Abstract:
An exactly solvable local Thomas-Fermi-Dirac approximation is applied to the calculation of the ground-state density of three-dimensional quantum dot arrays, where we give estimates to properties like total energy, chemical potential, and differential capacitance. Numeric examples are calculated for pairs of quantum dots using a Gaussian confining potential. The computational complexity of the present method is linear in the number of electrons and centers of the system.
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Pino, R., Markvoort, A. & Hilbers, P. Estimating ground-state properties of quantum dot arrays using a local Thomas-Fermi-Dirac approximation. Eur. Phys. J. B 23, 103–106 (2001). https://doi.org/10.1007/s100510170087
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DOI: https://doi.org/10.1007/s100510170087