Resonant tunneling of interacting electrons in a one-dimensional wire

TL;DR

This paper develops a non-perturbative analytical theory for the conductance of a one-dimensional interacting electron wire with a double barrier, revealing a non-monotonic temperature dependence due to resonant tunneling.

Contribution

It introduces a novel non-perturbative analytical approach to analyze resonant tunneling in interacting 1D systems, valid across various temperatures and barrier configurations.

Findings

Conductance exhibits non-monotonic temperature dependence.

Resonant tunneling effects are significantly influenced by electron-electron interactions.

The theory applies broadly to different barrier parameters.

Abstract

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative analytical theory of the conductance valid in a broad region of temperatures and for a variety of the barrier parameters. We find that the conductance may have a non-monotonic crossover dependence on temperature, specific for a resonant tunneling in an interacting electron system.