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It is shown that the massless energy spectrum of electrons and holes in graphene leads to the strongly non-linear electromagnetic response of this system. We predict that the graphene layer, irradiated by electromagnetic waves, emits…

Mesoscale and Nanoscale Physics · Physics 2007-07-24 S. A. Mikhailov

An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

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

Scattering problem for electrons in monolayer graphene with short-range perturbations of the types "local chemical potential" and "local gap" has been solved. Zero gap and non-zero gap kinds of graphene are considered. The determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Natalie E. Firsova , Sergey A. Ktitorov

The use of Floquet theory combined with a realistic description of the electronic structure of illuminated graphene and graphene nanoribbons is developed to assess the emergence of non-adiabatic and non-perturbative effects on the…

Mesoscale and Nanoscale Physics · Physics 2013-03-13 Hernan L. Calvo , Pablo M. Perez-Piskunow , Horacio M. Pastawski , Stephan Roche , Luis E. F. Foa Torres

We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

We study electron scattering in graphene quantum dots (GQDs) under the combined influence of a magnetic field, an energy gap, and circularly polarized laser irradiation. Using the Floquet approach and the Dirac equation, we derive the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ahmed Bouhlal , Mohammed El Azar , Aotmane En Naciri , Elmustapha Feddi , Ahmed Jellal

We develop a microscopic theory of a strong electromagnetic field interaction with gated bilayer graphene. Quantum kinetic equations for density matrix are obtained using a tight binding approach within second quantized Hamiltonian in an…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 A. A. Avetisyan , A. P. Djotyan , K. Moulopoulos

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

Nonperturbative approach based on exact solution of Boltzmann kinetic equation in the relaxation time approximation is developed for the study of nonlinear response of electron-doped few-layer graphene to a high-frequency electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 D. V. Fil

We study the effect of strain on the band engineering in gapped graphene subject to external sources. By applying the Floquet theory, we determine the effective Hamiltonian of electron dressed by a linearly, circularly and an elliptically…

Mesoscale and Nanoscale Physics · Physics 2021-04-02 Hasna Chnafa , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

The diffusion of electron-hole pairs, which are excited in an intrinsic graphene by the ultrashort focused laser pulse in mid-IR or visible spectral region, is described for the cases of peak-like or spread over the passive region…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 F. T. Vasko , V. V. Mitin

An electrodynamic response of graphene to a strong electromagnetic radiation is considered. A hot electron model (HEM) is introduced and a corresponding system of nonlinear equations is formulated. Solutions of this system are found and…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. A. Mikhailov

We study the interaction of electrons in graphene with the quantized electromagnetic field in the presence of an applied uniform electric field using the Dirac model of graphene. Electronic states are represented by exact solutions of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 N. Yokomizo

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

Graphene exhibits extremely strong optical nonlinearity when a strong perpendicular magnetic field is applied, the response current shows strong field dependence even for moderate light intensity, and the perturbation theory fails. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 J. L. Cheng , C. Guo

We report on the effects of laser illumination on the electronic properties of bilayer graphene. By using Floquet theory combined with Green's functions we unveil the appeareance of laser-induced gaps not only at integer multiples of $\hbar…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 E. Suárez Morell , L. E. F. Foa Torres

We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry of radius $R$ and width $w$ subjected to a magnetic flux. We consider the case where the crystal symmetry is locally…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Abdelhadi Belouad , Ahmed Jellal , Hocine Bahlouli

The luminescence caused by the interband transitions of hot carriers in graphene is considered theoretically. The dependencies of emission in mid- and near-IR spectral regions versus energy and concentration of hot carriers are analyzed;…

Mesoscale and Nanoscale Physics · Physics 2010-12-09 F. T. Vasko , O. G. Balev
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