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Nonlinear kinetic equations are reviewed for a wide audience of specialists and postgraduate students in physics, mathematical physics, material science, chemical engineering and interdisciplinary research. Contents: The Boltzmann equation,…

统计力学 · 物理学 2007-05-23 A. N. Gorban , I. V. Karlin

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…

光学 · 物理学 2018-12-27 J. L. Cheng , J. E. Sipe , N. Vermeulen , C. Guo

The unique optical properties of graphene, with broadband absorption and ultrafast response, make it a critical component of optoelectronic and spintronic devices. Using time-resolved momentum microscopy with high data rate and high dynamic…

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

高能物理 - 理论 · 物理学 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

Relativistic quantum theory of induced scattering of 2D Dirac particles by electrostatic field of impurity ion (in the Born approximation) in the doped graphene at the presence of an external electromagnetic radiation field (actually…

光学 · 物理学 2017-11-22 A. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , B. R. Avchyan

By combining continuum elasticity theory and tight-binding atomistic simulations, we work out the constitutive nonlinear stress-strain relation for graphene stretching elasticity and we calculate all the corresponding nonlinear elastic…

介观与纳米尺度物理 · 物理学 2010-06-04 Emiliano Cadelano , Pier Luca Palla , Stefano Giordano , Luciano Colombo

The one-dimensional nonlinear equations for the blood flow motion in distensible vessels are considered using the kinetic approach. It is shown that the Lattice Boltzmann (LB) model for non-ideal gas is asymptotically equivalent to the…

计算物理 · 物理学 2020-02-26 Oleg Ilyin

We use linear-response theory to evaluate the frequency-dependent conductivity of a system subject to a continuous quantum measurement of the current. Application of this formalism to graphene yields a consistent framework for discussing…

介观与纳米尺度物理 · 物理学 2013-05-29 J. Z. Bernad , M. Jaaskelainen , U. Zuelicke

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many…

高能物理 - 格点 · 物理学 2015-09-23 Christopher Winterowd , Carleton DeTar , Savvas Zafeiropoulos

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…

介观与纳米尺度物理 · 物理学 2014-09-23 N. M. R. Peres , Yu. V. Bludov , Jaime E. Santos , Antti-Pekka Jauho , M. I. Vasilevskiy

Using an enhanced optically heterodyned optical Kerr effect method and a theoretical description of the interactions between an optical beam, a single layer of graphene, and its substrate, we provide experimental answers to questions raised…

光学 · 物理学 2017-12-20 Evdokia Dremetsika , Pascal Kockaert

The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field…

统计力学 · 物理学 2009-11-10 V. Turkowski , J. K. Freericks

The next-nearest neighbor interaction (NNN) is included in a tight-binding calculation of the electronic spectrum and conductivity of doped graphene. As a result, we observe a wide variation of the conductivity behavior, since the Fermi…

材料科学 · 物理学 2015-10-12 J. E. Barrios-Vargas , Gerardo G Naumis

The phenomenological textbook equations for the charge and heat transport are extensively used in a number of fields ranging from semiconductor devices to thermoelectricity. We provide a rigorous derivation of transport equations by solving…

材料科学 · 物理学 2017-06-28 M. Battiato , V. Zlatic , K. Held

A theory of the nonlinear plasma waves in graphene is developed in the nonperturbative regime. The influence of strong electric fields on the position and linewidth of plasma resonances in the far-infrared transmission experiments, as well…

介观与纳米尺度物理 · 物理学 2018-01-31 S. A. Mikhailov

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…

光学 · 物理学 2016-07-13 Andrey V. Gorbach , Edouard Ivanov

Owing to its peculiar energy dispersion, the quantum capacitance property of graphene can be exploited in a two-dimensional layered capacitor configuration. Using graphene and boron nitride respectively as the electrodes and the insulating…

量子物理 · 物理学 2017-05-19 Sina Khorasani , Akshay Koottandavida

Two-dimensional materials constitute an exciting platform for nonlinear optics with large nonlinearities that are tunable by gating. Hence, gate-tunable harmonic generation and intensity-dependent refraction have been observed in e.g.…

介观与纳米尺度物理 · 物理学 2019-05-15 F. Hipolito , Darko Dimitrovski , T. G. Pedersen

Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

介观与纳米尺度物理 · 物理学 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

介观与纳米尺度物理 · 物理学 2015-04-15 R. R. Brandão , L. Moriconi