Time-domain response of atomically thin $\mathrm{Mo}{\mathrm{S}}_2$ nanomechanical resonators

Abstract

We measure the energy relaxation rate of single- and few-layer molybdenum disulphide ($\mathrm{Mo}{\mathrm{S}}_2$) nanomechanical resonators by detecting the resonator ring-down. Recent experiments on these devices show a remarkably low quality (Q)-factor when taking spectrum measurements at room temperature. The origin of the low spectral Q-factor is an open question, and it has been proposed that besides dissipative processes, frequency fluctuations contribute significantly to the resonance line-width. The spectral measurements performed thus far however, do not allow one to distinguish these two processes. Here, we use time-domain measurements to quantify the dissipation. We compare the Q-factor obtained from the ring-down measurements to those obtained from the thermal noise spectrum and from the frequency response of the driven device. In few-layer and single-layer $\mathrm{Mo}{\mathrm{S}}_2$ resonators the two are in close agreement, which demonstrates that the spectral line-width in $\mathrm{Mo}{\mathrm{S}}_2$ membranes at room temperature is limited by dissipation, and that excess spectral broadening plays a negligible role.

13 pages, 5 figures

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• Dynamics of 2D Material Membranes
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• Diffusion-induced dissipation and mode coupling in nanomechanical resonators
• Mechanical mode imaging of a high-Q hybrid hBN/Si${}_3$N${}_4$ resonator