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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

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

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

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 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 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 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

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

The analytic expressions for the free energy and entropy of the Casimir-Polder interaction between a polarizable and magnetizable atom and a graphene sheet are found in the limiting case of low temperature. In so doing, the response of…

Quantum Physics · Physics 2018-09-26 G. L. Klimchitskaya , V. M. Mostepanenko

We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped graphene and for a set of doping levels covering…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Bo E. Sernelius

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 analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

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

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the Quantum Field Theory (QFT)…

High Energy Physics - Theory · Physics 2010-01-26 M. Bordag , I. V. Fialkovsky , D. M. Gitman , D. V. Vassilevich

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 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 formalism based on first principles of quantum electrodynamics at nonzero temperature which permits to calculate the Casimir-Polder interaction between an atom and a graphene sheet with arbitrary mass gap and chemical…

Mesoscale and Nanoscale Physics · Physics 2018-03-08 C. Henkel , G. L. Klimchitskaya , V. M. Mostepanenko

We present calculations of the thermal and electric linear response in graphene, including disorder in the self-consistent t-matrix approximation. For strong impurity scattering, near the unitary limit, the formation of a band of impurity…

Mesoscale and Nanoscale Physics · Physics 2008-04-29 Tomas Lofwander , Mikael Fogelstrom

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

Intervalley charged-impurity scattering processes are examined. It is found that the scattering probability is enhanced due to the Coulomb interaction with the impurity by the Sommerfield factor $F_Z\propto \epsilon^{2\sqrt{1-4g^2}-2}$,…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 L. S. Braginsky , M. V. Entin
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