Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid

TL;DR

This paper provides experimental evidence for resonant tunneling behavior in a Luttinger-liquid system, demonstrating temperature-dependent line width narrowing consistent with theoretical predictions.

Contribution

It presents the first direct experimental verification of Furusaki's model for resonant tunneling in a Luttinger-liquid.

Findings

Resonance line shape matches the derivative of the Fermi function.

Intrinsic line width decreases as a power law with temperature.

Results agree quantitatively with theoretical predictions.

Abstract

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of the island. Our results show that while the resonance line shape fits the derivative of the Fermi function the intrinsic line width decreases in a power law fashion as the temperature is reduced. This behavior agrees quantitatively with Furusaki's model for resonant tunneling in a Luttinger-liquid.