# Deflection of suspended graphene by a transverse electric field

## TL;DR

This paper presents an analytical and simulation-based study of how a transverse electric field causes deflection and oscillation in suspended graphene nanoribbons, revealing size-dependent frequency changes.

## Contribution

It introduces a new analytical model validated by atomistic simulations to predict electric field-induced deflections and oscillations in graphene nanoribbons.

## Key findings

- Electric polarization causes deflection and oscillation in graphene.
- Oscillation frequency decreases with increasing graphene size.
- Model accurately predicts deformation under various electric fields.

## Abstract

We investigate the electromechanical response of doubly clamped graphene nanoribbons to a transverse gate voltage. An analytical model is developed to predict the field-induced deformation of graphene nanoribbons as a function of field intensity and graphene geometry. This model is validated thought atomistic simulations using the combination of a constitutive charge-dipole model and a pseudo-chemical many-body potential. As a newly observed effect of electric polarization, this field-induced deflection allows the graphene to oscillate at its natural frequency, which is found to decrease dramatically with increasing graphene size.