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Auger-spectroscopy in quantum Hall edge channels and the missing energy problem.

T Krähenmann1,2, S G Fischer3,4, M Röösli5

  • 1Solid State Physics Laboratory, ETH Zürich, CH-8093, Zürich, Switzerland. tobiaskr@phys.ethz.ch.

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|September 4, 2019
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Summary

Quantum Hall edge channels exhibit energy loss due to inelastic scattering. This study reveals non-local Auger-like processes as the cause, challenging previous assumptions about energy redistribution in quantum transport.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Transport Phenomena
  • Nanoscale Science

Background:

  • Quantum Hall edge channels are crucial for 1D quantum transport and quantum information transfer.
  • Inelastic scattering in these channels leads to energy loss, hindering coherent transport.
  • Previous experiments observed unexplained energy loss during quantum transport studies.

Purpose of the Study:

  • To spectrally analyze inelastic scattering within quantum Hall edge channels.
  • To identify the mechanisms responsible for energy loss in quantum transport.
  • To challenge conventional analyses of energy redistribution in quantum systems.

Main Methods:

  • Utilizing quantum dots for controlled injection and extraction of electrons at specific energies.
  • Spectroscopic analysis of inelastic scattering events.
  • Theoretical modeling incorporating non-local processes.

Main Results:

  • Demonstrated that non-local Auger-like processes explain the observed energy loss.
  • Showed energy redistribution between spatially separated sample regions.
  • Provided a theoretical framework consistent with experimental findings.

Conclusions:

  • The "missing energy" puzzle in quantum Hall edge channels is resolved by non-local Auger-like processes.
  • These non-local decay channels are critical for understanding energy redistribution.
  • Current theoretical models need revision to include these non-local effects for accurate quantum transport analysis.