Perturbative roughness corrections to electromagnetic Casimir energies

Wu, Hua Yao; Schaden, Martin

doi:10.1103/physrevd.89.105003

Cited by 6 publications

(3 citation statements)

References 53 publications

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“…From a fundamental point of view, this means a more realistic modelling of the surface boundary that includes the short distances phenomenon, such as electron tunneling and nonlocal effects, need to be constructed and employed. Similar problems can be found when calculating the Casimir energies for the objects or surface structures with small length, a=1/ω p , scale [4,5] where the high momentum contributions dominate the interaction.…”

Section: Introductionmentioning

confidence: 62%

The effects of surface electronic structure on Casimir interaction at short range

2018

J. Phys. Commun.

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We present a comprehensive model for analytically investigating the nonlocal and tunneling effects on Casimir interaction at short range for two metallic planes. The plates in this approach are described by free-electron gases constrained in semi-finite potential wells without imposing any macroscopic permittivity properties. Charge density distributions corresponding to the potential wells are calculated analytically to include the effects of spatial dispersion. We show that the Casimir energy in this limit highly depends on the electronic structure near the surface boundary. The usual Lifshitzʼs formula with macroscopic permittivity models can be recovered in the limit of bulk density function while the interaction appears to be largely suppressed as incorporating the nonlocal (real) density function. We also show that the divergences for zero distance can be eliminated in this model. A finite and sensible result is then obtained. Finally, the results are compared with the well-known Lifshitzʼs formula at zero temperature.

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Section: Introductionmentioning

confidence: 62%

The effects of surface electronic structure on Casimir interaction at short range

2018

J. Phys. Commun.

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“…There is also an observable influence of roughness [9] and periodic corrugations [10,11] in Casimir forces. In situations where the amplitude of roughness is much smaller than the distance between surfaces, the effect of roughness can be dealt with perturbatively [12][13][14], taking as zero order the interaction resulting for the smooth flat surfaces (defined to be the spatial averages of the rough ones).…”

Section: Introductionmentioning

confidence: 99%

Effect of concurrent geometry and roughness in interacting surfaces

2015

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We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude corrugation and a slightly curved, smooth surface. The corrugation, represented by a spatially random variable, involves Fourier wavelengths shorter than the (local) curvature radii of the smooth component of the surface. After averaging the interaction energy over the corrugation distribution, we obtain an expression which only depends on the smooth component. We then approximate that functional by means of a derivative expansion, calculating explicitly the leading and next-to-leading order terms in that approximation scheme. We analyze the resulting interplay between shape and roughness corrections for some specific corrugation models in the cases of electrostatic and Casimir interactions.arXiv:1409.5961v2 [hep-th]

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“…One important source of such interactions is Casimir force between two conducting surfaces that orginates from quantum and thermal fluctuations of the electromagnetic field [4]. It has been intensively studied in recent years in application to graphene heterostructures [5][6][7][8][9][10][11][12].…”

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confidence: 99%

Stability of suspended graphene under Casimir force

Chudnovsky

Zarzuela

2016

Phys. Rev. B

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We consider graphene sheet suspended above a conducting surface. Treating graphene as an elastic membrane subjected to Casimir force, we study its stability against attachment to the conductor. There exists a critical elevation at the edges below which the central part of suspended graphene nucleates a trunk that becomes attached to the conductor. The dependence of the critical elevation on temperature and dimensions of the graphene sheet is computed.

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Perturbative roughness corrections to electromagnetic Casimir energies

Cited by 6 publications

References 53 publications

The effects of surface electronic structure on Casimir interaction at short range

The effects of surface electronic structure on Casimir interaction at short range

Effect of concurrent geometry and roughness in interacting surfaces

Stability of suspended graphene under Casimir force

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