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Detecting hydrodynamic fingerprints in the flow of electrons in solids constitutes a dynamic field of investigation in contemporary condensed matter physics. Most attention has been focused on the regime near the degeneracy temperature when…

Strongly Correlated Electrons · Physics 2021-01-11 Alexandre Jaoui , Benoît Fauqué , Kamran Behnia

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Shimizu

Electron hydrodynamics gives rise to surprising correlated behaviors in which electrons "cooperate" to quench dissipation and reduce the electric fields needed to sustain the flow. Such collective "free" flows are usually expected at the…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Qiantan Hong , Margarita Davydova , Patrick J Ledwith , Leonid Levitov

We report low-temperature electronic transport measurements performed in two multi-terminal Corbino samples formed in GaAs/Al-GaAs two-dimensional electron gases (2DEG) with both ultra-high electron mobility ($\gtrsim 20\times 10^6$…

We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Songci Li , A. V. Andreev , Alex Levchenko

The recent demonstrations of viscous hydrodynamic electron flow in two-dimensional electron systems poses serious questions to the validity of existing transport theories, including the ballistic model, the collision-induced and…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Kirill Kapralov , Dmitry Svintsov

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

A new approach to classical electrodynamics is presented, showing that it can be regarded as a particular case of the most general relativistic force field. In particular, at first it is shown that the structure of the Lorentz force comes…

General Relativity and Quantum Cosmology · Physics 2009-07-14 Stefano Re Fiorentin

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

We carry out a layer-by-layer investigation to understand electron transport across metal-insulator-metal junctions. Interfacial structures of junctions were studied and characterized using first-principles density functional theory within…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 Yun-Peng Wang , X. -G. Zhang , J. N. Fry , Hai-Ping Cheng

Spin hydrodynamic coupling is a recently discovered method to directly generate electricity from an electrically conducting fluid flow in the absence of Lorentz forces. This method relies on a collective coupling of electron spins - the…

Fluid Dynamics · Physics 2020-07-03 Hamid Tabaei Kazerooni , Alexander Thieme , Jörg Schumacher , Christian Cierpka

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…

Analysis of PDEs · Mathematics 2025-10-14 Benjamin Anwasia , Diogo Arsénio

Electron hydrodynamics arises when momentum-relaxing scattering processes are slow compared to momentum-conserving ones. While the microscopic details necessary to satisfy this condition are material-specific, experimentally accessible…

Materials Science · Physics 2022-04-14 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

We develop the theory of hydrodynamic electron transport in a long-range disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Songci Li , Alex Levchenko , A. V. Andreev

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 develop a Boltzmann-Langevin description of Coulomb drag effect in clean double-layer systems with large interlayer separation $d$ as compared to the average interelectron distance $\lambda_F$. Coulomb drag arises from density…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 W. Chen , A. V. Andreev , A. Levchenko

An isolated charge-neutral drop suspended in an unbounded medium does not migrate in a uniform DC electric field. A nearby wall breaks the symmetry and causes the drop to drift towards or away from the boundary, depending on the electric…

Fluid Dynamics · Physics 2025-04-25 Diptendu Sen , Mohammadhossein Firouznia , David Saintillan , Petia M. Vlahovska

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…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Kristof Moors , Oleksiy Kashuba , Thomas L. Schmidt

By using the time-dependent Ginzburg-Landau theory, we show that extremely diverse experimental data on flux-flow resistivity in multiband superconductors can be qualitatively explained by a composite nature of Abrikosov vortices consisting…

Superconductivity · Physics 2016-06-27 Artjom Vargunin , Mihail Silaev , Egor Babaev

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