Titlebook: Quantum Dynamics of Submicron Structures; Hilda A. Cerdeira,Bernhard Kramer,Gerd Sch?n Book 1995 Springer Science+Business Media Dordrecht

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Equilibrium and Non-Equilibrium Current in the Quantum Hall Regimelimit. The effect of randomness on the magnetization due to the equilibrium current is discussed. By changing the magnetic flux through the cylinder, the electric field is induced to cause the non-equilibrium current, which shows the typical oscillation even after the electric field is switched off.

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Scattering on an Impurity in a Weakly Interacting 1D Electron Gas us to calculate the renormalized transmission amplitudes at any energy. Simple formulas that describe the conductance of a weakly interacting 1D gas in the presence of a single impurity, which are valid at any temperature are derived. We then apply our technique to the problem of the non-linearitie