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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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