Time-of-Flight measurements of Single-Electron wave packets in quantum hall edge states

Kataoka, M.; Johnson, N.; Emary, C.; See, P.; Griffiths, J.P.; Jones, G.?A.C.; Farrer, I.; Ritchie, D.A.; Pepper, M.; Janssen, T.?J.B.M.

Abstract

We report time-of-flight measurements on electrons traveling in quantum Hall edge states. Hot-electron wave packets are emitted one per cycle into edge states formed along a depleted sample boundary. The electron arrival time is detected by driving a detector barrier with a square wave that acts as a shutter. By adding an extra path using a deflection barrier, we measure a delay in the arrival time, from which the edge-state velocity v is deduced. We find that v follows 1/B dependence, in good agreement with the →E×→B drift. The edge potential is estimated from the energy dependence of v using a harmonic approximation.

Citation

Kataoka, M., Johnson, N., Emary, C., See, P., Griffiths, J., Jones, G., …Janssen, T. (2016). Time-of-Flight measurements of Single-Electron wave packets in quantum hall edge states. Physical review letters, 116(12), Article 126803. https://doi.org/10.1103/PhysRevLett.116.126803

• Journal Article Type: Article
• Acceptance Date: Feb 22, 2016
• Online Publication Date: Mar 22, 2016
• Publication Date: Mar 22, 2016
• Deposit Date: Jun 28, 2018
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 116
• Issue: 12
• Article Number: 126803
• DOI: https://doi.org/10.1103/PhysRevLett.116.126803
• Public URL: https://hull-repository.worktribe.com/output/898391
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.126803