Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum Hall Edge States
Kataoka, M ; Johnson, N ; Emary, C ; See, P ; Griffiths, JP ; Jones, GAC ; Farrer, I ; Ritchie, David ; Pepper, M ; Janssen, TJBM
Kataoka, M
Johnson, N
Emary, C
See, P
Griffiths, JP
Jones, GAC
Farrer, I
Pepper, M
Janssen, TJBM
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Abstract
Description
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.
Date
22/03/16
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Publisher
American Physical Society