Transport of Interacting Electrons through a Pair of Coupled Metallic Quantum Dots

TL;DR

This paper derives a comprehensive formula for how electron interactions affect the current-voltage relationship in a system of two series-connected metallic quantum dots, revealing a logarithmic dependence under certain conditions.

Contribution

It provides the first complete expression for interaction corrections in coupled metallic quantum dots, highlighting the effects of asymmetry and parameter variations.

Findings

Interaction correction depends logarithmically on voltage and temperature for asymmetric dots.

Derived a complete analytical expression for the interaction correction to the I-V curve.

Applicable across a wide range of parameters for coupled metallic quantum dots.

Abstract

We derive a complete expression for the interaction correction to the $I-V$ curve of two connected in series metallic quantum dots. For strongly asymmetric dots in a wide range of parameters this interaction correction depends logarithmically on voltage and temperature.