Non-linear current through a barrier in 1D wires with finite-range interactions

TL;DR

This paper studies how finite-range interactions affect the non-linear current through a barrier in 1D wires, revealing deviations from traditional power law behavior and identifying how high-energy effects suppress Coulomb blockade.

Contribution

It generalizes the Luttinger model to include finite-range interactions, showing their impact on transport properties and crossover behaviors in 1D wires.

Findings

Deviations from Kane and Fisher's power law due to finite-range interactions.

High-energy suppression of Coulomb blockade.

Crossover behavior as a measure of interaction range.

Abstract

The transport properties of a tunnel barrier in a one-dimensional wire are investigated at finite voltages and temperatures. We generalize the Luttinger model to account for finite ranges of the interaction. This leads to deviations from the power law behaviour first derived by Kane and Fisher. At high energies the influence of the interaction disappears and the Coulomb blockade is suppressed. The crossover in the voltage or in the temperature dependence can provide a direct measure for the range of the interaction.