https://doi.org/10.1007/s100510170087
Estimating ground-state properties of quantum dot arrays using a local Thomas-Fermi-Dirac approximation
Department of Mathematics and Computer Science,
Technische Universiteit Eindhoven, PO Box 513, 5600 MB Eindhoven,
The Netherlands
Corresponding author: a rpino@win.tue.nl
Received:
23
March
2001
Published online: 15 September 2001
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.
PACS: 85.35.Be – Quantum well devices (quantum dots, quantum wires, etc.) / 71.10.Ca – Electron gas, Fermi gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
