Auger-spectroscopy in quantum Hall edge channels and the missing energy problem
T. Krähenmann (ETH Zürich, Kavli institute of nanoscience Delft, TU Delft - QuTech Advanced Research Centre, TU Delft - QCD/Vandersypen Lab)
S. G. Fischer (Weizmann Institute of Science, Ben-Gurion University of the Negev)
M. Röösli (ETH Zürich)
T. Ihn (ETH Zürich)
C. Reichl (ETH Zürich)
W. Wegscheider (ETH Zürich)
K. Ensslin (ETH Zürich)
Y. Gefen (Weizmann Institute of Science)
Yigal Meir (Ben-Gurion University of the Negev)
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Abstract
Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension. Such channels are a prospective tool for the efficient transfer of quantum information at the nanoscale, and play a vital role in exposing intriguing physics. Electric current along the edge carries energy and heat leading to inelastic scattering, which may impede coherent transport. Several experiments attempting to probe the concomitant energy redistribution along the edge reported energy loss via unknown mechanisms of inelastic scattering. Here we employ quantum dots to inject and extract electrons at specific energies, to spectrally analyse inelastic scattering inside quantum Hall edge channels. We show that the missing energy puzzle could be untangled by incorporating non-local Auger-like processes, in which energy is redistributed between spatially separate parts of the sample. Our theoretical analysis, accounting for the experimental results, challenges common-wisdom analyses which ignore such non-local decay channels.
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