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We report non-local electrical measurements in a mesoscopic size two-dimensional (2D) electron gas in a GaAs quantum well in a hydrodynamic regime. Viscous electric flow is expected to be dominant when electron-electron collisions occur…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 A. D. Levin , G. M. Gusev , E. V. Levinson , Z. D. Kvon , A. K. Bakarov

In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature…

Mesoscale and Nanoscale Physics · Physics 2020-06-01 Sven Danz , Boris N. Narozhny

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Jack N. Engdahl , Aydın Cem Keser , Thomas Schmidt , Oleg P. Sushkov

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

Graphene hosts a unique electron system in which electron-phonon scattering is extremely weak but electron-electron collisions are sufficiently frequent to provide local equilibrium above liquid nitrogen temperature. Under these conditions,…

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…

Viscous electron fluids have emerged recently as a new paradigm of strongly-correlated electron transport in solids. Here we report on a direct observation of the transition to this long-sought-for state of matter in a high-mobility…

We present a hydrodynamic theory for electron-hole magnetotransport in graphene incorporating carrier-population imbalance, energy, and momentum relaxation processes. We focus on the electric response and find that the carrier and energy…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Hong-Yi Xie , Alex Levchenko

The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Songci Li , Alex Levchenko

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

The hydrodynamic behavior of electron fluids in a certain range of temperatures and densities is well established in graphene and in 2D semiconductor heterostructures. The hydrodynamic regime is intrinsically based on electron-electron…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Jack N. Engdahl , Aydin Cem Keser , Oleg P. Sushkov

Viscous electronics is an emerging field dealing with systems in which strongly interacting electrons behave as a fluid. Electron viscous flows are governed by a nonlocal current-field relation which renders the spatial patterns of current…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Gregory Falkovich , Leonid Levitov

It has been established that the Coulomb interactions can transform the electron gas into a viscous fluid. This fluid is realized in a number of platforms, including graphene and two-dimensional semiconductor heterostructures. The defining…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Aydin Cem Keser , Oleg Sushkov

Electrons and holes in clean, charge-neutral graphene behave like a strongly coupled relativistic liquid. The thermo-electric transport properties of the interacting Dirac quasiparticles are rather special, being constrained by an emergent…

Strongly Correlated Electrons · Physics 2017-08-23 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

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

The influence of magnetic impurities on the transport properties of graphene is investigated in the regime of strong applied electric fields. As a result of electron-hole pair creation, the response becomes nonlinear and dependent on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 Arnaud Demion , Alberto D. Verga

In highly viscous electron systems such as, for example, high quality graphene above liquid nitrogen temperature, a linear response to applied electric current becomes essentially nonlocal, which can give rise to a number of new and…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Francesco M. D. Pellegrino , Iacopo Torre , Andre K. Geim , Marco Polini

Spatially resolved transport in two-dimensional quantum materials can reveal dynamics which is invisible in conventional bulk transport measurements. We predict striking patterns in spatially inhomogeneous transport just above the critical…

Superconductivity · Physics 2023-04-07 Koushik Ganesan , Andrew Lucas
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