Energy losses of nanomechanical resonators induced by atomic force microscopy-controlled mechanical impedance mismatching

Clamping losses are a widely discussed damping mechanism in nanoelectromechanical systems, limiting the performance of these devices. Here we present a method to investigate this dissipation channel. Using an atomic force microscope tip as a local perturbation in the clamping region of a nanoelectromechanical resonator, we increase the energy loss of its flexural modes by at least one order of magnitude. We explain this by a transfer of vibrational energy into the cantilever, which is theoretically described by a reduced mechanical impedance mismatch between the resonator and its environment. A theoretical model for this mismatch, in conjunction with finite element simulations of the evanescent strain field of the mechanical modes in the clamping region, allows us to quantitatively analyse data on position and force dependence of the tip-induced damping. Our experiments yield insights into the damping of nanoelectromechanical systems with the prospect of engineering the energy exchange in resonator networks. Minimizing vibrational energy loss between mechanical resonators and their supports in nanomechanical systems is highly desirable. Here, the authors use the tip of an atomic force microscope to press down on the clamping region of the resonator, so as to study and control energy loss of different vibrational modes.