Chaos and Interacting Electrons in Ballistic Quantum Dots
arXiv:cond-mat/9708092 · doi:10.1103/PhysRevLett.80.895
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.
4 pages, revtex, includes 3 postscript figs
Cited by in corpus (18)
- Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
- Many-Body Physics and Quantum Chaos
- Semiclassical roots of universality in many-body quantum chaos
- Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry
- Mesoscopic persistent currents in a strong magnetic field
- Orbital magnetism in ensembles of gold nanoparticles
- Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots
- Semiclassical Trace Formulas for Two Identical Particles
- Orbital Magnetism of Graphene Nanostructures: Bulk and Confinement Effects
- Short-range interactions in a two-electron system: energy levels and magnetic properties
- Statistics of Wave Functions in Disordered Systems with Applications to Coulomb Blockade Peak Spacing
- Orbital magnetic properties of quantum dots: the role of electron-electron interactions
- Interaction-Induced Magnetization of the Two-Dimensional Electron Gas
- Orbital Magnetism in Ensembles of Parabolic Potentials
- The magnetic susceptibility of disordered non-diffusive mesoscopic systems
- Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots
- From clean to diffusive mesoscopic systems: A semiclassical approach to the magnetic susceptibility
- Pauli principle and chaos in a magnetized disk