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Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Yongrui Wang , Mikhail Tokman , Alexey Belyanin

Excitation of surface plasmon waves in extrinsic graphene is studied using a full-wave electromagnetic field solver as analysis engine. Particular emphasis is placed on the role played by spatial dispersion due to the finite size of the…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Davide Mencarelli , Stefano Bellucci , Antonello Sindona , Luca Pierantoni

The two-dimensionality of graphene and other layered materials can be exploited to simplify the theoretical description of their plasmonic and polaritonic modes. We present an analytical theory that allows us to simulate these excitations…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Renwen Yu , Joel D. Cox , J. R. M. Saavedra , F. Javier García de Abajo

Graphene-based hyperbolic metamaterials have been predicted to transport evanescent fields with extraordinarily large vacuum wave-vectors. It is particularly at much higher wave vector values that the commonly employed descriptional models…

Applied Physics · Physics 2019-03-27 Illya I. Tarasenko , A. Freddie Page , Joachim M. Hamm , Ortwin Hess

Intense efforts have been made in recent years to realize nonlinear optical interactions at the single-photon level. Much of this work has focused on achieving strong third-order nonlinearities, such as by using single atoms or other…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Marco T. Manzoni , Iván Silveiro , F. Javier García de Abajo , Darrick E. Chang

A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-phase and bi-phase solids is presented. The framework belongs to the embedded-boundary techniques and its novelty regards the spatial…

Numerical Analysis · Mathematics 2022-05-11 Vincenzo Gulizzi , Robert Saye

The suite of highly confined polaritons supported by two-dimensional (2D) materials constitutes a versatile platform for nano-optics, offering the means to channel light on deep-subwavelength scales. Graphene, in particular, has attracted…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 T. P. Rasmussen , P. A. D. Gonçalves , Sanshui Xiao , Sebastian Hofferberth , N. Asger Mortensen , Joel D. Cox

Nonlinear light-matter interactions are typically enhanced by increasing the local field and its interaction time with matter. Conventional methods to achieve these goals are based on resonances or slow-light effects. However, these methods…

We report a linear-scaling numerical method for exploring nonequilibrium electron dynamics in systems of arbitrary complexity. Based on the Chebyshev expansion of the time evolution of the single-particle density matrix, the method gives…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Luis M. Canonico , Stephan Roche , Aron W. Cummings

A distant-neighbor quantum-mechanical method is used to study the nonlinear optical wave mixing in graphene nanoflakes (GNFs), including sum- and difference-frequency generation, as well as four-wave mixing. Our analysis shows that…

Optics · Physics 2022-03-11 Hanying Deng , Changming Huang , Yingji He , Fangwei Ye

Plasmon oscillations have been intensively studied for more than forty years in conventional two-dimensional electron gas systems in order to find new alternatives to the vacuum devices based on the Smith-Purcell effect in the far-infrared…

A non-perturbative model for graphene optical nonlinearity is developed for the study of ultrafast pulse propagation along a monolayer, as in the case of graphene-comprising nanophotonic integrated waveguides. This graphene `hot electron'…

Optics · Physics 2022-03-18 Alexandros Pitilakis , Emmanouil E. Kriezis

Practical applications of graphene require a reliable high-throughput method of graphene identification and quality control, which can be used for large-scale substrates and wafers. We have proposed and experimentally tested a fast and…

Materials Science · Physics 2011-06-21 Craig M. Nolen , Giovanni Denina , Desalegne Teweldebrhan , Bir Bhanu , Alexander A. Balandin

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

We have developed an analytical formulation to calculate the plasmon dispersion relation for a two-dimensional layer which is encapsulated within a narrow spatial gap between two bulk half-space plasmas. This is based on a solution of the…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Godfrey Gumbs , Norman J. M. Horing , Andrii Iurov , Dipendra Dahal

The dispersion relation of surface plasmon polaritons in graphene that includes optical losses is often obtained for complex wave vectors while the frequencies are assumed to be real. This approach, however, is not suitable for describing…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Zeeshan Ahmad , Egor A. Muljarov , Sang Soon Oh

Graphene, a two-dimensional material with a high mobility and a tunable conductivity, is uniquely suited for plasmonics. The frequency dispersion of plasmons in bulk graphene has been studied both theoretically and experimentally, whereas…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jared H. Strait , Parinita S. Nene , Wei-Min Chan , Christina Manolatou , Joshua W. Kevek , Sandip Tiwari , Paul L. McEuen , Farhan Rana

The ability to effectively guide electromagnetic radiation below the diffraction limit is of the utmost importance in the prospect of all-optical plasmonic circuitry. Here, we propose an alternative solution to conventional metal-based…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 P. A. D. Gonçalves , E. J. C. Dias , Sanshui Xiao , M. I. Vasilevskiy , N. Asger Mortensen , N. M. R. Peres

This paper is withdrawn by the authors. We theoretically examine graphene plasmon polaritons (GPP) supported by a sheet of graphene sandwiched between two dielectric media. The influence of the dielectric environment on GPP's is studied…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Thomas Christensen , Antti-Pekka Jauho , N. Asger Mortensen

We theoretically demonstrated and experimentally verified high-order radial spoof localized surface plasmon resonances supported by textured metal particles. Through an effective medium theory and exact numerical simulations, we show the…