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The dynamics of the diffusion flow of holes photoinjected into a mesoscopic GaAs channel of variable width, where they, together with background electrons, form a hydrodynamic electron-hole fluid, is studied using time-resolved…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 M. A. T. Patricio , G. M. Jacobsen , M. D. Teodoro , G. M. Gusev , A. K. Bakarov , Yu. A. Pusep

We study two-dimensional electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields,…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Eddwi H. Hasdeo , Johan Ekström , Edvin G. Idrisov , Thomas L. Schmidt

In absence of time-reversal symmetry, viscous electron flow hosts a number of interesting phenomena, of which we focus here on the Hall viscosity. Taking a step beyond the hydrodynamic definition of the Hall viscosity, we derive a…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Tobias Holder , Raquel Queiroz , Ady Stern

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only…

Strongly Correlated Electrons · Physics 2017-11-13 Aavishkar A. Patel , Richard A. Davison , Alex Levchenko

In ultra-clean 2d materials electron viscosity is as important as Ohmic dissipation and electron transport exhibits hydrodynamic features. Using a simple framework of Brinkman equations we find that hydrodynamic electron flows exhibit a…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Jarosław Pawłowski , Piotr Surówka , Konstantin Zarembo

Electron transport is conventionally determined by the momentum-relaxing scattering of electrons by the host solid and its excitations. The electrical resistance is set by geometrical factors and the resistivity, which is a microscopic…

Strongly Correlated Electrons · Physics 2016-04-27 Philip J. W. Moll , Pallavi Kushwaha , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie

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…

One of the main macroscopic differences between ordinary and highly viscous fluids is the lack of transverse sound in the first and possibility of its excitation in the second. In modern high-mobility conductors (Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 P. S. Alekseev , A. P. Alekseeva

Phase transitions are characterized by a sharp change in the type of dynamics of microparticles, and their description usually requires quantum mechanics. Recently, a peculiar type of conductors was discovered in which two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

Recent experimental observations of apparently hydrodynamic electronic transport have generated much excitement. However, the understanding of the observed non-local transport (whirlpool) effects and parabolic (Poiseuille-like) current…

Strongly Correlated Electrons · Physics 2020-06-02 Aaron Hui , Samuel Lederer , Vadim Oganesyan , Eun-Ah Kim

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 diffusion of photo-generated holes is studied in a high-mobility mesoscopic GaAs\ channel where electrons exhibit hydrodynamic properties. It is shown that the injection of holes into such an electron system leads to the formation of a…

Mesoscale and Nanoscale Physics · Physics 2022-04-04 Yu. A. Pusep , M. D. Teodoro , V. Laurindo , E. R. Cardozo de Oliveira , G. M. Gusev , A. K. Bakarov

In ultra-high quality two-dimensional (2D) materials the mean free paths of phonons and electrons relative to all mechanisms of scattering can be much greater than a size of a sample. In this case the most intensive type of scattering of…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 P. S. Alekseev , M. A. Semina

We develop a hydrodynamic theory for an electron system exhibiting the anomalous Hall effect, and show that an additional anomalous Hall effect is induced by a vorticity generated near boundaries. We calculate the momentum flux and force…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Hiroshi Funaki , Riki Toshio , Gen Tatara

Electron transport in clean 2D systems with weak electron-phonon (e-ph) coupling can transition from an Ohmic to a ballistic or a hydrodynamic regime. The ballistic regime occurs when electron-electron (e-e) scattering is weak whereas the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mani Chandra , Gitansh Kataria , Deshdeep Sahdev , Ravishankar Sundaraman

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

Electron vortices are the quintessential signature of a viscous electron fluid. For decades, their detection relied on indirect transport measurements with persistently debated interpretations. Recently, scanning magnetometry enabled direct…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Andrey A. Shevyrin , Askhat K. Bakarov , Arthur G. Pogosov

We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

It is shown that the classical commensurability phenomena in weakly modulated two-dimensional electron systems is a manifestation of the intrinsic properties of the correlation functions describing a homogeneous electron gas in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

Nonlocal resistance is studied in a two-dimensional system with a simultaneous presence of electrons and holes in a 20 nm HgTe quantum well. A large nonlocal electric response is found near the charge neutrality point (CNP) in the presence…

Mesoscale and Nanoscale Physics · Physics 2012-06-01 G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , A. D. Levin , N. N. Mikhailov , S. A. Dvoretsky