Direct and parametric synchronization of a graphene self-oscillator

S. Houri; S. J. Cartamil-Bueno; M. Poot; P. G. Steeneken; H. S.J. Van der Zant; W. J. Venstra

doi:10.1063/1.4976310

Direct and parametric synchronization of a graphene self-oscillator

S. Houri, S. J. Cartamil-Bueno, M. Poot, P. G. Steeneken, H. S.J. Van der Zant, W. J. Venstra

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We explore the dynamics of a graphene nanomechanical oscillator coupled to a reference oscillator. Circular graphene drums are forced into self-oscillation, at a frequency f_osc, by means of photothermal feedback induced by illuminating the drum with a continuous-wave red laser beam. Synchronization to a reference signal, at a frequency f_sync, is achieved by shining a power-modulated blue laser onto the structure. We investigate two regimes of synchronization as a function of both detuning and signal strength for direct (f_sync ≈ f_osc) and parametric locking (f_sync ≈ 2f_osc). We detect a regime of phase resonance, where the phase of the oscillator behaves as an underdamped second-order system, with the natural frequency of the phase resonance showing a clear power-law dependence on the locking signal strength. The phase resonance is qualitatively reproduced using a forced van der Pol-Duffing-Mathieu equation.

Original language	English
Article number	073103
Journal	Applied Physics Letters
Volume	110
Issue number	7
DOIs	https://doi.org/10.1063/1.4976310
State	Published - 13 Feb 2017
Externally published	Yes

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title = "Direct and parametric synchronization of a graphene self-oscillator",

abstract = "We explore the dynamics of a graphene nanomechanical oscillator coupled to a reference oscillator. Circular graphene drums are forced into self-oscillation, at a frequency fosc, by means of photothermal feedback induced by illuminating the drum with a continuous-wave red laser beam. Synchronization to a reference signal, at a frequency fsync, is achieved by shining a power-modulated blue laser onto the structure. We investigate two regimes of synchronization as a function of both detuning and signal strength for direct (fsync ≈ fosc) and parametric locking (fsync ≈ 2fosc). We detect a regime of phase resonance, where the phase of the oscillator behaves as an underdamped second-order system, with the natural frequency of the phase resonance showing a clear power-law dependence on the locking signal strength. The phase resonance is qualitatively reproduced using a forced van der Pol-Duffing-Mathieu equation.",

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AU - Houri, S.

AU - Cartamil-Bueno, S. J.

AU - Poot, M.

AU - Steeneken, P. G.

AU - Van der Zant, H. S.J.

AU - Venstra, W. J.

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N2 - We explore the dynamics of a graphene nanomechanical oscillator coupled to a reference oscillator. Circular graphene drums are forced into self-oscillation, at a frequency fosc, by means of photothermal feedback induced by illuminating the drum with a continuous-wave red laser beam. Synchronization to a reference signal, at a frequency fsync, is achieved by shining a power-modulated blue laser onto the structure. We investigate two regimes of synchronization as a function of both detuning and signal strength for direct (fsync ≈ fosc) and parametric locking (fsync ≈ 2fosc). We detect a regime of phase resonance, where the phase of the oscillator behaves as an underdamped second-order system, with the natural frequency of the phase resonance showing a clear power-law dependence on the locking signal strength. The phase resonance is qualitatively reproduced using a forced van der Pol-Duffing-Mathieu equation.

AB - We explore the dynamics of a graphene nanomechanical oscillator coupled to a reference oscillator. Circular graphene drums are forced into self-oscillation, at a frequency fosc, by means of photothermal feedback induced by illuminating the drum with a continuous-wave red laser beam. Synchronization to a reference signal, at a frequency fsync, is achieved by shining a power-modulated blue laser onto the structure. We investigate two regimes of synchronization as a function of both detuning and signal strength for direct (fsync ≈ fosc) and parametric locking (fsync ≈ 2fosc). We detect a regime of phase resonance, where the phase of the oscillator behaves as an underdamped second-order system, with the natural frequency of the phase resonance showing a clear power-law dependence on the locking signal strength. The phase resonance is qualitatively reproduced using a forced van der Pol-Duffing-Mathieu equation.

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Direct and parametric synchronization of a graphene self-oscillator

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