Charging effects in quantum wires

TL;DR

This paper explores how charging effects influence electron transport in quantum wires, highlighting the importance of Coulomb interactions and charging energy, especially in systems with islands or double barriers.

Contribution

It provides a detailed analysis of charging effects in quantum wires, including resonance conditions for double barriers with charging, considering Coulomb interactions and Friedel oscillations.

Findings

Charging effects are significant in quantum wires with islands.

Coulomb blockade effects are absent for a single impurity.

Resonance conditions are derived for double barrier systems considering charging.

Abstract

We investigate the role of charging effects in a voltage-biased quantum wire. Both the finite range of the Coulomb interaction and the long-ranged nature of the Friedel oscillation imply a finite capacitance, leading to a charging energy. While observable Coulomb blockade effects are absent for a single impurity, they are crucial if islands are present. For a double barrier, we give the resonance condition, fully taking into account the charging of the island.