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Optical harmonic generation occurs when high intensity light ($>10^{10}$W/m$^{2}$) interacts with a nonlinear material. Electrical control of the nonlinear optical response enables applications such as gate-tunable switches and frequency…

We present a formulation for the nonlinear optical response in gapped graphene, where the low-energy single-particle spectrum is modeled by massive Dirac theory. As a representative example of the formulation presented here, we obtain…

Strongly Correlated Electrons · Physics 2012-05-30 S. A. Jafari

Materials with massless Dirac fermions can possess exceptionally strong and widely tunable optical nonlinearities. Experiments on graphene monolayer have indeed found very large third-order nonlinear responses, but the reported variation of…

While the Dirac band structure of graphene has established it as a leading platform for ultrafast optoelectronics, its non-perturbative nonlinear response under intense excitation remains poorly understood. Here, we report ultrafast…

Optics · Physics 2026-04-27 Xiaolong Lv , Yu Zhang , Yuxuan Wei , Chuanshan Tian

Graphene is a recently discovered carbon based material with unique physical properties. This is a monolayer of graphite, and the two-dimensional electrons and holes in it are described by the effective Dirac equation with a vanishing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Mikhailov , K. Ziegler

Remarkable optical and electrical properties of two-dimensional (2D) materials, such as graphene and transition-metal dichalcogenide (TMDC) monolayers, offer vast technological potential for novel and improved optoelectronic nanodevices,…

Optics · Physics 2016-07-22 Martin Weismann , Nicolae C. Panoiu

We compute the nonlinear optical response of doped mono- and bilayer graphene using the full dispersion based on tight-binding models. The response is derived with the density matrix formalism using the length gauge and is valid for any…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 F. Hipolito , Alireza Taghizadeh , T. G. Pedersen

We present quantum-mechanical density-matrix formalism for calculating the nonlinear optical response of magnetized graphene, valid for arbitrarily strong magnetic and optical fields. We show that magnetized graphene possesses by far the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Xianghan Yao , Alexey Belyanin

Second-order nonlinear optical response allows to detect different properties of the system associated with the inversion symmetry breaking. Here, we use a second harmonic generation effect to investigate the alignment of a…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 E. A. Stepanov , S. V. Semin , C. R. Woods , M. Vandelli , A. V. Kimel , K. S. Novoselov , M. I. Katsnelson

Exploration of optical non-linear response of graphene predominantly relies on ultra-short time domain measurements. Here we propose an alternate technique that uses frequency modulated continuous wavefront optical fields, thereby probing…

Mesoscale and Nanoscale Physics · Physics 2019-03-18 Ashutosh Singh , Saikat Ghosh , Amit Agarwal

Graphene is a nonlinear material which can be used as a saturable absorber, frequency mixer and frequency multiplier. We investigate the third harmonic generation from graphene lying on different substrates, consisting of a dielectric…

Mesoscale and Nanoscale Physics · Physics 2017-02-09 N. A. Savostianova , S. A. Mikhailov

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

We consider the interaction of gapped graphene in the two-band approximation using an explicit time-dependent approach. In addition to the full high-order harmonic generation (HHG) spectrum, we also obtain the perturbative harmonic response…

Materials Science · Physics 2017-02-01 Darko Dimitrovski , Lars Bojer Madsen , Thomas Garm Pedersen

In this work, we present numerical results for the second and third order conductivities of the plain graphene and gapped graphene monolayers associated with the second and third harmonic generation, the optical rectification and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 G. B. Ventura , D. J. Passos , J. M. Viana Parente Lopes , J. M. B. Lopes dos Santos

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

Graphene is a unique platform for tunable opto-electronic applications thanks to its linear band dispersion, which allows electrical control of resonant light-matter interactions. Tuning the nonlinear optical response of graphene is…

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

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 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

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
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