Theoretical modelling of arch-shaped carbon nanotube resonators exhibiting Euler-Bernoulli snap-through bi-stability

Rechnitz, Sharon; Shlafman, Shlomo; Tabachnik, Tal; Shlafman, Michael; Yaish, Yuval

doi:10.48550/arxiv.2203.02738

Cited by 2 publications

(6 citation statements)

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“…As an example for positive gate voltages, Δ V hyst = V gDC,ST – V gDC,R = 0.15 V. We shall clarify that the actual CNT static motion is more complex than described in this simplified explanation, since an out-of-plane deflection also evolves . We developed a theoretical model that allows us to predict the exact CNT shape at every static load, , but ultimately the snap-through jump represents a sudden transition from upward to downward configuration. Surprisingly, we observe a discontinuity in the DC transfer characteristic curves of bistable CNT resonators at the same load as the snap-through transition occurs (Figure c).…”

Section: Resultsmentioning

confidence: 99%

“…Taking the capacitance of a wire parallel to the plane and assuming ≪ 1 (where z is the CNT deflection along the z -axis and g 0 is the height of the source and drain above the local gate), we receive . Assuming z≪g 0 , we obtain the relation …”

Section: Discussionmentioning

confidence: 99%

“…Fortunately, our theoretical model , for the resonance frequency modes versus the gate voltage (Figure a) allows us to determine the exact shape and location of the CNT for any static load, and specifically before and after the ST transition (Figure b). Please note that our convention is such that the positive z -axis points downward.…”

Section: Discussionmentioning

confidence: 99%

“…Latching refers to a nonvolatile trait of a bistable buckled beam device in which the beam remains in the downward configuration after the electrostatic force is removed . Our theory predicts that under certain initial conditions, latching should be realizable in CNT bistable devices . The latching criterion is usually formalized by the demand that the force at which a snap-back occurs must be negative ( F SB < 0).…”

Section: Discussionmentioning

confidence: 99%

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DC Signature of Snap-through Bistability in Carbon Nanotube Mechanical Resonators

et al. 2022

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Bistable arched beams exhibiting Euler-Bernoulli snap-through buckling are widely investigated as promising candidates for various potential applications, such as memory devices, energy harvesters, sensors, and actuators. Recently, we reported the realization of a buckled suspended carbon nanotube (CNT) based bistable resonator, which exhibits a unique threedimensional snap-through transition and an extremely large change in frequency as a result. In this article, we address a unique characteristic of these devices in which a significant change in the DC conductance is also observed at the mechanical snap-through transition. Through the analysis of this phenomenon, we arrive at several important conclusions: we find that the common approach to determining CNT vibrational resonance amplitude is inaccurate; we find evidence that latching phenomena should be easily realizable, relevant for RF switches and nonvolatile memory devices. Finally, we present evidence for possible inner shell sliding, which is relevant for understanding interlayer coupling and moirépattern research.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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DC Signature of Snap-through Bistability in Carbon Nanotube Mechanical Resonators

et al. 2022

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“…Specific to low-dimensional materials, tuning wrinkling structures has been considered as an ideal way to manipulate their electronic properties through changing the lattice strain and curvature within wrinkles [22]. The fast change of strain and morphology resulting from snap-through buckling may be harnessed to develop nano-electromechanical devices with the coupling of force, electrical and morphology signal, such as the design of memcapacitor [23], actuators [24] and resonators [25,26] by using bi-stable graphene nanowrinkles or buckling carbon nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Snap-through of graphene nanowrinkles under out-of-plane compression

Ma¹,

Zhang²,

Jiao³

et al. 2022

Nanotechnology

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Nanowrinkles (i.e., the buckled nanoribbons) are widely observed in nano-devices assembled by two-dimensional (2D) materials. The existence of nanowrinkles significantly affects the physical (such as mechanical, electrical and thermal) properties of 2D materials, and thus further, impedes the applications of those devices. In this paper, we take the nanowrinkle formed in a monolayer graphene as a model system to study its deformation behaviours, especially the configuration evolution and the snap-through buckling instabilities, when subjected to the out-of-plane compression. By performing Molecular Dynamics (MD) simulation, the graphene nanowrinkles with or without self-adhesion (which are notated as ''clipped'' state or ''bump'' state, respectively) are obtained depending on the geometric size and the applied axial compressive pre-strain. The elastica theory is employed to quantify the shape of ''bump'' nanowrinkles, as well as the critical condition of the transition between ''clipped'' and ''bump'' states. By applying out-of-plane compression to the generated graphene nanowrinkle, it flips to an opposite configuration via snap-through buckling. We identify four different buckling modes according to the configuration evolution. An unified phase diagram is constructed to describe those buckling modes. For the cases with negligible van der Waals interaction getting involved in the snap-buckling process, i.e., without self-adhesion, the force-displacement curves for nanowrinkles with same axial pre-strain but different sizes can be scaled to collapse. Moreover, the critical buckling loads can also be scaled and predicted by the extended elastica theory. Otherwise, for the cases with self-adhesion, which corresponds to the greater axial pre-strain, the van der Waals interaction makes the scaling collapse break down. It is expected that the analysis about the snap-through buckling of graphene nanowrinkles reported in this work will advance the understanding of the mechanical behaviours of wrinkled 2D materials and promote the design of functional nanodevices, such as nanomechanical resonators and capacitors.

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Theoretical modelling of arch-shaped carbon nanotube resonators exhibiting Euler-Bernoulli snap-through bi-stability

Cited by 2 publications

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DC Signature of Snap-through Bistability in Carbon Nanotube Mechanical Resonators

DC Signature of Snap-through Bistability in Carbon Nanotube Mechanical Resonators

Snap-through of graphene nanowrinkles under out-of-plane compression

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