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

TL;DR

This paper investigates how non-uniform magnetization affects electron transport in an interacting quantum dot coupled to ferromagnetic leads, revealing the role of gauge potentials in such systems.

Contribution

It introduces a non-perturbative analysis of electron interactions in quantum dots with non-uniform magnetization, incorporating gauge potentials for slowly varying magnetization.

Findings

Non-homogeneous magnetization influences magnetotransport properties.

Gauge potentials effectively describe the effects of slowly varying magnetization.

Interactions are treated non-perturbatively in the analysis.

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.