Measuring the Casimir force gradient from graphene on a SiO<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>substrate

Банишев, А. А.; Wen, Hua; Xu, Jun; Kawakami, Roland; Klimchitskaya, G. L.; Mostepanenko, V. M.; Mohideen, U.

doi:10.1103/physrevb.87.205433

Cited by 109 publications

(176 citation statements)

References 48 publications

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“…In addition, mutlibody effects must be taken into account. Recently, the interaction between a graphene sheet and a flat substrate using the Lifshitz theory has been studied [13][14][15][16][17], and a good agreement between the theoretical value calculated by the combination of the Lifshitz theory and Dirac model and the measurement using a dynamical atomic force microscope (AFM) was reported [18].…”

Section: Introductionmentioning

confidence: 99%

Interaction Energy between Graphene and a Silicon Substrate Using Pairwise Summation of the Lennard-Jones Potential

Inui

Iwasaki

2017

e-J. Surf. Sci. Nanotech.

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We consider the computation of a long-range interaction energy between a single graphene sheet and a silicon substrate, which arises from vacuum fluctuations. The interaction energy obtained by summation of the LennardJones potential between a carbon atom in a single graphene sheet and a silicon atom is compared with the dispersion energy (Casimir energy) obtained by combining the Lifshitz theory and the Dirac model for graphene. Deviation of the pairwise summation of the Lennard-Jones potential from the Casimir energy is corrected by adding a powerfunction term, whose coefficient depends on the distance between atoms. We also consider the interaction between a graphene sheet and a silicon dioxide substrate.

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Section: Introductionmentioning

confidence: 99%

Interaction Energy between Graphene and a Silicon Substrate Using Pairwise Summation of the Lennard-Jones Potential

Inui

Iwasaki

2017

e-J. Surf. Sci. Nanotech.

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“…These investigations have provided further impetus to technological progress. One of the topical subjects, which came to the experimental attention very recently [3], is the van der Waals and Casimir interaction of graphene deposited on a substrate with the test body made of an ordinary material.…”

Section: Introductionmentioning

confidence: 99%

Two approaches for describing the Casimir interaction in graphene: Density-density correlation function versus polarization tensor

2014

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A comparison study of theoretical approaches to the description of the Casimir interaction in layered systems including graphene is performed. It is shown that at zero temperature, the approach using the polarization tensor leads to the same results as the approach using the longitudinal density-density correlation function of graphene. An explicit expression for the zero-temperature transverse density-density correlation function of graphene is provided. We further show that the computational results for the Casimir free energy of graphene-graphene and graphene-Au plate interactions at room temperature, obtained using the temperature-dependent polarization tensor, deviate significantly from those using the longitudinal density-density correlation function defined at zero temperature. We derive both the longitudinal and transverse density-density correlation functions of graphene at nonzero temperature. The Casimir free energy in layered structures including graphene, computed using the temperature-dependent correlation functions, is exactly equal to that found using the polarization tensor.

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“…This is a complicated problem bearing in mind that it would be difficult to preserve the flatness of a freestanding graphene under the influence of force on the source side of atoms. The pioneer measurement of the Casimir force in graphene research was performed in the configuration of an Au sphere and a graphene sheet deposited on a SiO 2 film covering a Si plate [35]. The comparison of the experimental data with the Lifshitz theory required knowledge of the reflection coefficients of electromagnetic fluctuations on graphene-coated substrates.…”

Section: Introductionmentioning

confidence: 99%

Impact of graphene coating on the atom-plate interaction

Mostepanenko

2014

Phys. Rev. A

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Using the recently proposed quantum electrodynamical formalism, we calculate the CasimirPolder free energies and forces between the ground state atoms of Rb, Na, Cs and He * and the plates made of Au, Si, sapphire and fused silica coated with a graphene sheet. It is shown that the graphene coating has no effect on the Casimir-Polder interaction for metallic plates, but influences significantly for plates made of dielectric materials. The influence of graphene coating increases with decreasing static dielectric permittivity of the plate material and the characteristic frequency of an atomic dynamic polarizability. Simple analytic expressions for the classical limit of the Casimir-Polder free energy and force between an atom and a graphene-coated plate are obtained.From the comparison with the results of numerical computations, the application region of these expressions is determined.

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Measuring the Casimir force gradient from graphene on a SiO2substrate

Cited by 109 publications

References 48 publications

Interaction Energy between Graphene and a Silicon Substrate Using Pairwise Summation of the Lennard-Jones Potential

Interaction Energy between Graphene and a Silicon Substrate Using Pairwise Summation of the Lennard-Jones Potential

Two approaches for describing the Casimir interaction in graphene: Density-density correlation function versus polarization tensor

Impact of graphene coating on the atom-plate interaction

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