Semiclassical Approach to Orbital Magnetism of Interacting Diffusive Quantum Systems

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

Physica E: Low-dimensional Systems and Nanostructures 1 (1997) 238-273

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble averaged quantum thermodynamic potential can be reduced to an essentially classical operator. We compute the magnetic response of disordered rings and dots for diffusive classical dynamics. Our semiclassical approach reproduces the results of previous diagrammatic quantum calculations.

  • 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