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Phys Rev Lett. 2016 Mar 25;116(12):126803. doi: 10.1103/PhysRevLett.116.126803. Epub 2016 Mar 22.

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

Physical review letters

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

Affiliations

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

PMID: 27058091 DOI: 10.1103/PhysRevLett.116.126803

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[over →]×B[over →] drift. The edge potential is estimated from the energy dependence of v using a harmonic approximation.

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