The renormalization group for interacting fermions: from Fermi liquids to quantum dots
Mesoscale and Nanoscale Physics
2009-11-10 v1
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.
Cite
@article{arxiv.cond-mat/0407127,
title = {The renormalization group for interacting fermions: from Fermi liquids to quantum dots},
author = {R. Shankar},
journal= {arXiv preprint arXiv:cond-mat/0407127},
year = {2009}
}
Comments
Lectures given at the Fifteenth Chris Engelbrecht Summer School South Africa, January 2004. 6 eps figs and springer style file (svmult)