Renormalized perturbation calculations for the single impurity Anderson model
Abstract
We illustrate the renormalized perturbation expansion method by applying it to a single impurity Anderson model. Previously, we have shown that this approach gives the {\it exact} leading order results for the specific heat, spin and charge susceptibilities and leading order temperature dependence of the resistivity for this model in the Fermi-liquid regime, when carried out to second order in the renormalized interaction . Here we consider the effects of higher order quasi-particle scattering and calculate the third order contributions to the term in the impurity magnetization for the symmetric model in a weak magnetic field . The result is asymptotically exact in the weak coupling regime, and is very close to the exact Bethe ansatz result in the Kondo regime. We also calculate the quasi-particle density of states in a magnetic field, which is of interest in relation to recent experimental work on quantum dots.
Cite
@article{arxiv.cond-mat/0106600,
title = {Renormalized perturbation calculations for the single impurity Anderson model},
author = {A. C. Hewson},
journal= {arXiv preprint arXiv:cond-mat/0106600},
year = {2009}
}