The renormalization group for interacting fermions: from Fermi liquids to quantum dots

Abstract

The renormalization group approach as developed by the author for Fermi liquids is applied to clean Fermi liquids and ballistic quantum dots. In the former case Landau theory is shown to be a fixed point and in the latter the Universal Hamiltonian is shown to be a fixed point for weak coupling. The strong coupling phase is analyzed using large N and Random Matrix methods.

Lectures given at the Fifteenth Chris Engelbrecht Summer School South Africa, January 2004. 6 eps figs and springer style file (svmult)

References in corpus (5)

• Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
• Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Random Matrix Crossovers and Quantum Critical Crossovers for Interacting Electrons in Quantum Dots
• On the scaling approach to electron-electron interactions in a chaotic quantum dot