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Universal transduction scheme for nanomechanical systems based on dielectric forces

Abstract

Any polarizable body placed in an inhomogeneous electric field experiences a dielectric force. This phenomenon is well known from the macroscopic world: a water jet is deflected when approached by a charged object. This fundamental mechanism is exploited in a variety of contexts—for example, trapping microscopic particles in an optical tweezer1, where the trapping force is controlled via the intensity of a laser beam, or dielectrophoresis2, where electric fields are used to manipulate particles in liquids. Here we extend the underlying concept to the rapidly evolving field of nanoelectromechanical systems3,4 (NEMS). A broad range of possible applications are anticipated for these systems5,6,7, but drive and detection schemes for nanomechanical motion still need to be optimized8,9. Our approach is based on the application of dielectric gradient forces for the controlled and local transduction of NEMS. Using a set of on-chip electrodes to create an electric field gradient, we polarize a dielectric resonator and subject it to an attractive force that can be modulated at high frequencies. This universal actuation scheme is efficient, broadband and scalable. It also separates the driving scheme from the driven mechanical element, allowing for arbitrary polarizable materials and thus potentially ultralow dissipation NEMS10. In addition, it enables simple voltage tuning of the mechanical resonance over a wide frequency range, because the dielectric force depends strongly on the resonator–electrode separation. We use the modulation of the resonance frequency to demonstrate parametric actuation11,12. Moreover, we reverse the actuation principle to realize dielectric detection, thus allowing universal transduction of NEMS. We expect this combination to be useful both in the study of fundamental principles and in applications such as signal processing and sensing.

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Figure 1: Sample geometry and force acting on the nanomechanical resonator.
Figure 2: Response of the dielectrically driven nanomechanical resonator.
Figure 3: Tuning and parametric transduction of the nanoelectromechanical resonator.

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Acknowledgements

Financial support by the Deutsche Forschungsgemeinschaft via project Ko 416/18, the German Excellence Initiative via the Nanosystems Initiative Munich (NIM) and LMUexcellent as well as LMUinnovativ is gratefully acknowledged.

Author Contributions The experiment was performed and analysed by Q.P.U.; the results were discussed and the manuscript was written by all authors.

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Correspondence to Jörg P. Kotthaus.

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[Competing interests: A patent based on these results has been filed by Ludwig-Maximilians-Universität with Q.P.U. as inventor.]

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This file contains Supplementary Data, Supplementary Figure S1 with Legend and Supplementary References. (PDF 111 kb)

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Unterreithmeier, Q., Weig, E. & Kotthaus, J. Universal transduction scheme for nanomechanical systems based on dielectric forces. Nature 458, 1001–1004 (2009). https://doi.org/10.1038/nature07932

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