Chaos and Interacting Electrons in Ballistic Quantum Dots

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 ma...

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Bibliographic Details
Published in:Physical review letters 1998-02, Vol.80 (5), p.895-899
Main Authors: Ullmo, Denis, Baranger, Harold U., Richter, Klaus, von Oppen, Felix, Jalabert, Rodolfo A.
Format: Article
Language:English
Subjects:
Condensed Matter
Mesoscopic Systems and Quantum Hall Effect
Physics
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.80.895