Nonlinear dynamic characterization of two-dimensional materials.
Nonlinear dynamic characterization of two-dimensional materials.
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DOI：
10.1038/s41467-017-01351-4
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发表时间：
2017-11-01
影响因子：
16.6
通讯作者：
Steeneken PG
中科院分区：
文献类型：
--
作者：
Davidovikj D;Alijani F;Cartamil-Bueno SJ;van der Zant HSJ;Amabili M;Steeneken PG
由于其原子尺度的厚度，二维(2D)材料膜的共振显示出仅在几皮牛顿的力下的非线性特征。尽管膜的线性动力学已被熟知，但非线性响应与谐振器材料特性之间的确切关系仍然难以捉摸。在这里，我们展示了一种由二维悬浮材料膜的非线性动态响应来确定其杨氏模数的方法。为了验证该方法，我们对石墨烯和MoS_2纳米鼓进行了测量，这些纳米鼓在多种驱动力作用下被静电驱动进入非线性区域。我们证明了只用三次弹簧常数作为拟合参数就可以拟合出一组频率响应曲线，然后我们用膜理论将其与材料的杨氏模数联系起来。该方法快速、非接触，为高频表征二维材料的力学性能提供了平台。原子薄膜的机械共振在微微牛顿范围内的驱动力下表现出非线性响应。在这里，作者发展了一种非接触式的方法，从这些纳米机械谐振器的非线性动态响应中提取二维材料的杨氏模数。
Owing to their atomic-scale thickness, the resonances of two-dimensional (2D) material membranes show signatures of nonlinearities at forces of only a few picoNewtons. Although the linear dynamics of membranes is well understood, the exact relation between the nonlinear response and the resonator’s material properties has remained elusive. Here we show a method for determining the Young’s modulus of suspended 2D material membranes from their nonlinear dynamic response. To demonstrate the method, we perform measurements on graphene and MoS2 nanodrums electrostatically driven into the nonlinear regime at multiple driving forces. We show that a set of frequency response curves can be fitted using only the cubic spring constant as a fit parameter, which we then relate to the Young’s modulus of the material using membrane theory. The presented method is fast, contactless, and provides a platform for high-frequency characterization of the mechanical properties of 2D materials. The mechanical resonances of atomically thin membranes show nonlinear responses at driving forces in the picoNewton range. Here, the authors develop a contactless method to extract the Young’s modulus of 2D materials from the nonlinear dynamic response of these nanomechanical resonators.
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影响因子：
29.4
作者：
Castellanos-Gomez, Andres;van Leeuwen, Ronald;Venstra, Warner J.
通讯作者：
Venstra, Warner J.
影响因子：
1.8
作者：
Atalaya, J.;Kinaret, J. M.;Isacsson, A.
通讯作者：
Isacsson, A.
影响因子：
4
作者：
Houri, S.;Cartamil-Bueno, S. J.;Venstra, W. J.
通讯作者：
Venstra, W. J.
影响因子：
29.4
作者：
Castellanos-Gomez, Andres;Poot, Menno;Rubio-Bollinger, Gabino
通讯作者：
Rubio-Bollinger, Gabino
影响因子：
56.9
作者：
Bunch, J. Scott;van der Zande, Arend M.;McEuen, Paul L.
通讯作者：
McEuen, Paul L.