{ "id": "cond-mat/0508375", "version": "v2", "published": "2005-08-16T14:47:44.000Z", "updated": "2005-12-02T08:32:06.000Z", "title": "Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling", "authors": [ "Stephan Weiss", "R. Egger" ], "comment": "9 pages, 6 figures, 1 table, few minor changes, published version", "journal": "Phys. Rev. B 72, 245301 (2005)", "doi": "10.1103/PhysRevB.72.245301", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We 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.", "revisions": [ { "version": "v2", "updated": "2005-12-02T08:32:06.000Z" } ], "analyses": { "keywords": [ "path-integral monte carlo simulations", "interacting few-electron quantum dots", "spin-orbit coupling", "addition energy", "magic numbers" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }