Higher Landau levels contribution to the energy of interacting electrons in a quantum dot

Details Higher Landau levels contribution to the energy of interacting electrons in a quantum dot Higher Landau levels contribution to the energy of interacting electrons in a quantum dot

2005-04-29

arxiv.org/abs/cond-mat/0504786v1

Physica E 30 (2005) 134 - 139

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1016/j.physe.2005.08.009

Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near 1/2, this contribution proves to be larger than energy differences between states with different spin polarizations. After checking convergence of the method in small systems, we show results for a 12-electron quantum dot, a system which is hardly tractable by means of exact diagonalization techniques.

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