Hydrodynamics, viscous electron fluid, and Wiedeman-Franz law in 2D semiconductors

Abstract

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 effects even in bulk transport properties independent of complicated transport features in narrow constrictions and small systems where Gurzhi phenomena are typically studied experimentally. We predict a strong hydrodynamics-induced generic violation of the Wiedeman-Franz law in bulk 2D GaAs systems for mobilities as modest as $10^6{\mathrm{cm}}^2/Vs$ and densities $1$-$5\times 10^{11}{\mathrm{cm}}^{-2}$ in the temperature range of $T=1$-$40K$.

5 pages, 5 figures

References in corpus (11)

• Hydrodynamics of electrons in graphene
• Ultra-high quality two-dimensional electron systems
• Limit to 2D mobility in modulation-doped GaAs quantum structures: How to achieve a mobility of 100 millions
• Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
• Hydrodynamic and ballistic transport over large length scales in GaAs/AlGaAs
• Understanding limits to mobility in ultra-high-mobility GaAs two-dimensional electron systems: The quest for 100 million cm${}^2$/Vs and beyond
• Viscous magnetotransport and Gurzhi effect in bilayer electron system
• Diffusion of photo-excited holes in viscous electron fluid
• Density-dependent two-dimensional optimal mobility in ultra-high-quality semiconductor quantum wells
• Interplay between phonon and impurity scattering in 2D hole transport
• The two-dimensional electron self-energy: Long-range Coulomb interaction

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• Wiedemann-Franz law in graphene in the presence of a weak magnetic field
• Hydrodynamics of electron-hole fluid photogenerated in a mesoscopic two-dimensional channel
• Micromagnets dramatically enhance effects of viscous hydrodynamic flow in two-dimensional electron fluid
• Current Noise of Hydrodynamic Electrons
• Driving Viscous Hydrodynamics in Bulk Electron Flow in Graphene Using Micromagnets
• Two-dimensional hydrodynamic electron flow through periodic and random potentials
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Anomalous Electronic Transport in High Mobility Corbino Rings
• Magnetic response of a two-dimensional viscous electron fluid
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• Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
• Two-dimensional hydrodynamic viscous electron flow in annular Corbino rings
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Odd relaxation in three-dimensional Fermi liquids
• Spectroscopy of Heat Transport and Violation of the Wiedemann--Franz Law in a GaAs Hydrodynamic Mesoscopic Channel
• Tunable viscous layers in Corbino geometry using density junctions