Transport Properties of an Interacting Quantum Dot with a Non-Uniform Magnetization

Abstract

We study the influence of the non-homogeneity of a magnetization field on the behaviour of interacting electrons in a quantum dot. In particular we investigate the magnetotransport properties when the dot is weakly coupled to two ferromagnetic leads. We take into account the interactions in the quantum dot non-perturbatively. For a magnetization which varies slowly on the scale of the Fermi wave length, the non-homogeneity effect is described by a gauge potential that can be treated perturbatively.