Nonlocal microscopic theory of Casimir forces at finite temperature

Despoja, Vito; Šunjić, Marijan; Marušić, Leonardo

doi:10.1103/physrevb.83.165421

Cited by 9 publications

(15 citation statements)

References 44 publications

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“…We assume 2D translational invariance and neglect retardation for the slab distances in consideration. For the sake of clarity and comparison, in AppendixA we derive analogous results for the case of parallel uniform motion, recovering but also generalizing some earlier results [19,20].…”

Section: Introductionsupporting

confidence: 57%

Quantum friction between oscillating crystal slabs: Graphene monolayers on dielectric substrates

2018

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We present a theoretical description of energy transfer processes between two noncontact quasitwodimensional crystals separated by distance a, oscillating with frequency ω0 and amplitude ρ0, and compare it with the case of two quasi-twodimensional crystals in uniform parallel motion. We apply the theory to calculate van der Waals energy and dissipated energy in two oscillating slabs where each slab consists of a graphene monolayer deposited on SiO2 substrate. The graphene dielectric response is determined from first principles, and SiO2 surface response is described using empirical local dielectric function. We studied the modification of vdW attraction as function of the driving frequency and graphene doping. We propose the idea of controlling the 'sticking' and 'unsticking' of slabs by tuning the graphene dopings EF i and driving frequency ω0. We found simple ρ 2 0 dependence of vdW and dissipated energy. As the Dirac plasmons are the dominant channels through which the energy between slabs can be transferred, the dissipated power in equally doped EF 1 = EF 2 = 0 graphenes shows strong ω0 = 2ωp peak. This peak is substantially reduceed when graphenes are deposited on SiO2 substrate. If only one graphene is pristine (EF i = 0) the 2ωp peak disappears. For larger separations a the phononic losses also become important and the doping causes shifts, appearance and disappearance of many peaks originating from resonant coupling between hybridized electronic/phononic excitations in graphene/substrate slabs.

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Section: Introductionsupporting

confidence: 57%

Quantum friction between oscillating crystal slabs: Graphene monolayers on dielectric substrates

2018

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“…24,26 However, there is one important difference between these two phenomena: nonlocal effects give only corrections to the local results for the van der Waals-Casimir energy, which arises mainly from the virtual exchange of surface plasmons or polaritons, while in the friction, as we have seen, nonlocal description is essential because it enables us to include contribution of electron-hole excitations, which is the dominant mechanism of friction at low velocities.…”

Section: Discussionmentioning

confidence: 99%

“…Needless to say, this procedure requires approximations that sometimes cannnot be justified. In this paper, as in the previous work on van der Waals 24 and Casimir forces, 26 we have avoided such difficulties and particularly the use of the dielectric function (or tensor). Our results (19)- (24) are derived using a field-theoretical method that does not involve explicitly the knowledge of electromagnetic fields or their matching at surfaces.…”

Section: Nonlocality Dispersion and Dissipationmentioning

confidence: 99%

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Nonlocal microscopic theory of quantum friction between parallel metallic slabs

2011

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We present a new derivation of the friction force between two metallic slabs moving with constant relative parallel velocity, based on T = 0 quantum-field theory formalism. By including a fully nonlocal description of dynamically screened electron fluctuations in the slab, and avoiding the usual matching-condition procedure, we generalize previous expressions for the friction force, to which our results reduce in the local limit. Analyzing the friction force calculated in the two local models and in the nonlocal theory, we show that for physically relevant velocities local theories using the plasmon and Drude models of dielectric response are inappropriate to describe friction, which is due to excitation of low-energy electron-hole pairs, which are properly included in nonlocal theory. We also show that inclusion of dissipation in the nonlocal electronic response has negligible influence on friction.

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“…The inhomogeneity in the surface charge distribution gives rise to the spatial dispersion in its permittivity. This nonlocal (wave-vector dependence) effect to the nano-optics and Casimir interaction has been studied by a number of authors using different approaches including: the phenomenological methods [6][7][8], random-phase approximation [9,10], and computational self-consistent jellium model [11][12][13]. They examined the nonlocal effects at relative large separations, a?1/ω p , and found the corrections are almost negligible (∼1%).…”

Section: Introductionmentioning

confidence: 99%

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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Nonlocal microscopic theory of Casimir forces at finite temperature

Cited by 9 publications

References 44 publications

Quantum friction between oscillating crystal slabs: Graphene monolayers on dielectric substrates

Quantum friction between oscillating crystal slabs: Graphene monolayers on dielectric substrates

Nonlocal microscopic theory of quantum friction between parallel metallic slabs

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

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