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In this paper we introduce a simple phenomenological model of the conductionbetween a couple of serial or parallel quantum dots. This model is extended toarbitrary of number and to a square array of quantum dots. The local potentialis computed taking into account the net charge at the quantum dot. Masterequation are presented for total current and charge number N taking consideringboth the local potential and the local current. Interesting results arereported, namely the Negative Differential Resistance for serial quantum dotsas well as resonant conductance. A paradoxical asymmetric current appears forthe parallel case due to the capacitive coupling.

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