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.
Highlights
Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension
In a first experiment[8] addressing the equilibration of two edge channels in the integer quantum Hall regime, a non-equilibrium distribution has been injected into the outermost channel via a quantum point contact
The insight that such Auger-like recombination processes cause the unexpected currents is underpinned by additional measurements with a Sensor quantum dot (QD) that solely detects currents generated by such processes, and through a theoretical analysis employing non-equilibrium perturbation theory
Summary
Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension. The apparent contradiction can only be resolved by considering processes in which recombination energy is transferred from the Source contact to the edge channel probed by the Detector QD.
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