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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

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

Clean two-dimensional Fermi liquids are now known to exhibit an intermediate \emph{tomographic} regime, between ballistic and Navier--Stokes transport, caused by the anomalously slow relaxation of parity-odd multipolar deformations of the…

Strongly Correlated Electrons · Physics 2026-03-30 Davis Thuillier , Thomas Scaffidi

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

Hydrodynamic electrons in high-mobility graphene devices have demonstrated great potential in establishing an electronic analogue of relativistic quantum fluid in solid-state systems. One of the key requirements for observing viscous…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Richa P. Madhogaria , Aniket Majumdar , Nishant Dahma , Pritam Pal , Rishabh Hangal , Kenji Watanabe , Takashi Taniguchi , Arindam Ghosh

We extract electron transport properties from atomistic simulations of a two-component plasma, by mapping the long-wavelength behaviour to a two-fluid model. The mapping procedure is performed via Markov Chain Monte Carlo sampling over…

Plasma Physics · Physics 2024-10-14 Pontus Svensson , Patrick Hollebon , Daniel Plummer , Sam M. Vinko , Gianluca Gregori

We propose a hydrodynamic model to study the thermotransport properties of semiconductor electrons. From the semiclassical Boltzmann equation a set of balance equations is built for the relevant fields. The electron density, the electron…

Statistical Mechanics · Physics 2009-07-13 A. Rangel-Huerta , M. A. Rodriguez-Meza

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Philipp Heilmann , Pavlo V. Pyshkin , Björn Trauzettel

An increasing number of low carrier density materials exhibit a surprisingly large transport mean free path due to inefficient momentum relaxation. Consequently, charge transport in these systems is markedly non-ohmic but rather ballistic…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Tobias Holder , Raquel Queiroz , Thomas Scaffidi , Navot Silberstein , Asaf Rozen , Joseph A. Sulpizio , Lior Ella , Shahal Ilani , Ady Stern

In nanostructures with two-dimensional (2D) electrons and very low defect densities, a hydrodynamic transport regime has recently been realized. In this regime, 2D electrons form a viscous fluid due to frequent electron-electron collisions.…

Mesoscale and Nanoscale Physics · Physics 2026-03-04 Yu. O. Alekseev , P. S. Alekseev , A. P. Dmitriev

The concept of fluidic viscosity is ubiquitous in our everyday life and for it to arise the fluidic medium must necessarily form a continuum where macroscopic properties can emerge. While a powerful concept for tangible liquids,…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Sujatha Vijayakrishnan , Z. Berkson-Korenberg , J. Mainville , L. W. Engel , M. P. Lilly , K. W. West , L. N. Pfeiffer , G. Gervais

Electrical resistance usually originates from lattice imperfections. However, even a perfect lattice has a fundamental resistance limit, given by the Landauer conductance caused by a finite number of propagating electron modes. This…

When floating on a two-dimensional (2D) surface of superfluid $^{4}$He, electrons arrange themselves in 2D crystalline structure known as Wigner crystal. In channels, the boundaries interfere the crystalline order and in case of very narrow…

Mesoscale and Nanoscale Physics · Physics 2014-02-03 A. A. Vasylenko , V. R. Misko

In low-permeability rock, fluid and mineral transport occur in pores and fracture apertures at the scale of micrometers and below. At this scale, the presence of surface charge, and a resultant electrical double layer, may considerably…

Fluid Dynamics · Physics 2018-05-02 Asger Bolet , Gaute Linga , Joachim Mathiesen

Collisions of atoms and molecules with metal surfaces create electronic excitations in the metal, leading to nonadiabatic energy dissipation, inelastic scattering, and sticking. Mixed quantum-classical molecular dynamics simulation methods,…

We present a theory of out-of-equilibrium ultrafast spin dynamics in magnetic heterostructures based on the s-d model of ferromagnetism. Both in the bulk and across interfaces, the exchange processes between the itinerant s and the…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 Erlend G. Tveten , Arne Brataas , Yaroslav Tserkovnyak

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

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

Soft Condensed Matter · Physics 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

Thanks to electron-electron ($e$-$e$) collisions conserving momentum, metallic electron fluids are viscous. Yet, this viscosity is rarely detectable in bulk transport. Here, we report on the canonical realization of the Gurzhi effect in an…

Strongly Correlated Electrons · Physics 2026-04-22 Xiaodong Guo , Xiaokang Li , Benoît Fauqué , Alaska Subedi , Lingxiao Zhao , Zengwei Zhu , Kamran Behnia

We observe a large negative magnetoresistance and a decrease of resistivity with increasing temperature, known as the Gurzhi effect, in a bilayer electron (BL) system formed by a wide GaAs quantum well. A hydrodynamic model for the single…

Mesoscale and Nanoscale Physics · Physics 2021-02-11 G. M. Gusev , A. S. Jaroshevich , A. D. Levin , Z. D. Kvon , A. K. Bakarov
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