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We propose an approach for investigation of interaction of thin material films with quantum electrodynamic fields. Using main principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we construct a single model…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Markov , Yu. M. Pis'mak

We consider a stack of parallel sheets composed of conducting planes with tensorial conductivities. Using the scattering matrix approach, we derive explicit formulas for the Casimir energy of two, three, and four planes, as well as a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Natalia Emelianova , Rashid Kashapov , Nail Khusnutdinov

We study the Casimir friction phenomenon in a system consisting of two flat, infinite, and parallel graphene sheets, which are coupled to the vacuum electromagnetic (EM) field. Those couplings are implemented, in the description we use, by…

High Energy Physics - Theory · Physics 2017-04-12 M. Belén Farias , César D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

Thermal effects contributing to the Casimir interaction between objects are usually small at room temperature and they are difficult to separate from quantum mechanical contributions at higher temperatures. We propose that the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Anh D. Phan , Lilia M. Woods , D. Drosdoff , I. V. Bondarev , N. A. Viet

The Casimir-Polder interaction between an atom and a multilayered system composed of infinitely thin planes is considered using the zeta-function regularization approach with summation of the zero-point energies. As a prototype material,…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

The Casimir interaction between two thin material films, between a film and a thick plate and between two films deposited on substrates is considered at large separations (high temperatures) which correspond to the classical limit. It is…

Other Condensed Matter · Physics 2014-01-10 G. L. Klimchitskaya , V. M. Mostepanenko

We consider the problem of modeling of interaction of thin material films with fields of quantum electrodynamics. Taking into account the basic principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we…

High Energy Physics - Theory · Physics 2009-11-11 V. N. Markov , Yu. M. Pis'mak

Using the recently proposed theory, we calculate thermal effect in the Casimir interaction from graphene-coated metallic and dielectric substrates. The cases when only one or both of the two parallel plates are coated with graphene are…

Quantum Physics · Physics 2015-06-19 G. L. Klimchitskaya , V. M. Mostepanenko

The thermal free energy and pressure of dispersion interaction between two graphene sheets described by the Dirac model are calculated using the Lifshitz formula with reflection coefficients expressed via the polarization tensor. The…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir and Casimir-Polder interactions are investigated in a stack of equally spaced graphene layers. The optical response of the individual graphene is taken into account using gauge invariant components of the polarization tensor…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

We reconsider the long-explored problem that the magnitude of the measured Casimir force between an Au sphere and an indium tin oxide (ITO) film decreases significantly with no respective changes in the ITO dielectric permittivity required…

Other Condensed Matter · Physics 2018-08-21 G. L . Klimchitskaya , V. M. Mostepanenko

We study the spatial properties of the Casimir friction phenomenon for an atom moving at a non-relativistic constant velocity parallel to a planar graphene sheet. The coupling of the atom to the vacuum electromagnetic (EM) field is…

Quantum Physics · Physics 2023-08-30 Aitor Fernández , César D. Fosco

The Casimir interaction is omnipresent source of forces at small separations between bodies, which is difficult to change by varying external conditions. Here we show that graphene interacting with a metal can have the best known force…

Other Condensed Matter · Physics 2015-05-30 Vitaly Svetovoy , Zakaria Moktadir , Miko Elwenspoek , Hiroshi Mizuta

Stability of graphene cantilever under Casimir attraction to an underlying conductor is investigated. The dependence of the instability threshold on temperature and flexural rigidity is obtained. Analytical work is supplemented by numerical…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Amel Derras-Chouk , Eugene Chudnovsky , Dmitry Garanin , Reem Jaafar

We report precision measurements of the gradient of the Casimir force between an Au-coated sphere and graphene sheet deposited on a silica plate. The measurement data are compared with exact theory using the polarization tensor found in the…

Quantum Physics · Physics 2021-06-14 M. Liu , Y. Zhang , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

We present a variety of methods to derive the Casimir interaction in planar systems containing two-dimensional layers. Examples where this can be of use is graphene, graphene-like layers and two-dimensional electron gases. We present…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Bo E. Sernelius

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…

Other Condensed Matter · Physics 2014-03-19 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The Casimir method for determining the dispersive force by varying zero vacuum energy fluctuations is applied to two graphene sheets in the approximation of the Drude model for surface conductivity. As an alternative, the Van Kampen…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Michael Davidovich

We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into…

High Energy Physics - Theory · Physics 2015-05-06 C. R. Muniz , V. B. Bezerra , M. S. Cunha

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

Quantum Physics · Physics 2015-06-18 L. P. Teo