Oscillatory Tunneling between Quantum Hall Systems

Details Oscillatory Tunneling between Quantum Hall Systems Oscillatory Tunneling between Quantum Hall Systems

1994-03-16

arxiv.org/abs/cond-mat/9403064v1

Physics

Condensed Matter

20 pages, OSU

Scientific paper

10.1103/PhysRevB.50.4524

Electron tunneling between quantum Hall systems on the same two dimensional plane separated by a narrow barrier is studied. We show that in the limit where inelastic scattering time is much longer than the tunneling time, which can be achieved in practice, electrons can tunnel back and forth through the barrier continously, leading to an oscillating current in the absence of external drives. The oscillatory behavior is dictated by a tunneling gap in the energy spectrum. We shall discuss ways to generate oscillating currents and the phenomenon of natural ``dephasing" between the tunneling currents of edge states. The noise spectra of these junctions are also studied. They contain singularites reflecting the existence of tunneling gaps as well as the inherent oscillation in the system. (Figures will be given upon requests).

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