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Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum Hall Edge States
M Kataoka1, N Johnson1,2, C Emary3
1National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom.
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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