Nonlinear resonance in a three-terminal carbon nanotube resonator

TL;DR

This paper investigates the nonlinear resonance behavior of a three-terminal carbon nanotube resonator, revealing multiple oscillatory regimes and hysteresis effects through theoretical analysis and numerical simulations.

Contribution

It introduces a detailed analysis of nonlinear resonance phenomena in a three-terminal CNT resonator, including the derivation of algebraic equations for RF response prediction.

Findings

Identification of three distinct oscillatory regimes

Discovery of large hysteresis loops in frequency response

Derivation of algebraic equations for output power calculation

Abstract

The RF-response of a three-terminal carbon nanotube resonator coupled to RF-transmission lines is studied by means of perturbation theory and direct numerical integration. We find three distinct oscillatory regimes, including one regime capable of exhibiting very large hysteresis loops in the frequency response. Considering a purely capacitive transduction, we derive a set of algebraic equations which can be used to find the output power (S-parameters) for a device connected to transmission lines with characteristic impedance $Z_0$.