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We investigate the reflectance of a dielectric plate coated with a graphene sheet which possesses the nonzero energy gap and chemical potential at any temperature. The general formalism for the reflectance using the polarization tensor is…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 G. L. Klimchitskaya , V. S. Malyi , V. M. Mostepanenko , V. M. Petrov

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

The theoretical description for the reflectivity properties of dielectric, metal and semiconductor plates coated with graphene is developed in the framework of the Dirac model. Graphene is described by the polarization tensor allowing the…

Materials Science · Physics 2016-04-07 G. L. Klimchitskaya , C. C. Korikov , V. M. Petrov

The optical properties of dielectric plates coated with gapped graphene are investigated on the basis of first principles of quantum electrodynamics. The reflection coefficients and reflectivities of graphene-coated plates are expressed in…

Materials Science · Physics 2017-01-27 G. L. Klimchitskaya , V. M. Mostepanenko

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 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 consider the nonequilibrium dispersion force acting on nanoparticles on the source side of gapped graphene sheet. Nanoparticles are kept at the environmental temperature, whereas the graphene sheet may be either cooler or hotter than the…

The analytic expressions for the maximum and minimum reflectance of optical films coated with gapped graphene are derived in the application region of the Dirac model with account of multiple reflections. The respective film thicknesses are…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 G. L. Klimchitskaya , V. M. Mostepanenko

We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and…

Materials Science · Physics 2016-07-13 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 one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

Strongly Correlated Electrons · Physics 2008-12-12 P. K. Pyatkovskiy

We investigate the reflectionlessness and invisibility properties in the transverse electric (TE) mode solution of a linear homogeneous optical system which comprises the $\mathcal{PT}$-symmetric structures covered by graphene sheets. We…

Optics · Physics 2018-01-11 Mustafa Sarisaman , Murat Tas

Graphene is a 2-dimensional material with high carrier mobility and thermal conductivity, suitable for high-speed electronics. Conduction and valence bands touch at the Dirac point. The absorptivity of single-layer graphene is 2.3%, nearly…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 Marcus Freitag , Hsin-Ying Chiu , Mathias Steiner , Vasili Perebeinos , Phaedon Avouris

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

Reflectance and transmittance of graphene in the optical region are analyzed as a function of frequency, temperature, and carrier density. We show that the optical graphene properties are determined by the direct interband electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. A. Falkovsky

We use suspended graphene electromechanical resonators to study the variation of resonant frequency as a function of temperature. Measuring the change in frequency resulting from a change in tension, from 300 K to 30 K, allows us to extract…

Mesoscale and Nanoscale Physics · Physics 2010-04-13 Vibhor Singh , Shamashis Sengupta , Hari S. Solanki , Rohan Dhall , Adrien Allain , Sajal Dhara , Prita Pant , Mandar M. Deshmukh

Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

Graphene is a recently discovered carbon based material with unique physical properties. This is a monolayer of graphite, and the two-dimensional electrons and holes in it are described by the effective Dirac equation with a vanishing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Mikhailov , K. Ziegler

We compute the magnetization of graphene in a magnetic field, taking into account for generality the possibility of a mass gap. We concentrate on the physical regime where quantum oscillations are not observed due to the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Sergey Slizovskiy , Joseph Betouras
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