Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling

dc.creatorWeiss, Stephan
dc.creatorEgger, R.
dc.date2005-08-16
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:41:35Z
dc.date.available2026-07-07T06:41:35Z
dc.descriptionWe develop path-integral Monte Carlo simulations for a parabolic two-dimensional (2D) quantum dot containing $N$ 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 $N<10$ electrons, we present data for the addition energy, the particle density, and the total spin $S$ 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.
dc.description9 pages, 6 figures, 1 table, few minor changes, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0508375
dc.identifierhttp://arxiv.org/abs/cond-mat/0508375
dc.identifierPhys. Rev. B 72, 245301 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.245301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101718
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titlePath-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling
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