Chaos and Interacting Electrons in Ballistic Quantum Dots

D. Ullmo 1, 2, H. U. Baranger 1, K. Richter 3, F. Von Oppen 4, R. A. Jalabert 5

Physical Review Letters 80 (1998) 895-899

We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical finite-temperature Green functions. Specifically, the orbital magnetism is greatly enhanced over the Landau susceptibility by the combined effects of interactions and finite size. The presence of families of periodic orbits in regular systems makes their susceptibility parametrically larger than that of chaotic systems, a difference which emerges from correlation terms.

  • 1. Bell Laboratories–Lucent Technologies,
    Bell Laboratories
  • 2. Division de Physique Théorique, IPN,
    Université Paris XI - Paris Sud
  • 3. Max-Planck-Institut für Physik komplexer Systeme,
    Max-Planck-Institut
  • 4. Department of Condensed Matter Physics,
    Weizmann Institute of Science
  • 5. Institut de Physique et Chimie des Matériaux de Strasbourg (IPCMS),
    CNRS : UMR7504 – Université Louis Pasteur - Strasbourg I