Freely flowing currents and electric field expulsion in viscous electronics

Abstract

Electronic fluids bring into hydrodynamics a new setting: equipotential flow sources embedded inside the fluid. Here we show that nonlocal relation between current and electric field due to momentum-conserving inter-particle collisions leads to a total or partial field expulsion from such flows. That results in freely flowing currents in the bulk and boundary jump in electric potential at current-injecting electrodes. We derive the appropriate boundary conditions, analyze current distribution in free flows, discuss how the field expulsion depends upon geometry of the electrode, and link the phenomenon to breakdown of conformal invariance.

arXiv comment5 pages, 2 figures

References in corpus (20)

• Negative local resistance caused by viscous electron backflow in graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Superballistic flow of viscous electron fluid through graphene constrictions
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Quantum critical transport in clean graphene
• Non-zero temperature transport near quantum critical points
• Measuring Hall Viscosity of Graphene's Electron Fluid
• Quantum critical scaling in graphene
• Hydrodynamic description of transport in strongly correlated electron systems
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Fluidity Onset in Graphene
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Hydrodynamics in graphene: Linear-response transport
• Scanning Gate Microscopy in a Viscous Electron Fluid
• A Corbino disk viscometer for 2D quantum electron liquids
• Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Electromagnetic properties of viscous charged fluids
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons

Cited by in corpus (28)

• Hydrodynamic approach to two-dimensional electron systems
• Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
• Unified description of the classical Hall viscosity
• Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
• Vorticity of viscous electronic flow in graphene
• Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
• Hydrodynamic thermoelectric transport in Corbino geometry
• Hydrodynamic electron transport in graphene Hall-bar devices
• Hydrodynamic magnetoresistance in graphene Corbino devices
• Electronic viscosity and energy relaxation in neutral graphene
• Corbino magnetoresistance in neutral graphene
• Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
• Current Noise of Hydrodynamic Electrons
• Superballistic boundary conductance and hydrodynamic transport in microstructures
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Two-dimensional hydrodynamic electron flow through periodic and random potentials
• Viscous flow through a finite-width slit: Boundary conditions and dissipation
• Anomalous Electronic Transport in High Mobility Corbino Rings
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
• Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
• Superscreening by a Retroreflected Hole Backflow in Tomographic Electron Fluids
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Two-dimensional hydrodynamic viscous electron flow in annular Corbino rings
• Corbino-Enhanced Supersonic Acoustic-Emission Threshold in a GaAs Two-Dimensional Electron System
• Spin-caloric resistance of Dirac plasma in a graphene Corbino device
• Tunable viscous layers in Corbino geometry using density junctions