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Phys. Rev. Lett. 80, 895–899 (1998)

Chaos and Interacting Electrons in Ballistic Quantum Dots

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Denis Ullmo1,2, Harold U. Baranger1, Klaus Richter3, Felix von Oppen4, and Rodolfo A. Jalabert5
1Bell Laboratories–Lucent Technologies, 700 Mountain Avenue, Murray Hill, New Jersey 07974-0636
2Division de Physique Théorique, Institut de Physique Nucléaire, 91406 Orsay Cedex, France
3Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
4Department of Condensed Matter Physics, Weizmann Institute of Science, 76100 Rehovot, Israel
5Université Louis Pasteur, IPCMS-GEMME, 23 rue du Loess, 67037 Strasbourg Cedex, France

Received 13 August 1997; published in the issue dated 2 February 1998

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 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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.895
DOI:
10.1103/PhysRevLett.80.895
PACS:
05.45.+b, 03.65.Sq, 05.30.Fk, 73.20.Dx