2017
DOI: 10.1038/s41467-017-01351-4
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Nonlinear dynamic characterization of two-dimensional materials

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 mea… Show more

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Cited by 119 publications
(129 citation statements)
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“…Tunability Ω Γ Coupling ωx c u Plasmon in graphene [28][29][30] 0.1 -1 eV 10 THz 0.1 GHz 10 nm 10 −5 0.01 -0.1 Exciton in TMD monolayers [30,31] 2 eV 20 GHz 0. Table I presents an overview of various potential systems in different ranges of electromagnetic spectrum and Fig.…”
Section: Discussionmentioning
confidence: 99%
“…Tunability Ω Γ Coupling ωx c u Plasmon in graphene [28][29][30] 0.1 -1 eV 10 THz 0.1 GHz 10 nm 10 −5 0.01 -0.1 Exciton in TMD monolayers [30,31] 2 eV 20 GHz 0. Table I presents an overview of various potential systems in different ranges of electromagnetic spectrum and Fig.…”
Section: Discussionmentioning
confidence: 99%
“…The remarkable electronic [1,2], thermal [3][4][5] and mechanical [6][7][8] properties of graphene have opened the door for many new electronic devices [9][10][11][12] and sensors [13][14][15][16][17][18][19][20]. Fabrication of these devices on wafer-scale often requires transfer of sheets of single-layer graphene grown by chemical vapor deposition, using a support polymer [21][22][23][24][25][26].…”
Section: Introductionmentioning
confidence: 99%
“…Several works have determined the amount of contamination on top of graphene resonators by tracking the resonance frequency shift in response to an out-of-plane force [9,[36][37][38][39]. However, these methods require knowledge of the mechanical properties of the resonator, which vary considerably from device-to-device, impacting the accuracy of resonance-based measurement methods [7,[43][44][45][46][47]. Moreover, resonance based methods only probe con-tamination over a small area of the suspended resonator, whereas large lateral variations in the amount of contamination can occur.…”
Section: Introductionmentioning
confidence: 99%
“…8,[11][12][13][14][15] Suspended atomically thin graphene structures that include doubly-clamped graphene beams, fully clamped graphene membranes and graphene cantilevers have been extensively studied and 3 have been utilized in electromechanical resonators, [16][17][18][19][20] various types of pressure sensors, 9,[21][22][23][24][25][26][27][28] strain sensors, 29,30 high responsivity photodetectors, 31 NEMS switches, 32 earphones, 33 loudspeakers, 34 microphones 35,36 and other NEMS devices. 7,[37][38][39][40][41][42] NEMS accelerometers and gyroscopes typically require masses that are attached to suspended membranes, beams or cantilevers. However, realizing suspended graphene with large attached proof masses remians challenging.…”
Section: Mems Nems Accelerometersmentioning
confidence: 99%