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We show that, by going beyond the low-energy approximation for which the dispersion relations of graphene are linear, the corresponding emergent field theory is a specific generalization a Dirac field theory. The generalized Dirac…

High Energy Physics - Theory · Physics 2019-10-04 Alfredo Iorio , Pablo Pais

We present perturbation theory for analysis of generic third-order nonlinear processes in graphene integrated photonic structures. Optical response of graphene is treated as the nonlinear boundary condition in Maxwell equations. The derived…

Optics · Physics 2016-07-13 Andrey V. Gorbach , Edouard Ivanov

The quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

The directional control of light in miniaturized plasmonic waveguides holds appealing possibilities for emerging nanophotonic technologies, but is hindered by the intrinsic reciprocal optical response of conventional plasmonic materials.…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Álvaro Rodríguez Echarri , F. Javier García de Abajo , Joel D. Cox

After deriving a general correspondence between linear response correlation functions in graphene with and without applied uniaxial strain, we study the dependence on the strain modulus and direction of selected electronic properties, such…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Ab initio density functional theory (DFT) simulations were used to investigate an influence of electric field, parallel to single and multilayer graphene on its electron dispersion relations close to K point. It was shown that for both…

Materials Science · Physics 2016-11-09 Stanisław Krukowski , Jakub Sołtys , Jolanta Borysiuk , Jacek Piechota

We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

Two-dimensional Graphene is fascinating because of its unique electronic properties. From a fundamental perspective, one among them is the geometric phase structure near the Dirac points in the Brillouin zone, owing to the SU(2) nature of…

Strongly Correlated Electrons · Physics 2020-07-23 Ankur Das , Sumiran Pujari

The existence of large nonlinear optical coefficients is one of the preconditions for using nonlinear optical materials in nonlinear optical devices. For a crystal, such large coefficients can be achieved by matching photon energies with…

Materials Science · Physics 2018-12-27 J. L. Cheng , J. E. Sipe , S. W. Wu , Chunlei Guo

We reveal that there exists a class of graphene structures (a sub-class of bilayer graphene nanoribbons) which has unusually strong optical response in the terahertz (THz) and far infrared (FIR) regime. The peak conductance of terahertz/FIR…

Mesoscale and Nanoscale Physics · Physics 2009-05-28 A. R. Wright , J. C. Cao , C. Zhang

We analyze the range of validity of Thomas Fermi theory for describing charge density modulations induced by external potentials in neutral graphene. We compare exact results obtained from a tight-binding calculation with those of linear…

Mesoscale and Nanoscale Physics · Physics 2010-09-07 L. Brey , H. A. Fertig

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

The non-linear response of infinite periodic solids to homogenous electric fields and collective atomic displacements is discussed in the framework of density functional perturbation theory. The approach is based on the 2n + 1 theorem…

Materials Science · Physics 2007-05-23 M. Veithen , X. Gonze , Ph. Ghosez

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

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. A. Kochetov , V. A. Osipov , R. Pincak

Nonlinear-optical refraction is typically described by means of perturbation theory near the material's equilibrium state. Graphene, however, can easily move far away from its equilibrium state upon optical pumping, yielding strong…

Optics · Physics 2020-02-14 David Castello-Lurbe , Hugo Thienpont , Nathalie Vermeulen

The second-order nonlinear optical susceptibility $\Pi^{(2)}$ for second harmonic generation is calculated for gapped graphene. The linear and second-order nonlinear plasmon excitations are investigated in context of second harmonic…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Yonatan Abranyos , Upali Aparajita , Oleksiy Roslyak

The graphene family materials are two-dimensional staggered monolayers with a gapped energy band structure due to intrinsic spin-orbit coupling. The mass gaps in these materials can be manipulated on-demand via biasing with a static…

Mesoscale and Nanoscale Physics · Physics 2021-03-18 Rajesh K. Malla , Wilton J. M. Kort-Kamp

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