Theory of the Casimir interaction from graphene-coated substrates using the polarization tensor and comparison with experiment

Theory of the Casimir interaction from graphene-coated substrates using the polarization tensor and comparison with experiment
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使用偏振张量的石墨烯涂层基底的卡西米尔相互作用理论及与实验的比较

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发表时间:
2014
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通讯作者:
V. Mostepanenko
V. Mostepanenko
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作者:
G. L. Klimchitskaya;U. Mohideen;V. Mostepanenko

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我们提出了涂覆石墨烯片的多层测试体的热卡西米尔相互作用理论。这种结构上的反射系数用极化张量的分量和材料层的介电常数表示。本文应用所建立的理论计算了覆盖在硅板上的SiO${}_2$薄膜上的涂有au的球体与石墨烯片之间的卡西米尔力梯度,这是最近用动态原子力显微镜所做的实验结构。理论结果与实验数据吻合得很好。因此,我们证实石墨烯影响卡西米尔相互作用,并可用于调整纳米结构中的力大小。
We propose a theory of the thermal Casimir interaction for multilayered test bodies coated with a graphene sheet. The reflection coefficients on such structures are expressed in terms of the components of the polarization tensor and the dielectric permittivities of material layers. The developed theory is applied to calculate the gradient of the Casimir force between an Au-coated sphere and a graphene sheet deposited on a SiO${}_2$ film covering a Si plate, which is the configuration of a recent experiment performed by means of a dynamic atomic force microscope. The theoretical results are found to be in very good agreement with the experimental data. We thus confirm that graphene influences the Casimir interaction and can be used for tailoring the force magnitude in nanostructures.