Coulomb blockade at a tunnel junction between two quantum wires with long-range interaction

TL;DR

This paper analyzes the non-linear current-voltage behavior of a tunnel junction between two quantum wires with long-range interactions, revealing Coulomb blockade effects and deriving related electrical properties from electron interactions.

Contribution

It provides a theoretical calculation of Coulomb blockade features in a Luttinger system with finite-range interactions, connecting electrical parameters to electron-electron interactions.

Findings

Coulomb blockade features are observed in the I-V characteristics.

Dissipative resistance, capacitance, and impedance are derived from interactions.

Frequency dependence of impedance relates to electron excitation spectrum.

Abstract

The non-linear current-voltage characteristic of a tunnel junction between two Luttinger systems is calculated for an interaction with finite range. Coulomb blockade features are found. The dissipative resistance, the capacitance and the external impedance, which were introduced ad hoc in earlier theories, are obtained in terms of the electron-electron interaction. The frequency dependence of the impedance is given by the excitation spectrum of the electrons.