R. Pino et al., Estimating ground-state properties of quantum dot arrays using a local Thomas-Fermi-Dirac approximation, EUR PHY J B, 23(1), 2001, pp. 103-106
An exactly solvable local Thomas-Fermi-Dirac approximation is applied to th
e calculation of the ground-state density of three-dimensional quantum dot
arrays, where we give estimates to properties like total energy, chemical p
otential, and differential capacitance. Numeric examples are calculated for
pairs of quantum dots using a Gaussian confining potential. The computatio
nal complexity of the present method is linear in the number of electrons a
nd centers of the system.