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Non-coherent transport in serial/parallel quantum dots in self-consistent field regime

In this paper we introduce a simple phenomenological model of the conduction between a couple of serial or parallel quantum dots. This model is extended to arbitrary of number and to a square array of quantum dots. The local potential is computed taking into account the net charge at the quantum dot. Master equation are presented for total current and charge number N taking considering both the local potential and the local current. Interesting results are reported, namely the Negative Differential Resistance for serial quantum dots as well as resonant conductance. A paradoxical asymmetric current appears for the parallel case due to the capacitive coupling.

preprint2011arXivOpen access

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