Semiclassical analysis of a two-electron quantum dot in a magnetic field: dimensional phenomena

Details Semiclassical analysis of a two-electron quantum dot in a magnetic field: dimensional phenomena Semiclassical analysis of a two-electron quantum dot in a magnetic field: dimensional phenomena

2001-11-20

arxiv.org/abs/cond-mat/0111381v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 1 figure (gif), 3 figures (eps)

Scientific paper

10.1103/PhysRevB.65.155307

While the dynamics for three-dimensional axially symmetric two-electron quantum dots with parabolic confinement potentials is in general non-separable we have found an exact separability with three quantum numbers for specific values of the magnetic field. Furthermore, it is shown that the magnetic properties such as the magnetic moment and the susceptibility are sensitive to the presence and strength of a vertical confinement. Using a semiclassical approach the calculation of the eigenvalues reduces to simple quadratures providing a transparent and almost analytical quantization of the quantum dot energy levels which differ from the exact energies only by a few percent.

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