Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling
arXiv:cond-mat/0508375 · doi:10.1103/PhysRevB.72.245301
Abstract
We develop path-integral Monte Carlo simulations for a parabolic two-dimensional (2D) quantum dot containing interacting electrons in the presence of Dresselhaus and/or Rashba spin-orbit couplings. Our method solves in a natural way the spin contamination problem and allows for numerically exact finite-temperature results at weak spin-orbit coupling. For electrons, we present data for the addition energy, the particle density, and the total spin in the Wigner molecule regime of strong Coulomb interactions. We identify magic numbers at N=3 and N=7 via a peak in the addition energy. These magic numbers differ both from weak-interaction and classical predictions, and are stable with respect to (weak) spin-orbit couplings.
9 pages, 6 figures, 1 table, few minor changes, published version
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