Dynamics of 2D material membranes

Steeneken, Peter G.; Dolleman, Robin J.; Davidovikj, Dejan; Alijani, Farbod; Zant, Herre S. J. van der

doi:10.1088/2053-1583/ac152c

Cited by 58 publications

(53 citation statements)

References 187 publications

(443 reference statements)

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“…Similar behavior also appears in other mechanical resonators based on two-dimensional materials [66,67]. Since the membrane tension increases at low temperature, the loss is reduced and the Q value increases accordingly [68], which implies that the tension plays an important role in determining the loss and the device performance of graphene resonators.…”

Section: Loss and Quality Factorsupporting

confidence: 72%

A Review on Graphene-Based Nano-Electromechanical Resonators: Fabrication, Performance, and Applications

et al. 2022

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The emergence of graphene and other two-dimensional materials overcomes the limitation in the characteristic size of silicon-based micro-resonators and paved the way in the realization of nano-mechanical resonators. In this paper, we review the progress to date of the research on the fabrication methods, resonant performance, and device applications of graphene-based nano-mechanical resonators, from theoretical simulation to experimental results, and summarize both the excitation and detection schemes of graphene resonators. In recent years, the applications of graphene resonators such as mass sensors, pressure sensors, and accelerometers gradually moved from theory to experiment, which are specially introduced in this review. To date, the resonance performance of graphene-based nano-mechanical resonators is widely studied by theoretical approaches, while the corresponding experiments are still in the preliminary stage. However, with the continuous progress of the device fabrication and detection technique, and with the improvement of the theoretical model, suspended graphene membranes will widen the potential for ultralow-loss and high-sensitivity mechanical resonators in the near future.

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Section: Loss and Quality Factorsupporting

confidence: 72%

A Review on Graphene-Based Nano-Electromechanical Resonators: Fabrication, Performance, and Applications

et al. 2022

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“…However, since the mass of the single-layer graphene can deviate significantly from theory 33,34 and is unknown to us, we assume that in the ideal case Δ scales linearly with pressure p. This behavior is represented by the black line in Figure 2a, where we only plot Δ lin = A 1 p. For all the gases in Figure 2a, we observe that Δ is similar up to 100 mbar and described well by this linear behavior. However, at higher pressures, a significant gas dependence of Δ is observed, and all gases show a lower stiffness than expected.…”

mentioning

confidence: 90%

“…For the squeeze-film effect in the ideal case, meaning described well by eq , we expect that . However, since the mass of the single-layer graphene can deviate significantly from theory , and is unknown to us, we assume that in the ideal case Δ scales linearly with pressure p . This behavior is represented by the black line in Figure a, where we only plot Δ lin = A 1 p .…”

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confidence: 97%

Squeeze-Film Effect on Atomically Thin Resonators in the High-Pressure Limit

et al. 2021

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The resonance frequency of membranes depends on the gas pressure due to the squeeze-film effect, induced by the compression of a thin gas film that is trapped underneath the resonator by the high-frequency motion. This effect is particularly large in low-mass graphene membranes, which makes them promising candidates for pressure-sensing applications. Here, we study the squeeze-film effect in single-layer graphene resonators and find that their resonance frequency is lower than expected from models assuming ideal compression. To understand this deviation, we perform Boltzmann and continuum finite-element simulations and propose an improved model that includes the effects of gas leakage and can account for the observed pressure dependence of the resonance frequency. Thus, this work provides further understanding of the squeeze-film effect and provides further directions into optimizing the design of squeeze-film pressure sensors from 2D materials.

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“…Nesta classe de materiais, destacam-se, entre outros, o grafeno e o nitreto de boro hexagonal. Além da questão da periodicidade, apresentam também interessantes propriedades mecânicas e eletrônicas, conferindo-lhes o posto de candidatos a diversas aplicações [7][8][9][10][11].…”

Section: Introductionunclassified

Modelo de associação de molas em sistemas atômicos bidimensionais

Hobi

Souza

Britto

et al. 2022

Rev. Bras. Ensino Fís.

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A lei de Hooke estabelece uma relação direta entre a força aplicada e a deformação produzida num objeto, sendo a constante elástica o fator de proporcionalidade. Em disciplinas introdutórias de Física, a lei de Hooke é geralmente apresentada no contexto de molas reais. Este trabalho propõe uma abordagem didática complementar do tema “elasticidade dos materiais”, utilizando-se de um modelo microscópico em que as ligações interatômicas comportam-se como molas e, assim, a constante elástica de uma estrutura pode ser prevista por uma fórmula fechada extremamente simples no caso de sistemas periódicos. Em particular, estruturas de nitreto de boro hexagonal monocamada foram modeladas a partir de uma combinação série-paralelo de molas idênticas. Para garantir maior simplicidade teórica, o modelo foi concebido dentro da aproximação linear da elasticidade. Um estudo realizado mostrou que o valor máximo de deformação axial para este regime é de 1,8%. O modelo foi testado através de simulações computacionais atomísticas e mostrou-se capaz de prever acuradamente a constante elástica das estruturas. Por fim, a abordagem proposta revelou-se didaticamente simples e interessante para ser explorada em cursos introdutórios de Física ou Engenharia, sobretudo pela confirmação da validade das regras usuais de combinação de molas no domínio microscópico.

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Dynamics of 2D material membranes

Cited by 58 publications

References 187 publications

A Review on Graphene-Based Nano-Electromechanical Resonators: Fabrication, Performance, and Applications

A Review on Graphene-Based Nano-Electromechanical Resonators: Fabrication, Performance, and Applications

Squeeze-Film Effect on Atomically Thin Resonators in the High-Pressure Limit

Modelo de associação de molas em sistemas atômicos bidimensionais

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