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Hydrodynamics is a new paradigm of electron transport in high-mobility devices, where frequent electron collisions give rise to a collective electron flow profile. However, conventional descriptions of these flows, which are based on the…

Mesoscale and Nanoscale Physics · Physics 2025-03-19 Nitay Ben-Shachar , Johannes Hofmann

A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of…

Other Condensed Matter · Physics 2018-03-20 Zhiyuan Sun , D. N. Basov , M. M. Fogler

The wave equation describing the interaction of two electrons in graphene at arbitrary value of the Fermi energy $E_F$ is derived. For the solutions of this equation, we have found the explicit forms of the density and the current which…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 A. I. Milstein , I. S. Terekhov

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…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. A. Mikhailov

We reveal a dramatic departure of electron thermodiffusion in solids relative to the commonly accepted picture of the ideal free-electron gas model. In particular, we show that the interaction with the lattice and impurities, combined with…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Deng Pan , Hongxing Xu , F. Javier García de Abajo

Systems in which interparticle interactions prevail can be described by hydrodynamics. This regime is typically difficult to access in the solid state for electrons. However, the high purity of encapsulated graphene combined with its…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Johannes Geurs , Youngwook Kim , Kenji Watanabe , Takashi Taniguchi , Pilkyung Moon , Jurgen H. Smet

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

In conductors with a very small density of defects, electrons at low temperatures collide predominantly with the edges of a sample. Therefore, the ballistic regime of charge and heat transport is realized. The application of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

The generalised hydrodynamic theory of an electron gas, which does not rely on an assumption of a local equilibrium, is derived as the long-wave limit of a kinetic equation. Apart from the common hydrodynamics variables the theory includes…

Soft Condensed Matter · Physics 2009-10-31 I. Tokatly , O. Pankratov

Inspired by the recent experimental signatures of relativistic hydrodynamics in graphene, we investigate theoretically the behavior of hydrodynamic sound modes in such quasi-relativistic fluids near charge neutrality, within linear…

Strongly Correlated Electrons · Physics 2016-07-06 Andrew Lucas

Modern two dimensional conductors with low defect densities and strong electron-electron scattering are favorable platforms for formation of a viscous fluid of conduction electrons. Electric properties of these systems are determined by the…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 A. N. Afanasiev , P. S. Alekseev

The wetting properties of graphene have proven controversial and difficult to assess. The presence of a graphene layer on top of a substrate does not significantly change the wetting properties of the solid substrate, suggesting that a…

Soft Condensed Matter · Physics 2017-02-10 Bijoyendra Bera , Noushine Shahidzadeh , Himanshu Mishra , Daniel Bonn

Graphene is a novel two-dimensional material with fascinating electrodynamic properties like the ability to support collective electron oscillations (plasmons) accompanied by tight confinement of electromagnetic fields. Our goal is to…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Marinko Jablan

Recently, Feigel has predicted a new effect in magnetoelectric media. The theoretical evaluation of this effect requires a careful analysis of a dynamics of the moving magnetoelectric medium and, in particular, the derivation of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yuri N. Obukhov , Friedrich W. Hehl

We extract electron transport properties from atomistic simulations of a two-component plasma, by mapping the long-wavelength behaviour to a two-fluid model. The mapping procedure is performed via Markov Chain Monte Carlo sampling over…

Plasma Physics · Physics 2024-10-14 Pontus Svensson , Patrick Hollebon , Daniel Plummer , Sam M. Vinko , Gianluca Gregori

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…

The unsteady electrorotation of a drop of a viscous weakly conducting polarizable liquid suspended in another viscous weakly conducting polarizable liquid immiscible with the former in an applied constant uniform electric field is…

Fluid Dynamics · Physics 2017-10-11 Alexander N. Tyatyushkin

Collective excitations in graphene monolayer are studied. Equations describing collective properties of electrons in graphene are obtained. The basic ideas of the method of many-particle quantum hydrodynamics are used for the derivation. As…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Pavel A. Andreev

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

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…