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- W2185986450 abstract "Disorder plays an important role in almost all aspects of solid state physics. However, due to the complexity in the nature of disorder, it is usually hard to experimentally study its effect in a controllable way. We present in this thesis the first systematic study on disorder-related physics in two-dimensional electron systems (2DES). Our samples are modulation doped AlxGa1−xAs−Al0.3Ga0.7As heterostructures with a broad range of Al impurity concentration x. We have shown that the alloy potential fluctuation in these systems has a range of atomic dimension and amplitude of 1.13eV. The relative weight of short-range alloy disorder increases in samples with larger x. With the 2DES samples of controlled alloy disorder, we have investigated the quantum Hall plateau-to-plateau transition in the integer quantum Hall regime. We have unambiguously verified that the plateau-to-plateau transition is a universal quantum phase transition, and built up a framework to understand the role that disorder plays in this transition. When the disorder in the system is dominated by short-range alloy potential fluctuations, we have found a perfect power-law temperature scaling dRxy dB |B=Bc ∝ T−κ with a universal exponent κ = 0.42 over two full decades of temperature. The inelastic scattering exponent p is identified to be 2 by an experiment on samples of various sizes. The localization length exponent ν = 2.4 is therefore verified by the experimentally measured values of κ and p. In systems with disorder being dominated by long-range Coulomb potential fluctuations, a semi-classical exponent κ = 0.58 is observed at high temperatures. Below a" @default.
- W2185986450 created "2016-06-24" @default.
- W2185986450 creator A5063616540 @default.
- W2185986450 date "2007-01-01" @default.
- W2185986450 modified "2023-09-26" @default.
- W2185986450 title "Transport study on two-dimensional electrons with controlled short-range alloy disorder" @default.
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