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.
- 71.10.Ca Electron gas, Fermi gas
- 85.35.Be Quantum well devices (quantum dots, quantum wires, etc.)
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics