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Within the Dirac model for the electronic excitations of graphene, we calculate the full polarization tensor with finite mass and chemical potential. It has, besides the (00)-component, a second form factor, which must be accounted for. We…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 M. Bordag , I. G. Pirozhenko

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 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

The propagation of electromagnetic waves along the surface of a nonlinear dielectric covered by a graphene layer is investigated. The main result is that such a surface can support and stabilize nonlinear transverse electric (TE) plasmon…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Yuliy V. Bludov , Daria A. Smirnova , Yuri S. Kivshar , Nuno M. R. Peres , Mikhail I. Vasilevskiy

We study collective excitations in a helical electron liquid on a surface of three-dimensional topological insulator. Electron in helical liquid obeys Dirac-like equation for massless particless and direction of its spin is strictly…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 D. K. Efimkin , Yu. E. Lozovik , A. A. Sokolik

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

Transverse-electric (TE) surface plasmon polaritons are unique eigenmodes of a homogeneous graphene layer that are tunable with the chemical potential and temperature. However, as their dispersion curve spectrally lies just below the light…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Zeeshan Ahmad , Sang Soon Oh , Egor A. Muljarov

The recent developments in the emerging field of plasmonics in graphene and other Dirac systems are reviewed and a comprehensive introduction to the standard models and techniques is given. In particular, we discuss intrinsic plasmon…

Mesoscale and Nanoscale Physics · Physics 2014-03-10 T. Stauber

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

We derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 André J. Chaves , Diego R. Costa , Gil A. Farias , Nuno M. R. Peres

The dispersion relation for the collective plasma excitations of optically dressed Dirac electrons in single and double graphene layers is calculated in the random-phase approximation. The presence of circularly polarized light gives rise…

Materials Science · Physics 2015-05-27 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

Dispersion equations are a common paradigm of collective excitation physics. However, in some systems, dispersion equations contain multivalued functions and their solutions are ambiguous. As an example, we consider graphene on a polar…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 S. M. Kukhtaruk , V. A. Kochelap

The dispersion relation of surface plasmon polaritons in graphene that includes optical losses is often obtained for complex wave vectors while the frequencies are assumed to be real. This approach, however, is not suitable for describing…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Zeeshan Ahmad , Egor A. Muljarov , Sang Soon Oh

We discuss the properties of surface plasmons-polaritons in graphene and describe three possible ways of coupling electromagnetic radiation in the terahertz (THz) spectral range to this type of surface waves. (i) the attenuated total…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 Yu. V. Bludov , A. Ferreira , N. M. R. Peres , M. I. Vasilevskiy

We study surface waves localized near a surface of a semi-infinite dielectric medium covered by a layer of graphene in the presence of a strong external magnetic field. We demonstrate that both TE-TM hybrid surface plasmons can propagate…

Optics · Physics 2015-06-11 Ivan Iorsh , Ilya Shadrivov , Pavel Belov , Yuri Kivshar

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 behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

Electrodynamics of single-layer graphene is studied in the scaling regime. At any finite temperature, there is a weakly damped collective thermo-plasma polariton mode whose dispersion and wavelength dependent damping is determined…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Oskar Vafek

In this paper we study the excitation spectrum of single- and multi-layer graphene beyond the Dirac cone approximation. The dynamical polarizability of graphene is computed using a full $\pi$-band tight-binding model, considering the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

Surface plasmons in graphene may provide an attractive alternative to noble-metal plasmons due to their tighter confinement, peculiar dispersion, and longer propagation distance. We present theoretical studies of the nonlinear difference…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Xianghan Yao , Mikhail Tokman , Alexey Belyanin
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