%0 Journal Article
%T Nonlinear parametric amplification in a tri-port nanoelectromechanical device
%A E. Collin
%A T. Moutonet
%A J. -S. Heron
%A O. Bourgeois
%A Yu. M. Bunkov
%A H. Godfrin
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevB.84.054108
%X We report on measurements performed at low temperatures on a nanoelectromechanical system (NEMS) under (capacitive) parametric pumping. The excitations and detection schemes are purely electrical, and enable in the present experiment the straightforward measurement of forces down to about a femtonewton, for displacements of an Angstr\"om, using standard room temperature electronics. We demonstrate that a small (linear) force applied on the device can be amplified up to more than a 100 times, while the system is {\it truly moving}. We explore the dynamics up to about 50$~$nm deflections for cantilevers about 200$~$nm thick by 3$~$$\mu$m long oscillating at a frequency of 7$~$MHz. We present a generic modeling of nonlinear parametric amplification, and give analytic theoretical solutions enabling the fit of experimental results. We finally discuss the practical limits of the technique, with a particular application: the measurement of {\it anelastic damping} in the metallic coating of the device with an exceptional resolution of about 0.5$~$\%.
%U http://arxiv.org/abs/1511.07280v1