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Recently, much interest has emerged in fluid-like electric charge transport in various solid-state systems. The hydrodynamic behavior of the electronic fluid reveals itself as a decrease of the electrical resistance with increasing…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Young-Gwan Choi , Manh-Ha Doan , Gyung-Min Choi , Maxim N. Chernodub

We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 A. V. Andreev , Steven A. Kivelson , B. Spivak

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

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

We study Coulomb drag between an active layer with a clean electron liquid and a passive layer with a pinned electron lattice in the regime of fast intralayer equilibration. Such a two-fluid system offers an experimentally realizable way to…

Strongly Correlated Electrons · Physics 2019-12-17 Tobias Holder

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

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…

The sensitivity of charge, heat, or momentum transport to the sample geometry is a hallmark of viscous electron flow. Therefore, hydrodynamic electronics requires the detailed understanding of electron flow in finite geometries. The…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Egor I. Kiselev , Joerg Schmalian

We study hydrodynamic electron magnetotransport in graphene devices. We show that in these systems a distinct mechanism of magnetoresistance appears, which is absent in systems with Galilean-invariant electron liquid. The resulting…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Alex Levchenko , Songci Li , A. V. Andreev

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where the equilibration length of the electron liquid is shorter than the interlayer spacing the main contribution to the…

Strongly Correlated Electrons · Physics 2015-06-18 S. S. Apostolov , A. Levchenko , A. V. Andreev

We introduce a different perspective describing electron-phonon interactions in graphene based on curved space hydrodynamics. Interactions of phonons with charge carriers increase the electrical resistivity of the material. Our approach…

Materials Science · Physics 2017-02-15 Ilario Giordanelli , Miller Mendoza , Hans Herrmann

In this pedagogical review, we discuss how electrical resistance can arise in superconductors. Starting with the idea of the superconducting order parameter as a condensate wave function, we introduce vortices as topological excitations…

Superconductivity · Physics 2016-12-21 Bertrand I. Halperin , Gil Refael , Eugene Demler

We study the electron temperature profiles for an inhomogeneous electron flow in the hydrodynamic regime. We assume that the inhomogeneity is due to a weakly non-uniform distribution of the momentum relaxation time within a spherically…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Gu Zhang , Valentin Kachorovskii , Konstantin Tikhonov , Igor Gornyi

Electron hydrodynamics is currently known to emerge only when electron-electron interaction dominates over the momentum-nonconserving scatterings of electrons, where the electron transport is described by a hydrodynamic equation. Here we…

Mesoscale and Nanoscale Physics · Physics 2023-05-25 Junji Fujimoto , Wataru Koshibae , Sadamichi Maekawa

Hall effect in high-mobility 2D mesoscopic samples with hydrodynamic electron transport is related to manifestation of non-dissipative Hall viscosity at classical magnetic fields. However, the latter can be obscured by the particular…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 A. A. Grigorev , A. N. Afanasiev

We study the Langevin dynamics of flux lines of high--T$_c$ superconductors in the presence of random quenched pinning. The hydrodynamic theory for the densities is derived by starting with the microscopic model for the flux-line liquid.…

Condensed Matter · Physics 2009-10-22 Leo Radzihovsky , Erwin Frey

Considering theoretically the transition between hydrodynamic and ballistic regimes in 2D semiconductors, we show that electrons in high-mobility 2D GaAs are by far the best system for the direct observation of collective hydrodynamic…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Seongjin Ahn , Sankar Das Sarma

Obtaining rigorous and general results about the non-equilibrium dynamics of extended many-body systems is a difficult task. In quantum lattice models with short-range interactions, the Lieb-Robinson bound tells us that the spatial extent…

Statistical Mechanics · Physics 2023-06-07 Dimitrios Ampelogiannis , Benjamin Doyon

In very clean solid-state systems, where carrier-carrier interactions dominate over any other scattering mechanisms, the flow of electrons can be described within a hydrodynamic framework. In these cases, analogues of viscous fluid…

We consider a thin horizontal layer of a non-magnetic electrolyte containing a bulk solution of salt and carrying an electric current. The layer is bounded by two deformable free surfaces loaded with an insoluble surfactant and is placed in…

Fluid Dynamics · Physics 2023-10-10 Andrey Pototsky , Sergey A. Suslov