Transport through quantum dots in mesoscopic circuits

TL;DR

This paper investigates how finite size effects in mesoscopic circuits influence quantum dot conductance, providing insights into measuring the Kondo cloud through numerical renormalization group analysis.

Contribution

It introduces a detailed analysis of finite size effects on quantum dot transport in mesoscopic circuits, highlighting the sensitivity to the Kondo screening length.

Findings

Conductance depends on the ratio of Kondo screening length to wire length.

Finite size effects can be used to measure the Kondo cloud.

Numerical renormalization group results cover a wide parameter range.

Abstract

We study the transport through a quantum dot, in the Kondo Coulomb blockade valley, embedded in a mesoscopic device with finite wires. The quantization of states in the circuit that hosts the quantum dot gives rise to finite size effects. These effects make the conductance sensitive to the ratio of the Kondo screening length to the wires length and provide a way of measuring the Kondo cloud. We present results obtained with the numerical renormalization group for a wide range of physically accessible parameters.