provide the distribution of electron energies and arrival times at a detector a fixed distance from the source. From these simulations we extract an effective rate of emission of optical phonons that contains contributions from both a direct emission process as well as one involving inter-edge-channel transitions that are driven by the sequential emission of first an acoustic and then an optical phonon. Furthermore, we consider the mean energy loss due to acoustic phonon emission and resultant broadening of the electron energy distribution and derive an effective drift-diffusion model for this process.

Publication metadata

Author(s): Emary C, Clark LA, Kataoka M, Johnson N

Publication type: Article

Publication status: Published

Journal: Physical Review B

Year: 2019

Volume: 99

Issue: 4

Online publication date: 22/01/2019

Acceptance date: 18/10/2018

Date deposited: 05/03/2019

ISSN (print): 2469-9950

ISSN (electronic): 2469-9969

Publisher: American Physical Society


DOI: 10.1103/PhysRevB.99.045306


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