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A density-matrix formalism within the length gauge is developed for the purpose of calculating the nonlinear response of intrinsic bilayer graphene at terahertz frequencies. Employing a tight-binding model, we find that interplay between…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Riley McGouran , Ibraheem Al-Naib , Marc M. Dignam

We develop a density matrix formalism in the length gauge to calculate the nonlinear response of intrinsic monolayer graphene at terahertz frequencies. Employing a tight-binding model, we find that the interplay of the interband and…

Optics · Physics 2014-12-17 Ibraheem Al-Naib , J. E. Sipe , Marc M. Dignam

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

Bilayer graphene (BLG) has recently attracted a great deal of attention because of its electrically tunable energy gaps and its unusual electronic structure. In this Letter we present analytical and semi-analytical expressions, based on the…

Strongly Correlated Electrons · Physics 2009-12-03 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

It is well known that impurities play a central role in the linear and nonlinear response of graphene at optical and terahertz frequencies. In this work, we calculate the bands and intraband dipole connection elements for nitrogen-doped…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Roozbeh Anvari , Eugene Zaremba , Marc M. Dignam

We calculate the finite-frequency conductivity of bilayer graphene with a relative twist between the layers. The low frequency response at zero doping shows a flat conductivity with value twice that of the monolayer case and at higher…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Calvin J. Tabert , Elisabeth J. Nicol

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

The electronic bands of twisted bilayer graphene (TBLG) with a large-period moir\'e superlattice fracture to form narrow Bloch minibands that are spectrally isolated by forbidden energy gaps from remote dispersive bands. When these gaps are…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Vo Tien Phong , E. J. Mele

Focusing on the twist angle for the minimal commensurate structure, we perform nonperturbative calculations of electron dynamics in the twisted bilayer graphene (TBG) under intense laser fields. We show that the TBG exhibits enriched…

Strongly Correlated Electrons · Physics 2020-07-22 Tatsuhiko N. Ikeda

We consider the linear and nonlinear response of a weighted graphene sheet under the normal incidence of a plane electromagnetic wave in the form of a quasi-monochromatic pulse of long duration with a sharp edge and harmonic filling. The…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Michael V. Davidovich

One popular approach to prepare graphene is to grow them on transition metal substrates via chemical vapor deposition. By using the density functional theory with dispersion correction, we systematically investigate for the first time the…

Materials Science · Physics 2015-06-03 Jiaxin Zheng , Yangyang Wang , Lu Wang , Ruge Quhe , Zeyuan Ni , Wai-Ning Mei , Zhengxiang Gao , Dapeng Yu , Junjie Shi , Jing Lu

Tunneling conductance between two bilayer graphene (BLG) sheets separated by 2 nm-thick insulating barrier was measured in two devices with the twist angles between BLGs less than 1{\deg}. At small bias voltages, the tunneling occurs with…

We use an exact solution of the relaxation-time Boltzmann equation in a uniform AC electric field to describe the nonlinear optical response of graphene in the terahertz (THz). The cases of monolayer, bilayer and ABA-stacked trilayer…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 N. M. R. Peres , Yu. V. Bludov , Jaime E. Santos , Antti-Pekka Jauho , M. I. Vasilevskiy

Using the microscopic nonlinear quantum theory of interaction of strong coherent electromagnetic radiation with a gapped bilayer graphene is developed for high harmonic generation at low-energy photon excitation-induced Lifshitz…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 A. G. Ghazaryan , H. H. Matevosyan , Kh. V. Sedrakian

Recently the small-twist-angle (< 2{\deg}) bilayer graphene has received extraordinary attentions due to its exciting physical properties. Compared with monolayer graphene, the Brillouin zone folding in twisted bilayer graphene (TBG) leads…

Mesoscale and Nanoscale Physics · Physics 2020-12-24 Bingchen Deng , Chao Ma , Qiyue Wang , Shaofan Yuan , Kenji Watanabe , Takashi Taniguchi , Fan Zhang , Fengnian Xia

The microscopic quantum theory of nonlinear stimulated scattering of chiral particles in doped $AB$ stacked bilayer graphene on Coulomb field of charged impurities in the presence of strong coherent electromagnetic radiation is presented.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 A. G. Ghazaryan , Kh. V. Sedrakian

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…

We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

We calculate the \tco{polarization}-controlled Rayleigh scattering response of twisted bilayer graphene (tBLG) based on the continuum electronic band model developed by Bistritzer and MacDonald while considering its refinements which…

Mesoscale and Nanoscale Physics · Physics 2023-06-01 Disha Arora , Deepanshu Aggarwal , Sankalpa Ghosh , Rohit Narula

We present a study of the nonlinear optical response of twisted bilayer graphene. We discuss the contribution of the Berry phase to the non-linearity when inversion symmetry is broken, thus underlining the interplay between band and real…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 Leone Di Mauro Villari , Alessandro Principi
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