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

R. Pino; Albert. J. Markvoort; P.A.J. Hilbers

doi:10.1007/s100510170087

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

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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.

Originele taal-2	Engels
Pagina's (van-tot)	103-106
Tijdschrift	European Physical Journal B
Volume	23
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1007/s100510170087
Status	Gepubliceerd - 2001

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10.1007/s100510170087

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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.",

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

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