How to confirm and exclude different models of material properties in the Casimir effect

Mostepanenko, V. M.

doi:10.1088/0953-8984/27/21/214013

Cited by 20 publications

(31 citation statements)

References 64 publications

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“…In contrast, the predictions based on the lossless plasma model χ 0 , as advocated for example in [14], show a discontinuity with those of the Drude model that we will interpret as reflecting the difference (9). Let us now focus on the extension of the results in [8] to situations involving magnetic mirrors.…”

Section: Outlinementioning

confidence: 73%

Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

et al. 2016

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We examine the conditions of validity for the Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic plane mirrors. As in the previously studied case of non-magnetic materials (Guérout et al, Phys. Rev. E 90 042125), we recover the usual expression for the lossy model of optical response, but not for the lossless plasma model. We also show that the modes associated with the Foucault currents play a crucial role in the limit of vanishing losses, in contrast to expectations.

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Section: Outlinementioning

confidence: 73%

Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

et al. 2016

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“…(21), at any ζ l = 0 the plasma model (3) can be considered as a limiting case of the Drude model (21) when γ (n) goes to zero. Generally this statement is, however, incorrect because in the limiting case γ (n) → 0 the Drude model along the real frequency axis possesses a singularity proportional to δ(ω) [40].…”

Section: Perturbation Expansions Of the Casimir Free Energy Andmentioning

confidence: 99%

Analytic results for the Casimir free energy between ferromagnetic metals

Korikov

2015

Phys. Rev. A

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We derive perturbation analytic expressions for the Casimir free energy and entropy between two dissimilar ferromagnetic plates which are applicable at arbitrarily low temperature. The dielectric properties of metals are described using either the nondissipative plasma model or the Drude model taking into account the dissipation of free charge carriers. Both cases of constant and frequency-dependent magnetic permeability are considered. It is shown that for ferromagnetic metals described by the plasma model the Casimir entropy goes to zero when the temperature vanishes, i.e., the Nernst heat theorem is satisfied. For ferromagnetic metals with perfect crystal lattices described by the Drude model the Casimir entropy goes to a nonzero constant depending on the parameters of a system with vanishing temperature, i.e., the Nernst heat theorem is violated. This constant can be positive which is quite different from the earlier investigated case of two nonmagnetic metals.

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“…For high temperatures (or separations) the effect is hugely reinforced [8], but the measurements under such conditions is a separate quite challenging task, which is not completely solved yet even for metals, see e.g. [9]. It is not surprising therefore that just a single experiment has been performed until now [10].…”

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confidence: 99%

Enhanced Casimir effect for doped graphene

2016

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We analyze the Casimir interaction of doped graphene. To this end we derive a simple expression for the finite temperature polarization tensor with a chemical potential. It is found that doping leads to a strong enhancement of the Casimir force reaching almost 60% in quite realistic situations. This result should be important for planning and interpreting the Casimir measurements, especially taking into account that the Casimir interaction of undoped graphene is rather weak.Introduction Graphene, which is a two-dimensional sheet of carbon atoms possesses many unusual properties and attracts a lot of attention. Particular excitement among the theoreticians is caused by the fact that the spectrum of quasi-particles in graphene is described by the quasi-relativistic Dirac model with the effective propagation speed of about 300 times less than the speed of light. This continuous model turned out to be very successful in describing a broad range of effects [1], for instance optical properties of graphene as the absorption of light [2] and the (giant) Faraday effect [3], to mention a few.In the recent years, the Casimir effect for pristine graphene was studied both for zero [4,5] and finite [6][7][8] temperatures. For not too large temperatures (as compared with inverse distance between the interaction sheets) the effect between graphene monolayer and ideal metal is defined by the fine structure constant α 1/137 and is roughly 2.5% of the one between two ideal metal plates. Such small forces are on the limit of sensitivity of modern experimental techniques. For high temperatures (or separations) the effect is hugely reinforced [8], but the measurements under such conditions is a separate quite challenging task, which is not completely solved yet even for metals, see e.g. [9]. It is not surprising therefore that just a single experiment has been performed until now [10]. This experiment revealed [11] a good agreement with the theory [12]. Possibilities, opened by doping, were however not explored there.Previously the Casimir interaction of doped graphene was studied in [13,14]. The reflection coefficients used in that works were expressed though quantities whose explicit dependence on the temperature remained unknown and the results of Refs. [13,14] are mutually contradicting. Therefore, specifically after experimental confirmation of the Dirac approach to Casimir energy of undoped graphene [10,11], it seems to be important to extend the approach to doped graphene.In this letter we consider the Casimir effect at finite temperature, chemical potential and mass, and find a substantial enhancement of the effect in graphenemetal systems which potentially permits to avoid the above mentioned experimental difficulties. Our findings show that for relatively highly (but still feasibly) doped

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How to confirm and exclude different models of material properties in the Casimir effect

Cited by 20 publications

References 64 publications

Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

Analytic results for the Casimir free energy between ferromagnetic metals

Enhanced Casimir effect for doped graphene

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