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Using the recently developed polarization tensor in (2+1) dimensions for the electronic excitations of graphene, we investigate the influence of temperature on the surface plasmons on graphene. We consider non-zero mass gap, but zero…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 M. Bordag , I. Pirozhenko

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

The Casimir-Polder force acting on atoms and nanoparticles spaced at large separations from real graphene sheet possessing some energy gap and chemical potential is investigated in the framework of the Lifshitz theory. The reflection…

Quantum Physics · Physics 2023-08-08 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

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 Casimir interaction in a stack of equally spaced infinitely thin layers is investigated within the zero-frequency mode summation method. The response properties are considered to be described by a constant conductivity or by a…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

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 theoretically study the strain effect on the Casimir interactions in graphene based systems. We found that the interactions between two strained graphene sheets are strongly dependent on the direction of stretching. The influence of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-31 Anh D. Phan , The-Long Phan

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

The Casimir interaction between two thick parallel plates, one made of metal and the other of dielectric, is investigated at nonzero temperature. It is shown that in some temperature intervals the Casimir pressure and the free energy of a…

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

We investigate the role of surface plasmons in the electromagnetic Casimir effect at finite temperature, including situations out of global thermal equilibrium. The free energy is calculated analytically and expanded for different regimes…

Quantum Physics · Physics 2010-08-05 F. Intravaia , H. Haakh , C. Henkel

We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

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

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 investigate the dispersive Casimir-Polder interaction between a Rubidium atom and a suspended graphene sheet subjected to an external magnetic field B. We demonstrate that this concrete physical system allows for an unprecedented control…

Quantum Physics · Physics 2015-05-12 T. Cysne , W. J. M. Kort-Kamp , D. Oliver , F. A. Pinheiro , F. S. S. Rosa , C. Farina

We calculate the linear transverse current current response function for graphene at finite temperature and chemical potential. Within the Random Phase Approximation, we then discuss general aspects of transverse plasmons beyond the local…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 A. Gutiérrez-Rubio , T. Stauber , F. Guinea

The Casimir-Polder interaction between an atom and a multilayered system composed of infinitely thin planes is considered using the zeta-function regularization approach with summation of the zero-point energies. As a prototype material,…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

We investigate the fluctuation-induced Casimir interactions between two parallel graphene sheets carrying steady-state drift currents. The graphene properties are modeled based on the shifted Fermi disk model to capture the non-equilibrium…

Quantum Physics · Physics 2026-01-15 Modi Ke , Dai-Nam Le , Lilia M. Woods

The Casimir-Polder interaction of ground-state and excited atoms with graphene is investigated with the aim to establish whether graphene systems can be used as a shield for vacuum fluctuations of an underlying substrate. We calculate the…

Quantum Physics · Physics 2015-06-17 Sofia Ribeiro , Stefan Scheel

In this work the Casimir{Polder interaction energy between a rubidium atom and a disordered graphene sheet is investigated beyond the Dirac cone approximation by means of accurate real-space calculations. As a model of defected graphene, we…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 T. P. Cysne , T. G. Rappoport , Aires Ferreira , J. V. Lopes , N. M. R. Peres

We obtain the reflection coefficients from a graphene sheet deposited on a material substrate under a condition that graphene is described by the hydrodynamic model. Using these coefficients, the gradient of the Casimir force in the…

Other Condensed Matter · Physics 2015-01-19 G. L. Klimchitskaya , V. M. Mostepanenko