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Titlebook: Mesoscopic Quantum Hall Effect; Ivan Levkivskyi Book 2012 Springer-Verlag Berlin Heidelberg 2012 Aharonov-Bohm Effect.Anyonic Statistics.B

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發(fā)表于 2025-3-21 19:12:41 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mesoscopic Quantum Hall Effect
編輯Ivan Levkivskyi
視頻videohttp://file.papertrans.cn/632/631061/631061.mp4
概述Important work for advancing solid state implementations of quantum algorithms.Cuts to the heart of our understanding of quantum interference phenomena.Endorsed by MIT expert as a "landmark achievemen
叢書名稱Springer Theses
圖書封面Titlebook: Mesoscopic Quantum Hall Effect;  Ivan Levkivskyi Book 2012 Springer-Verlag Berlin Heidelberg 2012 Aharonov-Bohm Effect.Anyonic Statistics.B
描述.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..
出版日期Book 2012
關(guān)鍵詞Aharonov-Bohm Effect; Anyonic Statistics; Bosonization Approach; Chern-Simons Theory; Dephasing Length; E
版次1
doihttps://doi.org/10.1007/978-3-642-30499-6
isbn_softcover978-3-642-43663-5
isbn_ebook978-3-642-30499-6Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer-Verlag Berlin Heidelberg 2012
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沙發(fā)
發(fā)表于 2025-3-21 20:13:32 | 只看該作者
Equilibrium and Non-Equilibrium Bosonizationization approach. Then we compute the equilibrium correlation functions of interacting fermions in the framework of this approach. Finally, we generalize the bosonization technique to the non-equilibrium situation and introduce a new method—the non-equilibrium bosonization, which will be used in several chapters of this thesis.
板凳
發(fā)表于 2025-3-22 01:46:52 | 只看該作者
Interaction Induced Dephasing of Edge Statesty and the period of its oscillations as a function of voltage bias. Moreover, the variation of the lobe structure from one experiment to another is explained by specific charging effects, which are different in all experiments.
地板
發(fā)表于 2025-3-22 08:28:39 | 只看該作者
Introduction, and fractional statistics, etc. The low energy physics of the quantum Hall effect is determined by edge excitations, because there exists a gap for excitations in the bulk of the two-dimensional gas. In this chapter we make a review of the quantum Hall physics and focus on the edge states.
5#
發(fā)表于 2025-3-22 12:23:21 | 只看該作者
Noise Induced Dephasing of Edge Statese large-bias regime, high-order cumulants of current add up to cancel the dilution effect of a quantum point contact. This leads to an abrupt change in the dependence of the visibility on voltage bias which occurs at the transparency T=1/2 of quantum point contact. Quantum fluctuations in the vicinity of this point smear out the sharp transition.
6#
發(fā)表于 2025-3-22 13:04:46 | 只看該作者
Summary of Resultsuced dephasing, and equilibration along the quantum Hall edge channels. This investigation allowed us to explain several experiments, to make some experimental proposals and to resolve certain theoretical problems as summarized below.
7#
發(fā)表于 2025-3-22 20:11:05 | 只看該作者
2190-5053 e phenomena.Endorsed by MIT expert as a "landmark achievemen.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 focu
8#
發(fā)表于 2025-3-23 00:53:59 | 只看該作者
Energy Relaxation at the Quantum Hall Edgeitial “double-step” distribution evolves through several intermediate asymptotics, before reaching eventual equilibrium state. We suggest that the missing energy paradox may be explained by the nonlinear dispersion of the spectrum of edge states.
9#
發(fā)表于 2025-3-23 01:34:48 | 只看該作者
10#
發(fā)表于 2025-3-23 06:39:55 | 只看該作者
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