Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum Hall Edge States

M. Kataoka, N. Johnson, C. Emary, P. See, J. P. Griffiths, G. A. C. Jones, I. Farrer, D. A. Ritchie, M. Pepper, and T. J. B. M. Janssen
Phys. Rev. Lett. 116, 126803 – Published 22 March 2016
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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.

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  • Received 9 December 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.126803

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Kataoka1,*, N. Johnson1,2, C. Emary3,‡, P. See1, J. P. Griffiths4, G. A. C. Jones4, I. Farrer4,†, D. A. Ritchie4, M. Pepper2, and T. J. B. M. Janssen1

  • 1National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom
  • 2London Centre for Nanotechnology, and Department of Electronic and Electrical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom
  • 3Department of Physics and Mathematics, University of Hull, Kingston-upon-Hull HU6 7RX, United Kingdom
  • 4Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

  • *masaya.kataoka@npl.co.uk
  • Present address: Department of Electronic and Electrical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, United Kingdom.
  • Present address: Joint Quantum Centre Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom.

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Issue

Vol. 116, Iss. 12 — 25 March 2016

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