Abstract

We have developed a quantum noise approach for studying quantum transport through nanostructures. The nanostructures, such as quantum dots, are regarded as artificial atoms, subject to quasi-equilibrium fermionic reservoirs of electrons in biased leads. Noise operators characterizing the quantum fluctuation in the reservoirs are related to the damping and fluctuation of the artificial atoms through the quantum Langevin equation. The average current and current noise are derived in terms of the reservoir noise correlations. In the white-noise limit, we show that the current and current noise can be calculated exactly by the quantum noise approach, even in the presence of interactions such as Coulomb blockade. As a typical application, the average current and current noise through a single quantum dot are studied.

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