Quantum dot ground state energies and spin polarizations: soft versus hard chaos

Denis Ullmo 1, 2, Tatsuro Nagano 3, Steven Tomsovic 3

Physical Review Letters 90 (2003) 176801

We consider how the nature of the dynamics affects ground state properties of ballistic quantum dots. We find that ``mesoscopic Stoner fluctuations'', that arise from the residual screened Coulomb interaction, are very sensitive to the degree of chaos. It leads to ground state energies and spin-polarizations whose fluctuations strongly increase as a system becomes less chaotic. The crucial features are illustrated with a model that depends on a parameter that tunes the dynamics from nearly integrable to mostly chaotic.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Duke Physics,
    Duke University
  • 3. Department of Physics,
    Washington State University