Coupling between quantum Hall state and electromechanics in suspended graphene resonator

TL;DR

This study investigates the interaction between quantum Hall states and mechanical motion in suspended graphene resonators, revealing mutual influence where electron transport affects and is affected by mechanical and magnetic properties.

Contribution

It demonstrates the coupling between quantum Hall states and electromechanical behavior in graphene resonators, highlighting the influence of magnetization and mechanical resonance on electronic transport.

Findings

Resonance modifies the DC resistance via electronic interference.

Magnetization alters the resonator's frequency and equilibrium position.

Strong coupling between quantum Hall states and mechanical motion is observed.

Abstract

Using graphene resonator, we perform electromechanical measurements in quantum Hall regime to probe the coupling between a quantum Hall (QH) system and its mechanical motion. Mechanically perturbing the QH state through resonance modifies the DC resistance of the system and results in a Fano-lineshape due to electronic interference. Magnetization of the system modifies the resonator's equilibrium position and effective stiffness leading to changes in resonant frequency. Our experiments show that there is an intimate coupling between the quantum Hall state and mechanics - electron transport is affected by physical motion and in turn the magnetization modifies the electromechanical response.