Estimating ground-state properties of quantum dot arrays using a local Thomas-Fermi-Dirac approximation

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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.
Original languageEnglish
Pages (from-to)103-106
JournalEuropean Physical Journal B : Condensed Matter and Complex Systems
Volume23
Issue number1
DOIs
Publication statusPublished - 2001

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