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- W2282135983 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 ($n_{mathrm{s}}$) 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, such scale-dependent behaviour is precisely in accord with the scaling hypothesis of localization [Abrahams et al., Phys. Rev. Lett. 42, 673 (1979)] which dictates that in systems where the electronic wavefunction $xi$ is localized, $sigma$ is not a material-specific parameter, but depends on the system dimensions. From our data we are able to construct the `$beta$-function' $equiv (h/e^2) d ln sigma / d ln L$ and show this to be strongly consistent with theoretically predicted limiting values. These results suggest, remarkably, that the electrons in the studied 2DEGs preserve phase coherence over lengths $sim~10~mu$m. Our experiments provide a clear experimental test of the scaling hypothesis of localization and also suggest the utility of the 2DEGs studied towards applications in quantum information." @default.
- W2282135983 created "2016-06-24" @default.
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- W2282135983 date "2015-05-13" @default.
- W2282135983 modified "2023-09-27" @default.
- W2282135983 title "Experimental validation of the scaling hypothesis of localization" @default.
- W2282135983 hasPublicationYear "2015" @default.
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