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We present a theoretical description of the nonlinear response induced by an elliptically-polarized terahertz beam normally-incident on intrinsic and extrinsic metallic armchair graphene nanorib- bons. Our results show that using a…

Mesoscale and Nanoscale Physics · Physics 2017-02-27 Yichao Wang , David R. Andersen

We study the long wavelength limit of a spin 1/2 Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a non-perturbative way. We perform a mean field analysis and then include exactly the fluctuations. This…

Strongly Correlated Electrons · Physics 2009-10-31 D. C. Cabra , A. Dobry , G. L. Rossini

A model kinetic equation is solved exactly for a special stationary state describing nonlinear Couette flow in a low density system of inelastic spheres. The hydrodynamic fields, heat and momentum fluxes, and the phase space distribution…

Statistical Mechanics · Physics 2016-08-15 M. Tij , E. E. Tahiri , J. M. Montanero , V. Garzó , A. Santos , J. W. Dufty

The temporal dynamics of charge carriers determines the speed with which electronics can be realized in condensed matter, and their direct manipulation with optical fields promises electronic processing at unprecedented petahertz…

Inelastic phonon scattering in graphene field-effect transistors (FETs) is studied by numerically solving the Boltzmann transport equation in three dimensional real and phase spaces (x, kx, ky). A kink behavior due to ambipolar transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Jyotsna Chauhan , Jing Guo

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

A challenging problem in solving the Boltzmann equation numerically is that the velocity space is approximated by a finite region. Therefore, most methods are based on a truncation technique and the computational cost is then very high if…

Analysis of PDEs · Mathematics 2013-06-14 Minh-Binh Tran

We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as weight function the ultrarelativistic Fermi-Dirac distribution at rest. Later, we use…

Statistical Mechanics · Physics 2015-06-15 D. Oettinger , M. Mendoza , H. J. Herrmann

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 demonstrate that the broadband nonlinear optical response of graphene can be resonantly enhanced by more than an order of magnitude through hybridization with a plasmonic metamaterial,while retaining an ultrafast nonlinear response time…

Discovery of electron hydrodynamics in graphene system has opened a new scope of analytic calculations in condensed matter physics, which was traditionally well cultivated in science and engineering as a non-relativistic hydrodynamics and…

Strongly Correlated Electrons · Physics 2026-01-14 Thandar Zaw Win , Cho Win Aung , Gaurav Khandal , Sabyasachi Ghosh

In recent years, the investigation of nonlinear electromagnetic responses has received significant attention due to its potential for elucidating the quantum properties of matter. Although remarkable progress has been achieved in developing…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Anwei Zhang , C. M. Wang

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…

Graphene has recently been shown to possess giant nonlinearity; however, the utility of this nonlinearity is limited due to high losses and small interaction volume. We show that by performing waveguide engineering to graphene's…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Kelvin J. A. Ooi , Lay Kee Ang , Dawn T. H. Tan

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

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to…

High Energy Physics - Theory · Physics 2022-08-12 Juan Angel Casimiro Olivares , Ana Julia Mizher , Alfredo Raya

Scattering dynamics influence the graphenes transport properties and inhibits the charge carrier deterministic behaviour. The intra or inter-band scattering mechanisms are vital for graphenes optical conductivity response under specific…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Palash Saha , Bala Murali Krishna Mariserla

Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid…

Computational Physics · Physics 2019-07-31 Yifei Guan , Igor Novosselov

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

Mesoscale and Nanoscale Physics · Physics 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty

In recent years, there has been growing interest in non-Hermitian phenomena in low-symmetry conductors, particularly optical gain driven by electro-optic effects. Conventional semiclassical treatments typically attribute these effects to…

Optics · Physics 2025-12-09 Sylvain Lannebère , Nader Engheta , Mário G. Silveirinha