Correlation effects on electronic transport through dots and wires

TL;DR

This paper explores how two-particle interactions influence electronic transport in quantum dots and wires, revealing complex correlation effects including Luttinger liquid behavior and the Kondo effect using a functional renormalization group approach.

Contribution

It introduces a versatile functional renormalization group method capable of analyzing complex geometries in mesoscopic systems, capturing both local and extended correlation phenomena.

Findings

Method captures Luttinger liquid physics in wires

Reveals Kondo effect in quantum dots

Discovers new correlation effects in complex systems

Abstract

We investigate how two-particle interactions affect the electronic transport through meso- and nanoscopic systems of two different types: quantum dots with local Coulomb correlations and quasi one-dimensional quantum wires of interacting electrons. A recently developed functional renormalization group scheme is used that allows to investigate systems of complex geometry. Considering simple setups we show that the method includes the essential aspects of Luttinger liquid physics (one-dimensional wires) as well as of the physics of local correlations, with the Kondo effect being an important example. For more complex systems of coupled dots and Y-junctions of interacting wires we find surprising new correlation effects.