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The analytic asymptotic expressions for the Casimir free energy and entropy for two parallel graphene sheets possessing nonzero energy gap $\Delta$ and chemical potential $\mu$ are derived at arbitrarily low temperature. Graphene is…

Other Condensed Matter · Physics 2020-07-15 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic…

Quantum Physics · Physics 2009-11-13 Iver Brevik , Simen A. Ellingsen , Kimball A. Milton

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 consider the system of two parallel sheets of graphene which are moving with relative parallel velocity $\vec{v}$ and calculate the Casimir energy by using the scattering approach. The energy has real and imaginary parts. The real part…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Mauro Antezza , Natalia Emelianova , Nail Khusnutdinov

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 compare theoretical expectations for the Casimir force with the results of precise measurements. The force is calculated at finite temperature for multilayered covering of the bodies using the Lifshitz theory. We argue that the…

Quantum Physics · Physics 2007-05-23 V. B. Svetovoy , M. V. Lokhanin

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 study the influence of impurities in graphene described by a scattering rate $\Gamma$ on the Casimir interaction between graphene and an ideal conductor or between two identical sheets of graphene at zero temperature and chemical…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 N. Khusnutdinov , D. Vassilevich

We study the Casimir-Lifshitz force (CLF) between a gold plate and a graphene-covered dielectric grating. Using a scattering matrix (S-matrix) approach derived from the Fourier Modal Method (FMM), we find a significant enhancement in the…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Youssef Jeyar , Minggang Luo , Brahim Guizal , H. B. Chan , Mauro Antezza

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

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 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

Several problems at the interface between the field-theoretical description of the Casimir effect and experiments on measuring the Casimir force are discussed. One of these problems is connected with the definition of the Casimir free…

Quantum Physics · Physics 2010-04-21 V. M. Mostepanenko

We propose a new theory of thermal Casimir effect, holding for the experimentally important case of metallic surfaces with a roughness having a spatial scale smaller than the skin depth. The theory is based on a simple phenomenological…

Quantum Physics · Physics 2007-11-05 G. Bimonte

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 thermal correction to the energy of Casimir-Polder interaction of atoms with a suspended graphene membrane described by the Dirac model is investigated. We show that a major impact on the thermal correction is made by the size of the…

Quantum Physics · Physics 2015-06-05 M. Chaichian , G. L. Klimchitskaya , V. M. Mostepanenko , A. Tureanu

The Casimir pressure is calculated between parallel metal plates, containing the materials Au, Cu, or Al. Our motivation for making this calculation is the need of comparing theoretical predictions, based on the Lifshitz formula, with…

Quantum Physics · Physics 2009-11-11 V. S. Bentsen , R. Herikstad , S. Skriudalen , I. Brevik , J. S. Høye

We performed measurements of the gradient of the Casimir force between Au-coated surfaces of a sphere and a plate by means of significantly upgraded dynamic atomic force microscope (AFM) based technique. By introducing combined cleaning…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Mingyue Liu , Jun Xu , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

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 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