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Related papers: Second-order nonlinear optical response of graphen…

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Sub-wavelength graphene structures support localized plasmonic resonances in the terahertz and mid-infrared spectral regimes. The strong field confinement at the resonant frequency is predicted to significantly enhance the light-graphene…

Graphene is a two-dimensional material with strongly nonlinear electrodynamics and optical properties. We present some of our recent theoretical results on the quantum and non-perturbative quasi-classical theories of nonlinear effects in…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 S. A. Mikhailov , N. A. Savostianova

We predict nonlinear optical polarization rotation in two dimensional massless Dirac systems including graphene and 8-$Pmmn$ borophene. When illuminated, a continuous wave optical field leads to a nonlinear steady state of photo-excited…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Ashutosh Singh , Saikat Ghosh , Amit Agarwal

The finite momentum optical response $\sigma({\boldsymbol{q}},\omega)$ of graphene can be probed with the innovative technique of infrared nanoscopy where mid-infrared radiation is confined by an atomic force microscope cantilever tip. In…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 J. P. Carbotte , J. P. F. LeBlanc , E. J. Nicol

We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Alonso Contreras-Astorga , Vit Jakubsky , Alfredo Raya

The nonlinear responses of different materials provide useful mechanisms for optical switching, low noise amplification, and harmonic frequency generation. However, the nonlinear processes usually have an extremely weak nature and require…

Optics · Physics 2017-08-24 Boyuan Jin , Tianjing Guo , Christos Argyropoulos

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

The properties of surface plasmons localized at the interface between graphene and kerr-type nonlinear medium in three dimensions are investigated. Compared with surface plasmons at the surface of metal, with the inevitable nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Lei Wang , Wei Cai , Xinzheng Zhang , F. J. Garcia de Abajo , Jingjun Xu

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…

Electrically tunable graphene plasmons are anticipated to enable strong light-matter interactions with resonant quantum emitters. However, plasmon resonances in graphene are typically limited to infrared frequencies, below those of optical…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Joel D. Cox , F. Javier García de Abajo

Topological aspects of graphene are reviewed focusing on the massless Dirac fermions with/without magnetic field. Doubled Dirac cones of graphene are topologically protected by the chiral symmetry. The quantum Hall effect of the graphene is…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 Yasuhiro Hatsugai

Graphene's low-energy electronic excitations obey a 2+1 dimensional Dirac Hamiltonian. After extending this Hamiltonian to include interactions with a quantized electromagnetic field, we calculate the amplitude associated with the simplest,…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Matthew Mecklenburg , Jason Woo , B. C. Regan

For electron optics in graphene, the propagation effect has so far been the only physical mechanism available. The resulting electron-optics-based components are large in size and operate at low temperatures to avoid violating the ballistic…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Ruihuang Zhao , Pengcheng Wan , Ling Zhou , Di Huang , Haiqin Guo , Hao Xia , Junjie Du

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

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics. In particular, it represents an ideal…

Mathematical Physics · Physics 2025-05-16 William Borrelli , Umberto Morellini

At low energy, electrons in doped graphene sheets behave like massless Dirac fermions with a Fermi velocity which does not depend on carrier density. Here we show that modulating a two-dimensional electron gas with a long-wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 M. Gibertini , A. Singha , V. Pellegrini , M. Polini , G. Vignale , A. Pinczuk , L. N. Pfeiffer , K. W. West

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 U. Briskot , M. Schütt , I. V. Gornyi , M. Titov , B. N. Narozhny , A. D. Mirlin

Theory of nuclear magnetic resonance (NMR) in graphene is presented. The canonical form of the electron-nucleus hyperfine interaction is strongly modified by the linear electronic dispersion. The NMR shift and spin-lattice relaxation time…

Mesoscale and Nanoscale Physics · Physics 2009-05-19 Balázs Dóra , Ferenc Simon

Over the past twenty years, the field of plasmonics has been revolutionized with the isolation and utilization of two--dimensional materials, particularly graphene. Consequently there is significant interest in rapid, robust, and highly…

Numerical Analysis · Mathematics 2024-10-10 David Nicholls , Tianyu Zhu