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The dynamics of nanomechanical resonators driven by both low- and high-frequency signals is studied. Considering, as an example, resonators made of a doubly-clamped beam with magnetomotive driving, it is shown that three-frequency…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Anastasiia Y. Nimets , Klaus Schuenemann , Dmytro M. Vavriv

Nanomechanical resonator-based sensing devices are used in medical diagnostics based on their high-frequency dynamic behavior. Cantilevers fall into the category of Nanomechanical resonators. It also resembles a resonator whose shape is…

Instrumentation and Detectors · Physics 2023-12-19 Abhay K. Rajak , Ritambhara Dash , Ashwini Kumari , A. S. Bhattacharyya

A mechanical electroscope based on a change in the resonant frequency of a cantilever one micron in size in the presence of charge has recently been fabricated. We derive the decoherence rate of a charge superposition during measurement…

Condensed Matter · Physics 2009-11-07 R. E. S. Polkinghorne , G. J. Milburn

Bistability in nanomechanical resonators can be exploited for sensing, signal processing, and memory applications due to its potential for switching and high sensitivity to external stimuli. External vibration can be used to drive a…

Applied Physics · Physics 2025-09-26 Toji Thomas , Kevin F. MacDonald , Eric Plum

We have studied theoretically magnetic resonance force microscopy (MRFM) with a high frequency nanomechanical cantilever when the cantilever frequency matches the resonant frequency of a single electron spin. Our estimations show that in…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Gennady P. Berman , Vladimir I. Tsifrinovich

The electrical response of two-dimensional electron gas to vibrations of a nanomechanical cantilever containing it is studied. Vibrations of perpendicularly oriented cantilevers are experimentally shown to change oppositely the conductivity…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 A. A. Shevyrin , A. G. Pogosov , A. K. Bakarov , A. A. Shklyaev

The motion of a vibrating object is determined by the way it is held. This simple observation has long inspired string instrument makers to create new sounds by devising elegant string clamping mechanisms, whereby the distance between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Yue Ying , Zhuo-Zhi Zhang , Joel Moser , Zi-Jia Su , Xiang-Xiang Song , Guo-Ping Guo

Nanoscale resonators that oscillate at high frequencies are useful in many measurement applications. We studied a high-quality mechanical resonator made from a suspended carbon nanotube driven into motion by applying a periodic radio…

Mesoscale and Nanoscale Physics · Physics 2010-01-27 G. A. Steele , A. K. Huettel , B. Witkamp , M. Poot , H. B. Meerwaldt , L. P. Kouwenhoven , H. S. J. van der Zant

The extensive research and development of micromechanical resonators is trying to allow the use of these devices for highly sensitive applications. Microcantilevers are some of the simplest MEMS structure and had been proved to be a good…

Other Computer Science · Computer Science 2008-02-22 M. Narducci , E. Figueras , I. Gracia , L. Fonseca , J. Santander , C. Cané

Recently, using an Atomic Force Microscope and a single cantilever excited at different frequencies it was shown that water nanomeniscus can exhibit a transition in mechanical responses when submitted to stimuli above few tens of kHz. The…

Soft Condensed Matter · Physics 2016-09-26 Simon Carpentier , Mario S. Rodrigues , Luca Costa , Miguel V. VItorino , Joel Chevrier

The performance of a wide variety of ultra-sensitive devices employing nanoelectromechanical resonators is determined by their mechanical quality factor, yet energy dissipation in these systems remains poorly understood. Here we develop a…

Materials Science · Physics 2007-05-23 Michael R. Geller , Joel B. Varley

In optical detection setups to measure the deflection of micro-cantilevers, part of the sensing light is absorbed, heating the mechanical probe. We present experimental evidences of a frequency shift of the resonant modes of a cantilever…

Instrumentation and Detectors · Physics 2015-06-23 Felipe Aguilar Sandoval , Mickael Geitner , Éric Bertin , Ludovic Bellon

Dynamical response of nanomechanical cantilever structures immersed in a viscous fluid is important to in vitro single-molecule force spectroscopy, biomolecular recognition of disease-specific proteins, and the detection of microscopic…

Other Condensed Matter · Physics 2009-11-11 Jerome Dorignac , Agnieszka Kalinowski , Shyamsunder Erramilli , Pritiraj Mohanty

We propose a general one-dimensional {\em continuous} formulation to analyze the vibrational modes of antenna-like nanomechanical resonators consisting of two symmetric arrays of cantilevers affixed to a central nano-beam. The cantilever…

Mathematical Physics · Physics 2015-05-13 J. Dorignac , A. Gaidarzhy , P. Mohanty

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

Time-dependent linear coupling between macroscopic quantum resonator modes generates both a parametric amplification also known as a {}"squeezing operation" and a beam splitter operation, analogous to quantum optical systems. These…

Mesoscale and Nanoscale Physics · Physics 2012-06-07 L. Tian , M. S. Allman , R. W. Simmonds

The small mass and high coherence of nanomechanical resonators render them the ultimate force probe, with applications ranging from biosensing and magnetic resonance force microscopy, to quantum optomechanics. A notorious challenge in these…

Quantum Physics · Physics 2017-07-18 Yeghishe Tsaturyan , Andreas Barg , Eugene S. Polzik , Albert Schliesser

We studied the dynamical response of a nanomechanical resonator to biomolecular (e.g. DNA) adsorptions on a resonator's surface by using a theoretical model, which considers the Hamiltonian H such that the potential energy consists of…

Soft Condensed Matter · Physics 2009-11-13 Kilho Eom , Tae Yun Kwon , Dae Sung Yoon , Hong Lim Lee , Tae Song Kim

Mechanical resonances are used in a wide variety of devices; from smart phone accelerometers to computer clocks and from wireless communication filters to atomic force microscope sensors. Frequency stability, a critical performance metric,…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Swapan K. Roy , Vincent T. K. Sauer , Jocelyn N. Westwood-Bachman , Anandram Venkatasubramanian , Wayne K. Hiebert

We present a high-sensitivity measurement technique for mechanical nanoresonators. Due to intrinsic nonlinear effects, different flexural modes of a nanobeam can be coupled while driving each of them on resonance. This mode-coupling scheme…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 M. Defoort , K. J. Lulla , C. Blanc , O. Bourgeois , A. D. Armour , E. Collin
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