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The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 S. A. Mikhailov

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 present a theoretical framework for nonlinear optics of graphene and other 2D materials in layered structures. We derive a key equation to find the effective electric field and the sheet current density in the 2D material for given…

Optics · Physics 2018-12-27 J. L. Cheng , J. E. Sipe , N. Vermeulen , C. Guo

Graphene's exceptional nonlinear optical properties combined with resonant photonic structures offer a promising pathway for efficient nonlinear applications at terahertz (THz) frequencies. In this work, we propose and demonstrate a…

We propose an electrically tunable graphene-based metamaterial showing a large nonlinear optical response at THz frequencies, which we calculate analytically for the first time to our knowledge and arises from the intraband current. The…

Optics · Physics 2011-07-29 Haiming Dong , Claudio Conti , Fabio Biancalana

We consider the classical motion of a massless quasi-particle in a magnetic field and under a weak electromagnetic radiation with the frequency $\omega$. Due to the non-parabolic, linear energy dispersion, the particle responds not only at…

Mesoscale and Nanoscale Physics · Physics 2009-06-16 S. A. Mikhailov

The ability of graphene to support long-lived, electrically tunable plasmons that interact strongly with light, combined with its highly nonlinear optical response, has generated great expectations for application of the atomically-thin…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Joel D. Cox , Iván Silveiro , F. Javier García de Abajo

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

High Energy Physics - Theory · Physics 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

We study the interaction between polarized terahertz (THz) radiation and micro-structured large-area graphene in transmission geometry. In order to efficiently couple the radiation into the two-dimensional material, a lateral periodic…

Mesoscale and Nanoscale Physics · Physics 2015-07-06 C. Sorger , S. Preu , J. Schmidt , S. Winnerl , Y. V. Bludov , N. M. R. Peres , M. I. Vasilevskiy , H. B. Weber

We study graphene in a two-dimensional dynamical noncommutative space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second order of perturbation. The energy levels of the system are…

Quantum Physics · Physics 2022-06-17 Ilyas Haouam , S Ali Alavi

Graphene as a zero-bandgap two-dimensional semiconductor with a linear electron band dispersion near the Dirac points has the potential to exhibit very interesting nonlinear optical properties. In particular, third harmonic generation of…

Applied Physics · Physics 2018-01-31 Parvin Navaeipour , Ibraheem Al-Naib , Marc M. Dignam

We observe enhanced second-harmonic generation in monolayer graphene in the presence of an ultra-strong terahertz field pulse with a peak amplitude of 250 kV/cm. This is a strongly nonperturbative regime of light-matter interaction in which…

A theory of the nonlinear plasma waves in graphene is developed in the nonperturbative regime. The influence of strong electric fields on the position and linewidth of plasma resonances in the far-infrared transmission experiments, as well…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 S. A. Mikhailov

We present a practical scheme to separate the contributions of the electric quadrupole-like and the magnetic dipole-like effects to the forbidden second order optical nonlinear response of graphene, and give analytic expressions for the…

Materials Science · Physics 2017-03-08 J. L. Cheng , N. Vermeulen , J. E. Sipe

The graphene membrane irradiated by weak activating alternative electric field in terahertz range was considered. The quantum approach based on the time-dependent density matrix method was used. The exact solution was obtained for graphene…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 N. E. Firsova , Yu. A. Firsov

We theoretically investigate the ultrafast terahertz(THz) properties of monolayer graphene. The analytical formulations of the photon carrier, electric polarization and optical current are obtained by solving the Bloch-equations in present…

Mesoscale and Nanoscale Physics · Physics 2016-06-23 Q. Jin , H. M. Dong , K. Han , X. F. Wang

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

An analytical theory of the nonlinear electromagnetic response of a two-dimensional (2D) electron system in the second order in the electric field amplitude is developed. The second-order polarizability and the intensity of the second…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. A. Mikhailov

We consider the tight-binding approximation for the description of energy bands of graphene, together with the standard Boltzmann's transport equation and constant relaxation time, an expression for the conductivity was obtained. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-26 S. S. Abukari , S. Y. Mensah , R. Musah , N. G. Mensah , K. A. Dompreh

We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random…

Materials Science · Physics 2017-01-25 Habib Rostami , Mikhail I. Katsnelson , Marco Polini