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The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The non-retarded Casimir interaction (van der Waals interaction) between two free standing graphene sheets as well as between a graphene sheet and a substrate is determined. An exact analytical expression is given for the dielectric…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Bo E. Sernelius

Theory of the Casimir effect for a flat graphene layer interacting with a parallel flat material is presented in detail. The high-temperature asymptotics of a free energy in a graphene-metal system coincides with a Drude high-temperature…

High Energy Physics - Theory · Physics 2015-06-03 Valery N. Marachevsky

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

We calculate the Casimir interaction of two freestanding graphene samples under uniaxial strain. Our approach fully takes retardation and dispersion into account and is based on quantum field theoretical expressions for conductivities in…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 M. Bordag , I. Fialkovsky , D. Vassilevich

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…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 M. Bordag , I. Fialkovsky , D. Vassilevich

The Casimir force between graphene sheets is investigated with emphasis on the effect from spatial dispersion using a combination of factors, such as a nonzero chemical potential and an induced energy gap. We distinguish between two regimes…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Drosdoff , A. D. Phan , L. M. Woods , I. V. Bondarev , J. F. Dobson

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

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

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

Nanoscale surface forces such as Casimir and the van der Waals forces can have a significant influence on fabrication, handling and assembly processes as well as the performance of micro and nano devices. In this paper, the investigation…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 Anh D. Phan , N. A. Viet , Nikolai A. Poklonski , Lilia M. Woods , Chi H. Le

The Casimir force between two infinitely thin parallel sheets in a setting of $N$ such sheets is found. The finite two-dimensional conductivities, which describe the dispersive and absorptive properties of each sheet, are taken into…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 D. Drosdoff , Lilia M. Woods

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 investigate the Fermionic Casimir effect at finite temperature for two parallel chain of adatoms in a Graphene sheet, and the corresponding Casimir force is interpreted as an interaction between the adatom chains. We apply useful…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Y. Koohsarian , A. Shirzad

We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature the Casimir interaction…

High Energy Physics - Theory · Physics 2013-05-29 Ignat V. Fialkovsky , Valery N. Marachevsky , Dmitri V. Vassilevich

We present the results of an experiment on measuring the gradient of the Casimir force between an Au-coated hollow glass microsphere and graphene-coated fused silica plate by means of a modified atomic force microscope cantilever based…

Quantum Physics · Physics 2021-09-01 M. Liu , Y. Zhang , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

We investigate the thermal Casimir interaction of a suspended graphene described by the Dirac model with a plate made of dielectric or metallic materials. The reflection coefficients on graphene expressed in terms of a temperature-dependent…

Materials Science · Physics 2015-06-11 M. Bordag , G. L. Klimchitskaya , 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

The rigorous finite-temperature QED formalism of the polarization tensor is used to study the combined effect of nonzero mass gap $m$ and chemical potential $\mu$ on the Casimir force and its thermal correction in the experimentally…

Other Condensed Matter · Physics 2017-09-20 G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane ideal conductor. We employ both the Quantum Field Theory (QFT) approach, and the Lifshitz…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 I. V. Fialkovsky
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