Narrowband nanomechanical mass measurement using nonlinear response of a graphene membrane

TL;DR

This paper introduces a method to measure the mass and position of a single particle on a graphene nanoresonator by exploiting its nonlinear response, enabling precise detection in a narrow frequency band.

Contribution

It presents a novel approach using nonlinear dynamics of a 2D graphene membrane for single-particle mass sensing, requiring only narrowband frequency measurements.

Findings

Successful numerical and analytical validation of the scheme.

Ability to determine mass and position simultaneously.

Operation in a narrow frequency band near fundamental resonance.

Abstract

We propose a scheme to measure the mass of a single particle using the nonlinear response of a 2D nanoresonator with degenerate eigenmodes. Using numerical and analytical calculations, we show that by driving a square graphene nanoresonator into the nonlinear regime, simultaneous determination of the mass and position of an added particle is possible. Moreover, this scheme only requires measurements in a narrow frequency band near the fundamental resonance.