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29 March 2024
 
  » arxiv » 1505.3444

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Observation of geometry-dependent conductivity in two-dimensional electron gases
Dirk Backes ; Richard Hall ; Michael Pepper ; Harvey Beere ; David Ritchie ; Vijay Narayan ;
Date 13 May 2015
AbstractWe report electrical conductivity $sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_s$) we find the behaviour to be consistent with $sigma sim L^{alpha}$, where $L$ is the length of the 2DEG along the direction of transport. Importantly, this scale-dependent behaviour is seen to persist even when $sigma << e^2/h$, when the 2DEG is expected to be strongly localized. This geometry-dependence is seen to disappear as $T$ and/or $n_s$ is increased, which is suggestive of an ’insulator-to-metal’ transition. We analyze our results in light of the scaling hypothesis of localization and conclude, remarkably, that the reduction in $sigma$ is consistent with weak localization. Within this framework, we offer an explanation for the anomalous ’metallic’ character of ultra low-$sigma$ mesoscopic 2DEGs first observed by Baenninger et al. [Phys. Rev. Lett. 100, 016805 (2008)].
Source arXiv, 1505.3444
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