Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise

TL;DR

This study investigates ballistic single-walled carbon nanotubes' transport properties, revealing strong electron-electron interactions through conductance and noise measurements, and confirms the Tomonaga-Luttinger liquid model's applicability.

Contribution

It provides experimental evidence of Tomonaga-Luttinger liquid behavior in ballistic carbon nanotubes and demonstrates the model's quantitative agreement with observed transport phenomena.

Findings

Bias-voltage-dependent conductance oscillations

Power-law scaling of shot noise and Fano factor

Agreement between experiment and Tomonaga-Luttinger liquid theory

Abstract

We study the electrical transport properties of well-contacted ballistic single-walled carbon nanotubes in a three-terminal configuration at low temperatures. We observe signatures of strong electron-electron interactions: the conductance exhibits bias-voltage-dependent amplitudes of quantum interference oscillation, and both the current noise and Fano factor manifest bias-voltage-dependent power-law scalings. We analyze our data within the Tomonaga-Luttinger liquid model using the non-equilibrium Keldysh formalism and find qualitative and quantitative agreement between experiment and theory.