Nonlinear dynamic characterization of two-dimensional materials

Nature Communications
D DavidovikjPeter Gerard Steeneken

Abstract

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.

References

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Citations

Jan 8, 2019·Advanced Materials·Nestor IguiñizAndres Castellanos-Gomez
Jun 21, 2018·Scientific Reports·Robin J DollemanPeter G Steeneken
Apr 14, 2019·Nature Communications·Stefano StassiEnzo Di Fabrizio
Apr 29, 2020·Nanomaterials·Vassil TzanovNúria Barniol
Aug 9, 2020·Research : a Science Partner Journal·Max C LemmePeter G Steeneken
Nov 29, 2020·Nature Communications·I E RosłońP G Steeneken
Nov 4, 2020·Nature Communications·Xin ZhangStéphane Berciaud
Feb 19, 2021·Nature Communications·Ata KeşkeklerFarbod Alijani
Mar 16, 2021·Nano Letters·Hongchao XieKin Fai Mak
May 4, 2021·Advanced Materials·Visnja BabacicBartlomiej Graczykowski
Jul 15, 2021·Advanced Science·Joshoua Condicion EsmendaChii-Dong Chen
Aug 16, 2019·ACS Nano·Makars ŠiškinsPeter G Steeneken
Aug 20, 2020·ACS Applied Materials & Interfaces·Chengming JiangQinglei Guo

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Methods Mentioned

BETA
atomic force microscopy
AFM
chip

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