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Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here we show that in viscous flows interactions facilitate transport, allowing conductance to exceed the fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

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…

We measure electronic transport through point contacts in the high-mobility electron gas in a Ga[Al]As heterostructure at different temperatures and bulk electron densities. The conductance through all point contacts increases with…

Mesoscale and Nanoscale Physics · Physics 2021-06-03 Lev V. Ginzburg , Carolin Gold , Marc P. Röösli , Christian Reichl , Matthias Berl , Werner Wegscheider , Thomas Ihn , Klaus Ensslin

Hydrodynamic electron transport in solids, governed by momentum-conserving electron-electron collisions, offers a unique framework to explore collective phenomena. Within this framework, correlated electron motion is modeled as viscous…

We study hydrodynamic electron transport in Corbino graphene devices. Due to the irrotational character of the flow, the forces exerted on the electron liquid are expelled from the bulk. We show that in the absence of Galilean invariance,…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Songci Li , Alex Levchenko , A. V. Andreev

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

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Strongly interacting electrons in clean two-dimensional devices are theorized to exhibit many distinct transport regimes, such as ballistic, hydrodynamic, or diffusive. Realistic samples often lie in crossover regimes between these…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Jack H. Farrell , Andrew Lucas

The physical mechanism of superconductivity is proposed on the basis of carrier-induced dynamic strain effect. By this new model, superconducting state consists of the dynamic bound state of superconducting electrons, which is formed by the…

Superconductivity · Physics 2010-12-07 Xue-Shu Zhao , Yu-Ru Ge , Xin Zhao , Hong Zhao

In sufficiently clean materials where electron-electron interactions are strong compared to momentum-relaxing scattering processes, electron transport resembles the flow of a viscous fluid. We study hydrodynamic electron transport across…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Ramal Afrose , Aydin Cem Keser , Oleg Sushkov , Shaffique Adam

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

The wave-like nature of electrons leads to the existence of upper bounds on the thermoelectric response of nanostructured devices [R. S. Whitney, Phys. Rev. Lett. 112, 130601 (2014); Phys. Rev. B 91, 115425 (2015)]. This fundamental result,…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 Giuseppe Bevilacqua , Alessandro Cresti , Giuseppe Grosso , Guido Menichetti , Giuseppe Pastori Parravicini

Hydrodynamic electron transport arises when carrier kinetics are dominated by interelectron collisions rather than the relaxation of momentum out of the electron system. In recent years, signatures of electron hydrodynamics have been…

Magnetohydrodynamic (MHD) flow of liquid metals through conduits play an important role in the proposed systems for harnessing fusion energy, and various other engineering and scientific problems. The interplay between the magnetic fields…

Computational Physics · Physics 2022-07-12 Eman Yahia , Kannan Premnath

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

Recent experiments have observed hints of hydrodynamic electron flow in a number of materials, not all of which have an isotropic Fermi surface. We revisit these experiments in $\mathrm{PdCoO}_2$, a quasi-two-dimensional material whose…

Strongly Correlated Electrons · Physics 2019-07-03 Caleb Q. Cook , Andrew Lucas

Fluid dynamics is one of the cornerstones of modern physics and has recently found applications in the transport of electrons in solids. In most solids electron transport is dominated by extrinsic factors, such as sample geometry and…

Electron hydrodynamics encompasses the exotic fluid-like behavior of electrons in two-dimensional materials such as graphene. It accounts for superballistic conduction, also known as the Gurzhi effect, where increasing temperature reduces…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Jorge Estrada-Álvarez , Elena Díaz , Francisco Domínguez-Adame

The electron transport in a four-terminal nanodevice consisting of two crossed nanotubes is investigated in the framework of the Landauer-Buttiker formalism. The evident formula for the ballistic conductance of the device is found using a…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Viktor Margulis , Mikhail Pyataev

We review recent advances in experimental and theoretical understanding of spin transport in strongly interacting Fermi gases. The central new phenomenon is the observation of a lower bound on the (bare) spin diffusivity in the strongly…

Quantum Gases · Physics 2019-03-13 Tilman Enss , Joseph H. Thywissen
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