Chaos and Interacting Electrons in Ballistic Quantum Dots

TL;DR

This paper demonstrates how classical dynamics influence quantum properties of interacting electrons in ballistic quantum dots, revealing enhanced orbital magnetism and differences between regular and chaotic systems.

Contribution

It establishes a link between classical particle dynamics and quantum electron properties using diagrammatic perturbation theory and semiclassical Green functions.

Findings

Orbital magnetism is significantly enhanced by interactions and finite size.

Regular systems with periodic orbits have larger susceptibility than chaotic systems.

Correlation terms cause differences in susceptibility based on system dynamics.

Abstract

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.