Stokes flow around an obstacle in viscous two-dimensional electron liquid

Abstract

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 Gurzhi effect, distinct from conventional Ohmic behaviour. We studied experimentally an electronic analog of the Stokes flow around a disc immersed in a two-dimensional viscous liquid. The circle obstacle results in an additive contribution to resistivity. If specular boundary conditions apply, it is no longer possible to detect Poiseuille type flow and the Gurzhi effect. However, in flow through a channel with a circular obstacle, the resistivity decreases with temperature. By tuning the temperature, we observed the transport signatures of the ballistic and hydrodynamic regimes on the length scale of disc size. Our experimental results confirm theoretical predictions.

10 pages, 5 figures

References in corpus (22)

• Negative local resistance caused by viscous electron backflow in graphene
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Hydrodynamic electron flow in high-mobility wires
• Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
• Non-local transport and the hydrodynamic shear viscosity in graphene
• Hydrodynamic description of transport in strongly correlated electron systems
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• The boundary conditions of viscous electron flow
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Magnetoresistance in a High Mobility Two-Dimensional Electron Gas
• Violation of the Wiedemann-Franz law in clean graphene layers
• Viscous transport and Hall viscosity in a two-dimensional electron system
• Transport signatures of Hall viscosity
• Giant negative magnetoresistance in high-mobility 2D electron systems
• Vorticity induced negative nonlocal resistance in viscous two-dimensional electron system
• Stokes paradox in electronic Fermi liquids
• Magnetoresistance Induced by Rare Strong Scatterers in a High Mobility 2DEG
• A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
• Hydrodynamic effects in interacting Fermi electron jets
• Conductivity of the classical two-dimensional electron gas

Cited by in corpus (41)

• Direct observation of vortices in an electron fluid
• Hydrodynamic approach to two-dimensional electron systems
• Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
• Observation of current whirlpools in graphene at room temperature
• Viscosity of two-dimensional electrons
• Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
• Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
• Ratchet effect in spatially modulated bilayer graphene: Signature of hydrodynamic transport
• Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
• Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
• Nonlinear Schrodinger equation for a two-dimensional plasma: the analysis of solitons, breathers, and plane wave stability
• Anti-Poiseuille flow in neutral graphene
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Non-linear Transport Phenomena and Current-induced Hydrodynamics in Ultra-high Mobility Two-dimensional Electron Gas
• Conformal maps of viscous electron flow in the Gurzhi crossover
• Valley and spin accumulation in ballistic and hydrodynamic channels
• Temperature Dependence of Electron Viscosity in Superballistic GaAs Point Contacts
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Corbino magnetoresistance in neutral graphene
• Long distance electron-electron scattering detected with point contacts
• Heating of inhomogeneous electron flow in the hydrodynamic regime
• Micromagnets dramatically enhance effects of viscous hydrodynamic flow in two-dimensional electron fluid
• Current Noise of Hydrodynamic Electrons
• Spin and Valley Hall effects induced by asymmetric interparticle scattering
• Shear Bernstein modes in a two-dimensional electron liquid
• Obstacle-Induced Gurzhi Effect and Hydrodynamic Electron Flow in Two-Dimensional Systems
• Universal superdiffusive modes in charged two dimensional liquids
• Interaction dominated transport in 2D conductors: from degenerate to partially-degenerate regime
• Two-dimensional hydrodynamic electron flow through periodic and random potentials
• Viscous flow through a finite-width slit: Boundary conditions and dissipation
• Resistivity of non-Galilean invariant two dimensional Dirac system
• Magnetohydrodynamics and electro-electron interaction of massless Dirac fermions
• Viscous tweezers: controlling particle orientation with viscosity
• Bulk and shear viscosities in multicomponent 2D electron system
• Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow
• Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
• Quantum Heat Under the Microscope: A Perspective on Cryogenic Scanning Thermal Microscopy
• Joule heating and electronic Gurzhi effect in hydrodynamic differential transport in an electron liquid
• Electron Hydrodynamics and Bernoulli Effect in Venturi-Shaped 2D Systems
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas
• Corbino-Enhanced Supersonic Acoustic-Emission Threshold in a GaAs Two-Dimensional Electron System