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Graphene membrane irradiated by weak activating periodic electric field in terahertz range is considered. The corrected formula for the graphene quantum conductivity is found. The obtained formula gives complex conjugate results when…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 N. E. Firsova

We investigate the conductivity of graphene sheet deformed over a gate. The effect of the deformation on the conductivity is twofold: The lattice distortion can be represented as pseudovector potential in the Dirac equation formalism,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. V. Medvedyeva , Ya. M. Blanter

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

The density of states and the AC conductivity of graphene under uniform strain are calculated using a new Dirac Hamiltonian that takes into account the main three ingredients that change the electronic properties of strained graphene: the…

Mesoscale and Nanoscale Physics · Physics 2014-06-02 M. Oliva-Leyva , Gerardo G. Naumis

Intrinsic bilayer graphene is a gapless semimetal. Under the application of a bias field it becomes a semiconductor with a direct band gap that is proportional to the applied field. Under a layer-asymmetric strain (where the upper layer…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 J. A. Crosse

The linear electrodynamic properties of graphene -- the frequency-dependent conductivity, the transmission spectra and collective excitations -- are briefly outlined. The non-linear frequency multiplication effects in graphene are studied,…

Mesoscale and Nanoscale Physics · Physics 2009-05-27 S. A. Mikhailov

Graphene has been shown to exhibit a nonlinear response due to its unique band structure. In this paper, we study the terahertz (THz) response metallic armchair graphene nanoribbons, specifically current density and Rabi oscillations beyond…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Sawsan Daws , David R. Andersen

The linear energy dispersion of graphene electrons leads to a strongly nonlinear electromagnetic response of this material. We develop a general quantum theory of the third-order nonlinear local dynamic conductivity of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 S. A. Mikhailov

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

Graphene, Silicene, $\mathrm{MoS}_2$ and other similar two-dimensional structures have unusual electronic properties that lend themselves to exotic device applications. These properties emanate from the fact that the electrons are endowed…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Sushanta Dattagupta , Manvendra Singh

The transient evolution of carriers in an intrinsic graphene under ultrafast excitation, which is caused by the collisionless interband transitions, is studied theoretically. The energy relaxation due to the quasielastic acoustic phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 P. N. Romanets , F. T. Vasko

We study the interaction of graphene with ultrashort few femtosecond long optical pulse. For such a short pulse, the electron dynamics is coherent and is described within the tight-binding model of graphene. The interaction of optical pulse…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 Hamed Koochaki Kelardeh , Vadym Apalkov , Mark I. Stockman

The dynamical approach is applied to ballistic transport in mesoscopic graphene samples of length L and contact potential U. At times shorter than both relevant time scales, the flight time and \hslash/U, the major effect of the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. Lewkowicz , B. Rosenstein , D. Nghiem

For graphene (a Dirac material) it has been theoretically predicted and experimentally observed that DC resistivity is proportional to $ T^4$ when the temperature is much less than Bloch- Gr\"{u}neisen ($\Theta_{BG}$) temperature and T…

Strongly Correlated Electrons · Physics 2016-10-18 Luxmi Rani , Navinder Singh

Graphene placed in a magnetic field possesses an extremely high mid/far-infrared optical nonlinearity originating from its unusual band structure and selection rules for the optical transitions near the Dirac point. Here we study the linear…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 Xianghan Yao , Alexey Belyanin

Two-dimensional materials constitute an exciting platform for nonlinear optics with large nonlinearities that are tunable by gating. Hence, gate-tunable harmonic generation and intensity-dependent refraction have been observed in e.g.…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 F. Hipolito , Darko Dimitrovski , T. G. Pedersen

Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

We demonstrated theoretically that the renormalization of the electron energy spectrum near the Dirac point of graphene by a strong high-frequency electromagnetic field (dressing field) drastically depends on polarization of the field.…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 K. Kristinsson , O. V. Kibis , S. Morina , I. A. Shelykh

Graphene and other two-dimensional materials display remarkable optical properties, including a simple light transparency of $T \approx 1 - \pi \alpha$ for light in the visible region. Most theoretical rationalizations of this "universal"…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Daniel J. Merthe , Vitaly V. Kresin

Motivated by experiments confirming that the optical transparency of graphene is defined through the fine structure constant and that it could be fully explained within the relativistic Dirac fermions in 2D picture, in this article we…

Strongly Correlated Electrons · Physics 2018-11-28 Horacio Falomir , Marcelo Loewe , Enrique Muñoz , Alfredo Raya