Ebook: Mesoscopic Quantum Hall Effect

In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

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In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

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In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-37
Front Matter....Pages 39-39
Equilibrium and Non-Equilibrium Bosonization....Pages 41-53
Interaction Induced Dephasing of Edge States....Pages 55-76
Noise Induced Dephasing of Edge States....Pages 77-89
Energy Relaxation at the Quantum Hall Edge....Pages 91-108
Front Matter....Pages 109-109
Classification of Effective Edge Models....Pages 111-125
Spectroscopy of Quantum Hall Edge States at Complex Filling Factors....Pages 127-141
Microscopic Theory of Fractional Quantum Hall Interferometers....Pages 143-175
Summary of Results....Pages 177-179
Back Matter....Pages 181-196

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In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-37
Front Matter....Pages 39-39
Equilibrium and Non-Equilibrium Bosonization....Pages 41-53
Interaction Induced Dephasing of Edge States....Pages 55-76
Noise Induced Dephasing of Edge States....Pages 77-89
Energy Relaxation at the Quantum Hall Edge....Pages 91-108
Front Matter....Pages 109-109
Classification of Effective Edge Models....Pages 111-125
Spectroscopy of Quantum Hall Edge States at Complex Filling Factors....Pages 127-141
Microscopic Theory of Fractional Quantum Hall Interferometers....Pages 143-175
Summary of Results....Pages 177-179
Back Matter....Pages 181-196
....