An RF Circuit Model for Carbon Nanotubes

TL;DR

This paper presents a comprehensive RF circuit model for single-walled carbon nanotubes, capturing their frequency-dependent impedance and plasmonic excitations, applicable to various measurement geometries.

Contribution

It introduces a nano-transmission line model incorporating kinetic, magnetic inductance, and quantum, electrostatic capacitance for carbon nanotubes.

Findings

Calculated complex impedance across frequencies

Predicted excitation of one-dimensional plasmons

Applicable to multiple measurement geometries

Abstract

We develop an rf circuit model for single walled carbon nanotubes for both dc and capacitively contacted geometries. By modeling the nanotube as a nano-transmission line with distributed kinetic and magnetic inductance as well as distributed quantum and electrostatic capacitance, we calculate the complex, frequency dependent impedance for a variety of measurement geometries. Exciting voltage waves on the nano-transmission line is equivalent to directly exciting the yet-to-be observed one dimensional plasmons, the low energy excitation of a Luttinger liquid.