Current drag in capacitevly coupled Luttinger constrictions

TL;DR

This paper investigates current drag phenomena in coupled 1D electron channels, revealing conditions under which the currents become equal, including both perturbative and non-perturbative regimes.

Contribution

It introduces a comprehensive analysis of current drag in coupled Luttinger liquids, including perturbative and non-perturbative results, and identifies conditions for absolute drag.

Findings

Drag can become absolute with equal currents in a finite bias window

Perturbation theory and non-perturbative regimes are both analyzed

Conditions for absolute drag depend on system parameters

Abstract

We study the current drag in the system of two electrostatically coupled finite 1D electron channels. We present the perturbation theory results along with the results for two non-perturbative regimes. It is shown that the drag may become absolute, that is, the currents in the channels are equal in a finite window of the bias voltages.