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Electron-electron interactions in graphene are sufficiently strong to induce a correlated and momentum-conserving flow such that charge carriers behave similarly to the Hagen-Poiseuille flow of a classical fluid. In the current work, we…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 Wenhao Huang , Tathagata Paul , Kenji Watanabe , Takashi Taniguchi , Mickael L. Perrin , Michel Calame

We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of…

Strongly Correlated Electrons · Physics 2024-05-24 Aaron Hui , Calvin Pozderac , Brian Skinner

In novel ultra-pure materials electrons can form a viscous fluid, which is fundamentally different by its dynamics from the electron gas in ordinary conductors with significant density of defects. The shape of the non-stationary flow of…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 A. N. Afanasiev , P. S. Alekseev , A. A. Danilenko , A. A. Greshnov , M. A. Semina

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

The dynamics of the diffusion flow of holes photoinjected into a mesoscopic GaAs channel of variable width, where they, together with background electrons, form a hydrodynamic electron-hole fluid, is studied using time-resolved…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 M. A. T. Patricio , G. M. Jacobsen , M. D. Teodoro , G. M. Gusev , A. K. Bakarov , Yu. A. Pusep

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

At low temperatures, in very clean two-dimensional (2D) samples the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 P. S. Alekseev

Hydrodynamic electron flow is experimentally observed in the differential resistance of electrostatically defined wires in the two-dimensional electron gas in (Al,Ga)As heterostructures. In these experiments current heating is used to…

Condensed Matter · Physics 2009-10-22 M. J. M. de Jong , L. W. Molenkamp

In the context of describing electrons in solids as a fluid in the hydrodynamic regime, we consider a flow of electrons in a channel of finite width, i.e.~a Poiseuille flow. The electrons are accelerated by a constant electric field. We…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Johanna Erdmenger , Ioannis Matthaiakakis , Rene Meyer , David Rodríguez Fernández

Viscous fingering occurs in the flow of two immiscible, viscous fluids between the plates of a Hele-Shaw cell. Due to pressure gradients or gravity, the initially planar interface separating the two fluids undergoes a Saffman-Taylor…

Soft Condensed Matter · Physics 2009-10-31 Michael Widom , Jose A. Miranda

One of the main macroscopic differences between ordinary and highly viscous fluids is the lack of transverse sound in the first and possibility of its excitation in the second. In modern high-mobility conductors (Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 P. S. Alekseev , A. P. Alekseeva

Theoretically and experimentally, we study electroviscous phenomena resulting from charge-flow coupling in a nanoscale capillary. Our theoretical approach relies on Poisson-Boltzmann mean-field theory and on coupled linear relations for…

We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charge continuum is used. The relevant laws of physics are…

Soft Condensed Matter · Physics 2024-03-19 Jiashi Yang

We propose a protocol to identify spatial hallmarks of viscous electron flow in graphene and other two-dimensional viscous electron fluids. We predict that the profile of the magnetic field generated by hydrodynamic electron currents…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Karina A. Guerrero-Becerra , Francesco M. D. Pellegrino , Marco Polini

Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. However, investigation of these phenomena has been hampered by the lack of…

Mesoscale and Nanoscale Physics · Physics 2016-05-20 Leonid Levitov , Gregory Falkovich

The longitudinal transport problem (the current is applied parallel to some bias magnetic field) in type-II superconductors is analyzed theoretically. Based on analytical results for simplified configurations, and relying on numerical…

Superconductivity · Physics 2015-03-17 H. S. Ruiz , C. López , A. Badía-Majós

We theoretically study transport in two-dimensional semimetals. Typically, electron and hole puddles emerge in the transport layer of these systems due to smooth fluctuations in the potential. We calculate the electric response of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Michael Knap , Jay D. Sau , Bertrand I. Halperin , Eugene Demler

Hydrodynamics is a general description for the flow of a fluid, and is expected to hold even for fundamental particles such as electrons when inter-particle interactions dominate. While various aspects of electron hydrodynamics were…

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

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