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- W1978712594 abstract "Low-field magnetoresistance measurements are made on the two-dimensional (2D) electron gas in $mathrm{GaAs}/{mathrm{Al}}_{x}{mathrm{Ga}}_{1ensuremath{-}x}mathrm{As}$ heterostructures to study the size effects on weak localization and the phase-breaking rate ($frac{1}{{ensuremath{tau}}_{ensuremath{varphi}}}$) as a function of sample width ($W$) and potential probe spacing ($L$). When $L$ and $W$ are larger than $ensuremath{pi}{l}_{ensuremath{varphi}}$ and $ensuremath{pi}{L}_{T}$, where ${l}_{ensuremath{varphi}}$ is the phase-breaking length and ${L}_{T}$ is the thermal diffusion length, $frac{1}{{ensuremath{tau}}_{ensuremath{varphi}}}$, deduced from experiment using the 2D localization theory, has some agreement with the theoretical 2D phase-breaking rate due to electromagnetic fluctuations and disagrees with the energy relaxation rate. When $W<ensuremath{pi}{l}_{ensuremath{varphi}}$ and $ensuremath{pi}{L}_{T}$, both the localization effect and the determined $frac{1}{{ensuremath{tau}}_{ensuremath{varphi}}}$ are one dimensional. When $L$ is small and comparable to ${l}_{ensuremath{varphi}}$ a new dimensional crossover for localization is observed. In such small samples, we also observe the predicted conductance fluctuations of order $frac{{e}^{2}}{h}$." @default.
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- W1978712594 title "Dephasing time and one-dimensional localization of two-dimensional electrons in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=normal>GaAs</mml:mi><mml:mo>/</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Al</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Ga</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi…" @default.
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- W1978712594 doi "https://doi.org/10.1103/physrevb.36.7751" @default.
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