  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.

Mesoscale and Nanoscale Physics