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Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

We report measurements of GaAs/AlGaAs undoped field-effect transistors in which two-dimensional electron gases (2DEGs) of exceptional quality and versatility are induced without modulation doping. Electron mobilities at T=4.2 K and density…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. R. Facer , B. E. Kane , A. S. Dzurak , R. J. Heron , N. E. Lumpkin , R. G. Clark , L. N. Pfeiffer , K. W. West

The electron-hole plasma in charge-neutral graphene is predicted to realize a quantum critical system whose transport features a universal hydrodynamic description, even at room temperature. This quantum critical "Dirac fluid" is expected…

Electrons in quantum matter behave like a fluid when the quantum-mechanical carrier-carrier scattering dominates over other relaxation mechanisms. By combining a microscopic treatment of electron-electron interactions within the random…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Indra Yudhistira , Ramal Afrose , Shaffique Adam

Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Iacopo Torre , Andrea Tomadin , Andre K. Geim , Marco Polini

Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior including negative nonlocal resistance, Poiseuille flow in…

Rejuvenation of hydrodynamic transport in solids provides a new window to study collective motion of electrons, where electrons behave like a viscous fluid akin to classical liquids. Experimental observations of such exotic states have not…

Quantum Physics · Physics 2022-09-13 Weiwei Chen , W. Zhu

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…

In interaction-dominated two-dimensional electron gases at intermediate temperatures, electron transport is not diffusive as in the conventional Drude picture but instead hydrodynamic. The relevant transport coefficient in this regime is…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Ulf Gran , Eric Nilsson , Johannes Hofmann

Recent advances in materials science have made it possible to achieve conditions under which electrons in metals start behaving as highly viscous fluids, "thicker than honey", and exhibit fascinating hydrodynamic effects. In this short…

Strongly Correlated Electrons · Physics 2020-06-02 Marco Polini , Andre K Geim

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

Nuclear Theory · Physics 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao

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

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

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 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

Continuum simulation is employed to study ion transport and fluid flow through a nanopore in a solid-state membrane under an applied potential drop. Results show the existence of concentration polarization layers on the surfaces of the…

Fluid Dynamics · Physics 2015-06-16 Mao Mao , Sandip Ghosal , Guohui Hu

The electronic analog of the Poiseuille flow is the transport in a narrow channel with disordered edges that scatter electrons in a diffuse way. In the hydrodynamic regime, the resistivity decreases with temperature, referred to as the…

Mesoscale and Nanoscale Physics · Physics 2020-05-13 G. M. Gusev , A. S. Jaroshevich , A. D. Levin , Z. D. Kvon , A. K. Bakarov

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

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
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