Electron hydrodynamics dilemma: whirlpools or no whirlpools
arXiv:1607.03726 · doi:10.1103/PhysRevB.94.155414
Abstract
In highly viscous electron systems such as, for example, high quality graphene above liquid nitrogen temperature, a linear response to applied electric current becomes essentially nonlocal, which can give rise to a number of new and counterintuitive phenomena including negative nonlocal resistance and current whirlpools. It has also been shown that, although both effects originate from high electron viscosity, a negative voltage drop does not principally require current backflow. In this work, we study the role of geometry on viscous flow and show that confinement effects and relative positions of injector and collector contacts play a pivotal role in the occurrence of whirlpools. Certain geometries may exhibit backflow at arbitrarily small values of the electron viscosity, whereas others require a specific threshold value for whirlpools to emerge.
References in corpus (26)
- Electronic transport in two dimensional graphene
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- 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
- Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
- Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
- Quantum critical transport in clean graphene
- Hydrodynamic electron flow in high-mobility wires
- Giant Nonlocality near the Dirac Point in Graphene
- Non-local transport and the hydrodynamic shear viscosity in graphene
- Hydrodynamic description of transport in strongly correlated electron systems
- Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
- Hydrodynamics in graphene: Linear-response transport
- Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
- Hydrodynamic model for electron-hole plasma in graphene
- Collective cyclotron motion of the relativistic plasma in graphene
- Collision-dominated nonlinear hydrodynamics in graphene
- Theory of the plasma-wave photoresponse of a gated graphene sheet
- A Corbino disk viscometer for 2D quantum electron liquids
- Pre-Turbulent Regimes in Graphene Flows
- Hydrodynamic theory of transport in doped graphene
- Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
- Hydrodynamic Model for Conductivity in Graphene
- Hydrodynamic effects in interacting Fermi electron jets
- Electrical plasmon detection in graphene waveguides
Cited by in corpus (63)
- Hydrodynamics of electrons in graphene
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Visualizing Poiseuille flow of hydrodynamic electrons
- Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
- Direct observation of vortices in an electron fluid
- Viscous electron fluids
- Hydrodynamic approach to electronic transport in graphene
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Hydrodynamic approach to two-dimensional electron systems
- Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
- Vorticity induced negative nonlocal resistance in viscous two-dimensional electron system
- Hydrodynamic and ballistic transport over large length scales in GaAs/AlGaAs
- Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
- Observation of current whirlpools in graphene at room temperature
- Stokes flow around an obstacle in viscous two-dimensional electron liquid
- Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
- Electron hydrodynamics with a polygonal Fermi surface
- Viscous magnetoresistance of correlated electron liquids
- Relativistic Lattice Boltzmann Methods: Theory and Applications
- Turbulent hydrodynamics in strongly correlated Kagome metals
- Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment
- Viscous magnetotransport and Gurzhi effect in bilayer electron system
- Electron hydrodynamics of anomalous Hall materials
- Counterflows in viscous electron-hole fluid
- Hydrodynamic and Ballistic AC transport in 2D Fermi Liquids
- Evidence for local spots of viscous electron flow in graphene at moderate mobility
- Prospects for the detection of electronic pre-turbulence in graphene
- Hydrodynamic electron flow in a Weyl semimetal slab: Role of Chern-Simons terms
- Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
- Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene
- Negative Viscosity and Eddy Flow of Imbalanced Electron-Hole Liquid in Graphene
- Precision measurement of electron-electron scattering in GaAs/AlGaAs using transverse magnetic focusing
- Nonlocal transport in Weyl semimetals in the hydrodynamic regime
- Lattice Boltzmann method for semiclassical fluids
- Universality in quantum critical flow of charge and heat in ultra-clean graphene
- Strongly coupled electron fluids in the Poiseuille regime
- Hydrodynamic charge and heat transport on inhomogeneous curved spaces
- Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
- Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
- Stokes flow analogous to viscous electron current in graphene
- Nonlocal conductivity, continued fractions and current vortices in electron fluids
- Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
- Conformal maps of viscous electron flow in the Gurzhi crossover
- Drag viscosity of metals and its connection to Coulomb drag
- Vorticity-induced anomalous Hall effect in electron fluid
- Numerical evidence of electron hydrodynamic whirlpools in graphene samples
- Magnetic hallmarks of viscous electron flow in graphene
- Charge carrier density noise in graphene: effect of localized/delocalized traps
- Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
- Strong suppression of electron convection in Dirac and Weyl semimetals
- Critical Viscosity of a Fluctuating Superconductor
- Superballistic boundary conductance and hydrodynamic transport in microstructures
- Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
- Nonlocal thermoelectric resistance in vortical viscous transport
- Pseudo-hydrodynamic flow of quasiparticles in semimetal WTe2 at room temperature
- Local heat current flow in ballistic phonon transport of graphene nanoribbons
- Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow
- Preturbulence in momentum-relaxing Navier-Stokes hydrodynamics
- Electron viscosity and device-dependent variability in four-probe electrical transport in ultra-clean graphene field-effect transistors
- Two-dimensional hydrodynamic viscous electron flow in annular Corbino rings
- Quantum Critical Ballistic Transport in Two-Dimensional Fermi Liquids
- Nonlinear Hall effect as a local probe of plasmonic magnetic hot spots
- Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field