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The spatially nonlocal response functions of graphene obtained on the basis of first principles of quantum field theory using the polarization tensor are considered in the areas of both the on-the-mass-shell and off-the-mass-shell waves. It…

Quantum Physics · Physics 2023-05-29 G. L. Klimchitskaya , V. M. Mostepanenko

We review and obtain some new results on the temperature dependence of spatially nonlocal response functions of graphene and their applications to calculation of both the equilibrium and nonequilibrium Casimir and Casimir-Polder forces.…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 G. L. Klimchitskaya , V. M. Mostepanenko

The polarization tensor of graphene derived in the framework of the Dirac model using the methods of thermal quantum field theory in (2+1) dimensions is recast in a mathematically equivalent but more compact and convenient in computations…

Quantum Physics · Physics 2025-02-20 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

We derive the polarization tensor of graphene at nonzero temperature in (2+1)-dimensional space-time. The obtained tensor coincides with the previously known one at all Matsubara frequencies, but, in contrast to it, admits analytic…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

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 electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

We review recent results on the low-temperature behaviors of the Casimir-Polder and Casimir free energy an entropy for a polarizable atom interacting with a graphene sheet and for two graphene sheets, respectively. These results are…

Quantum Physics · Physics 2020-09-22 G. L. Klimchitskaya , V. M. Mostepanenko

The comparison studies of theoretical approaches to the description of the Casimir interaction in layered systems including graphene is performed. It is shown that at zero temperature the approach using the polarization tensor leads to the…

Other Condensed Matter · Physics 2014-03-07 G. L. Klimchitskaya , V. M. Mostepanenko , Bo E. Sernelius

The plausible resolution of the Casimir puzzle implying that the dissipative Drude model is not applicable in the area of transverse electric evanescent waves is discussed. Calculations show that for the propagating waves, as well for the…

Quantum Physics · Physics 2025-06-19 V. M. Mostepanenko , G. L. Klimchitskaya

We consider the Casimir pressure between two graphene sheets and contributions to it determined by evanescent and propagating waves with different polarizations. For this purpose, the derivation of the 2-dimensional (2D) Fresnel reflection…

Quantum Physics · Physics 2023-11-02 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

In this paper, we consider the convergence properties of the polarization tensor of graphene obtained in the framework of thermal quantum field theory in three-dimensional space-time. During the last years, this problem attracted much…

High Energy Physics - Theory · Physics 2024-06-25 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko

We consider the nonequilibrium Casimir pressure in the system of two parallel graphene-coated plates one of which is either warmer or cooler than the environment. The electromagnetic response of graphene coating characterized by the nonzero…

Quantum Physics · Physics 2025-04-17 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

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 interaction of light with matter has triggered the interest of scientists for long time. The area of plasmonics emerges in this context through the interaction of light with valence electrons in metals. The random phase approximation in…

Optics · Physics 2017-04-07 Marios Mattheakis , Giorgos P. Tsironis , Efthimios Kaxiras

It has been known that the Lifshitz theory of the Casimir force comes into conflict with the measurement data if the response of conduction electrons in metals to electromagnetic fluctuations is described by the well tested dissipative…

Quantum Physics · Physics 2022-01-07 G. L. Klimchitskaya , V. M. Mostepanenko

We show that graphene-dielectric multilayers give rise to an unusual tunability of the Casimir-Lifshitz forces, and allow to easily realize completely different regimes within the same structure. Concerning thermal effects,…

Mesoscale and Nanoscale Physics · Physics 2017-03-27 Chahine Abbas , Brahim Guizal , Mauro Antezza

Quantum effects of plasmonic phenomena have been explored through ab-initio studies, but only for exceedingly small metallic nanostructures, leaving most experimentally relevant structures too large to handle. We propose instead an…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Wei Yan , Martijn Wubs , N. Asger Mortensen

A differential measurement scheme is proposed which allows for a clear observation of the giant thermal effect for the Casimir force, that was recently predicted to occur in graphene systems at short separation distances. The difference…

Mesoscale and Nanoscale Physics · Physics 2017-08-03 G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko

Using the recently derived representation for the polarization tensor in (2+1)-dimensional space-time allowing an analytic continuation to the entire plane of complex frequencies, we obtain simple analytic expressions for the reflection…

Other Condensed Matter · Physics 2015-05-08 G. L. Klimchitskaya , V. M. Mostepanenko
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