Tunneling between two Luttinger liquids with long range interaction

TL;DR

This paper investigates charge transfer and tunneling phenomena between two Luttinger liquids with finite-range interactions, revealing Coulomb blockade features and a novel current enhancement due to inter-system interactions.

Contribution

It introduces a detailed analysis of tunneling between Luttinger liquids considering long-range interactions, highlighting new effects like interaction-induced current enhancement.

Findings

Coulomb blockade features appear when inter-system interaction is zero.

A novel current enhancement occurs for positive inter-system interaction.

Charging energy vanishes when intra- and inter-system interactions are equal.

Abstract

The non linear charge transfer through a tunnel junction between two Luttinger systems is studied for repulsive, finite range interaction between electrons on the same, V_{11}, and on different,V_{12}, sides of the junction. Features of the Coulomb blockade effect are observed if V_{12}=0. We predict a novel interaction induced enhancement of the current if V_{12}>0. When V_{12}=V_{11}, the current is suppressed at small bias, but the ``charging energy'', obtained from the asymptotic behavior at high bias voltage, vanishes.