Energy Spectra of Few-Electron Quantum Dots
arXiv:cond-mat/9711079 · doi:10.1088/0953-8984/10/3/013
Abstract
We present the renormalized perturbation series for the energy spectrum of the parabolic quantum dot with 2 -- 5 electrons considering ground and the lowest excited states. The proper classification of asymptotic energy levels is performed and behaviour of energy levels from quantum to semiclassical regime is traced. Comparison between the present results and those of exact numerical Hamiltonian diagonalization shows a fair accuracy of the proposed method over the whole range of the electron-electron coupling constant and magnetic field values. The obtained results indicate that increasing of the number of electrons in a dot leads to more classic behaviour of the system.
16 pages, 8 ps figures, uses iop* style files, accepted for publication in Journal of Physics Condensed Matter
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