2002/04/17 by Andreas Wensauer, A. Wensauer, Marek Korkusiński +3 · 3 citations
Physics and Astronomy · #Condensed matter physics #Electron #Excited state #Ground state #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #Singlet state #Spin (aerodynamics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.67.035325
27 pages, 12 figures
arxiv created 2002/04/17 · openalex publication_date 2003/01/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A theory of electronic properties of a spin-singlet quantum Hall droplet at filling factor \ensuremathν=2 in a parabolic quantum dot is developed. The excitation spectrum and the stability of the droplet due to the transfer of electrons into the second Landau level at low magnetic fields and due to spin flip at the edge at higher magnetic fields are determined using Hartree-Fock, exact diagonalization, and spin-density functional methods. We show that above a critical number of electrons Nc the unpolarized \ensuremathν=2 quantum Hall droplet ceases to be a ground state in favor of spin-polarized phases. We determine the characteristic pattern in the addition and current-amplitude Coulomb blockade spectra associated with the stable \ensuremathν=2 droplet. We show that the spin transition of the droplet at a critical number of electrons is accompanied by the reversal of the current-amplitude modulation at the \ensuremathν=2 line, as observed in recent experiments.