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

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Introduction, in strong magnetic fields, has several exciting features such as the precise quantization of the Hall conductance, excitations with fractional charge and fractional statistics, etc. The low energy physics of the quantum Hall effect is determined by edge excitations, because there exists a gap for e

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BOLUS

Interaction Induced Dephasing of Edge Statesng to our model, dephasing in the interferometer originates from strong Coulomb interaction at the edge of two-dimensional electron gas. The long-range character of the interaction leads to a separation of the spectrum of edge excitations on slow and fast mode. These modes are excited by electron tu

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Energy Relaxation at the Quantum Hall Edgereported that the energy of electrons injected into one of the two chiral edge channels with the help of a quantum point contact is equally distributed between them, in agreement with earlier predictions, one being based on the Fermi gas approach, and the other utilizing the Luttinger liquid theory.

BOLUS

Classification of Effective Edge Modelsts. We think that the presence of edge modes with different velocities may be also important in the case of fractional filling factors. In order to investigate this question, we use the effective theory approach. We note that minimal physical requirements that an effective model of a quantum Hall ed

盘旋

Spectroscopy of Quantum Hall Edge States at Complex Filling Factorscation with the example of a quantum Hall fluid at filling factor 2/3. We show that, in this example, it is impossible to describe the edge states with only one chiral channel and that there are several inequivalent models of the edge states with two fields. We focus our attention on the four simple

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Microscopic Theory of Fractional Quantum Hall Interferometersver, according to the Byers-Yang theorem, observables of an electronic system are invariant under an adiabatic insertion of a quantum of singular flux. We resolve this seeming paradox by considering a microscopic model of electronic interferometers made from a quantum Hall liquid at filling factor 1

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Summary of Resultstates, which are the only gapless excitations. We have investigated such mesoscopic effects as interaction induced dephasing of edge states, noise induced dephasing, and equilibration along the quantum Hall edge channels. This investigation allowed us to explain several experiments, to make some exp