Abstract
The equilibrium properties of coupled quantum-dot structures are studied in the semi-classical two-dimensional Thomas-Fermi approximation. We show that the simple analytical procedure for the solution of the relevant Thomas-Fermi equation based on the well known parabolic ansatz reproduces accurately the results of the self-consistent numerical solution of this equation. In this way we calculate the electronic configurations inherent in such structures both numerically and analytically. In particular, we demonstrate the possibility of electrostatic tuning of the many-electron dot until it is completely erased due to the interaction with the neighbouring dot. We use our analytical results also for calculations of the charging energy and tunnelling integral, i.e. the parameters which are relevant for nanodevices containing arrays of quantum-dot cells.
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