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Anomalous Resonance Frequency Shift of a Microelectromechanical Oscillator in Superfluid \(^3\)He-B

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Abstract

A superfluid \(^3\)He film with a thickness of 1.25 \(\upmu \)m was studied using a microelectromechanical oscillator at various pressures of 9.2, 18.2, 25.2, and 28.6 bars. The oscillator was driven in the linear damping regime where the damping coefficient is independent of the velocity of the oscillator. The resonance frequency shows weak temperature and pressure dependences in the low temperature limit. An inertia coefficient of \(\approx \)0.1 was obtained in the ballistic regime. When the temperature rose from the lowest temperature, the resonance frequency of the resonator exhibited an unusual behavior, a rapid increase beyond the intrinsic value as temperature increases, for 9.2 and 18.2 bars.

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Acknowledgements

We would like to acknowledge the Lancaster Low Temperature group for providing quartz tuning forks as one of the TF thermometers. This work is supported by the National Science Foundation, Grant No. DMR-1205891 (YL).

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Authors and Affiliations

  1. Department of Physics, University of Florida, Gainesville, FL, 32611-8440, USA

    P. Zheng, W. G. Jiang, C. S. Barquist & Y. Lee

  2. Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    H. B. Chan

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  1. P. Zheng
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  2. W. G. Jiang
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  3. C. S. Barquist
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Correspondence to P. Zheng.

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Zheng, P., Jiang, W.G., Barquist, C.S. et al. Anomalous Resonance Frequency Shift of a Microelectromechanical Oscillator in Superfluid \(^3\)He-B. J Low Temp Phys 187, 309–323 (2017). https://doi.org/10.1007/s10909-017-1752-8

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