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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

Charge transport in channel-shaped 2D Dirac systems is studied employing the Boltzmann equation. The dependence of the resistivity on temperature and chemical potential is investigated. An accurate understanding of the influence of…

介观与纳米尺度物理 · 物理学 2018-05-25 Oleksiy Kashuba , Björn Trauzettel , Laurens W. Molenkamp

The hydrodynamic regime of electron transport has been recently realized in conductors with ultra-low densities of defects. Although relaxation processes in two-dimensional (2D) fluids have been studied in many theoretical works, the…

介观与纳米尺度物理 · 物理学 2021-01-04 P. S. Alekseev , A. P. Dmitriev

The motion of the charged particles in graphen in the frame of the quantum non-local hydrodynamic description is considered. It is shown as results of the mathematical modeling that the mentioned motion is realizing in the soliton forms.…

综合物理 · 物理学 2012-11-28 Boris V. Alexeev , Irina V. Ovchinnikova

We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited…

偏微分方程分析 · 数学 2025-10-14 Benjamin Anwasia , Diogo Arsénio

The effect of the collision term of the Boltzmann equation is discussed for the diagonal conductivity in the absence of magnetic field and the off-diagonal conductivity within the linear order of magnetic field. The consistency between the…

超导电性 · 物理学 2021-04-02 Osamu Narikiyo

Fluid dynamics is one of the cornerstones of modern physics and has recently found applications in the transport of electrons in solids. In most solids electron transport is dominated by extrinsic factors, such as sample geometry and…

Hydrodynamic behavior in electronic systems is commonly accepted to be associated with extremely clean samples such that electron-electron collisions dominate and total momentum is conserved. Contrary to this, we show that in monolayer…

介观与纳米尺度物理 · 物理学 2019-02-28 Mohammad Zarenia , Alessandro Principi , Giovanni Vignale

Hot, dense phases of Dirac fermions - predicted to resemble relativistic plasma - are uniquely accessible through photoexcitation of pristine, charge neutral graphene. We demonstrate a sensitive temperature probe of the photoexcited Dirac…

介观与纳米尺度物理 · 物理学 2024-09-06 Jacky C. Wan , Trevor B. Arp , Nathaniel M. Gabor

An electrodynamic response of graphene to a strong electromagnetic radiation is considered. A hot electron model (HEM) is introduced and a corresponding system of nonlinear equations is formulated. Solutions of this system are found and…

介观与纳米尺度物理 · 物理学 2019-09-18 S. A. Mikhailov

The hydrodynamics of granular gases of viscoelastic particles, whose collision is described by an impact-velocity dependent coefficient of restitution, is developed using a modified Chapman-Enskog approach. We derive the hydrodynamic…

统计力学 · 物理学 2009-11-10 Nikolai Brilliantov , Thorsten Poeschel

An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

介观与纳米尺度物理 · 物理学 2018-04-26 S. A. Mikhailov

Electrons in graphene exhibit hydrodynamic behavior in a certain range of temperatures. We indicate that electric current in this regime can result in cooling of electron fluid due to the Joule-Thomson effect. Cooling occurs in the Fermi…

介观与纳米尺度物理 · 物理学 2020-02-19 K. Zarembo

In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system…

数值分析 · 数学 2024-01-02 Piotr Bartman , Krzysztof Bartosz , Michał Jureczka , Paweł Szafraniec

Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

介观与纳米尺度物理 · 物理学 2008-06-30 Kentaro Nomura , A. H. MacDonald

In clean Dirac electron systems such as graphene, electron-electron interactions can dominate over other relaxation mechanisms such as phonon or impurity scattering. In this limit, collective electron dynamics can be described by…

介观与纳米尺度物理 · 物理学 2026-01-29 Kristof Moors , Oleksiy Kashuba , Thomas L. Schmidt

We present here a general formulation for the interband dynamical optical conductivity in the nonlinear regime of graphene in the presence of a quantum bath comprising phonons and electrons. Our main focus is the relaxation behavior of the…

介观与纳米尺度物理 · 物理学 2023-07-10 Bristi Ghosh , Sushanta Dattagupta , Malay Bandyopadhyay

We theoretically investigate the frictional drag induced by the Coulomb interaction between spa- tially separated massless and massive fermions at low temperatures. As a model system, we use a double-layer structure composed of a…

介观与纳米尺度物理 · 物理学 2012-09-20 Benedikt Scharf , Alex Matos-Abiague

We study quasiparticle dynamics in graphene exposed to a linearly-polarized electromagnetic wave of very large intensity. Low-energy transport in such system can be described by an effective time-independent Hamiltonian, characterized by…

介观与纳米尺度物理 · 物理学 2014-02-18 S. V. Syzranov , Ya. I. Rodionov , K. I. Kugel , F. Nori

Materials subjected to a magnetic field exhibit the Hall effect, a phenomenon studied and understood in fine detail. Here we report a qualitative breach of this classical behavior in electron systems with high viscosity. The viscous fluid…

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