Abstract
It has been shown that the local conditions in an electrical circuit can affect a nearby, but electrically isolated circuit. Such a ‘noninvasive’ measurement technique can be used to measure the screening ability of an electron system. In this work, we use a one-dimensional (1D) channel to screen an in-plane electric field between a gate and another 1D channel. We observe resistance resonances arising from tunnelling between counter-propagating edge channels via a localised state which is formed due to the presence of the disorder potential within our 1D channels. Using the observed resistance resonance as a noninvasive probe, we are able to investigate the screening ability (compressibility) of a 1D channel in the quantum Hall regime. Our results suggest that ∼73% of the electric field can penetrate a 1D channel in the quantum Hall regime.
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