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Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Khachatur G. Nazaryan , Leonid Levitov

We have developed a theory of the anomalous Hall effect in two-dimensional electron gas in the case where the time of electron-electron collisions is much smaller than the transport relaxation time. The transition between the diffusion…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 D. S. Zohrabyan , M. M. Glazov

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

For over a hundred years, electron transport in conductive materials has been primarily described by the Drude model, which assumes that current flow is impeded primarily by momentum-relaxing collisions between electrons and extrinsic…

Strongly Correlated Electrons · Physics 2025-10-06 Aaron Hui , Brian Skinner

Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior including negative nonlocal resistance, Poiseuille flow in…

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

GaAs-based two-dimensional electron gases (2DEGs) show a wealth of remarkable electronic states, and serve as the basis for fast transistors, research on electrons in nanostructures, and prototypes of quantum-computing schemes. All these…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 M. P. Jura , M. A. Topinka , L. Urban , A. Yazdani , H. Shtrikman , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon

The description of electron-electron interactions in transport problems is both analytically and numerically difficult. Here we show that a much simpler description of electron transport in the presence of interactions can be achieved in…

Strongly Correlated Electrons · Physics 2009-11-11 Roberto D'Agosta , Massimiliano Di Ventra

Two-dimensional (2D) turbulence, despite being an idealization of real flows, is of fundamental interest as a model of the spontaneous emergence of order from chaotic flows. The emergence of order often displays critical behavior, whose…

Fluid Dynamics · Physics 2025-03-21 Filip Novotný , Marek Talíř , Šimon Midlik , Emil Varga

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

The ``flow'' of electric currents and heat in standard metals is diffusive with electronic motion randomized by impurities. However, for ultraclean metals, electrons can flow like water with their flow being described by the equations of…

Strongly Correlated Electrons · Physics 2023-03-28 Lars Fritz , Thomas Scaffidi

We present an overview of the measured transport properties of the two dimensional electron fluids in high mobility semiconductor devices with low electron densities, and of some of the theories that have been proposed to account for them.…

Disordered Systems and Neural Networks · Physics 2010-06-01 B. Spivak , S. V. Kravchenko , S. A. Kivelson , X. P. A. Gao

Theoretical and experimental studies have revealed that electrons in condensed matter can behave hydrodynamically, exhibiting fluid phenomena such as Stokes flow and vortices. Unlike classical fluids, preferred directions inside crystals…

Materials Science · Physics 2020-02-24 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Claudia Felser , Prineha Narang

Viscous electron flow exhibits exotic signatures such as superballistic conduction. In order to observe hydrodynamics effects, a 2D device where the current flow is as inhomogeneous as possible is desirable. To this end, we build three…

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

We investigate the critical transition from an inverse cascade of energy to a forward energy cascade in a two-dimensional magneto-hydrodynamic flow as the ratio of magnetic to mechanical forcing amplitude is varied. It is found that the…

Fluid Dynamics · Physics 2015-09-09 Kannabiran Seshasayanan , Alexandros Alexakis

We study the conductivity of a nondegenerate 2D electron liquid in a quantizing magnetic field for frequencies well below the cyclotron frequency. The conductivity is formed by electron transitions in which the energy of a photon goes to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Dykman , Leonid P. Pryadko

In this study, we present our experimental investigation on the magnetotransport properties of a two-dimensional electron system in GaAs quantum wells utilizing a variety of device geometries, including obstacles with thin barriers and…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 A. D. Levin , G. M. Gusev , A. S. Yaroshevich , Z. D. Kvon , A. K. Bakarov

Two-dimensional electron systems offer an appealing platform to explore long-lived excitations arising due to collinear carrier scattering enabled by phase-space constraints at the Fermi surface. Recently it was found that these effects can…

Strongly Correlated Electrons · Physics 2024-09-27 Serhii Kryhin , Leonid Levitov

We present simulations of an imaging mechanism that reveals the trajectories of electrons in a two-dimensional electron gas (2DEG), as well as simulations of the electron flow in zero and small magnetic fields. The end goal of this work is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Katherine E. Aidala , Robert E. Parrott , E. J. Heller , R. M. Westervelt