Driving Viscous Hydrodynamics in Bulk Electron Flow in Graphene Using Micromagnets
arXiv:2312.04896 · doi:10.1103/PhysRevB.109.195402
Abstract
We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on the top of 2DEG. We analyse the viscous boundary layer and demonstrate anti-Poiseuille behaviour in this region. Furthermore we predict a longitudinal voltage modulation, where a periodic magnetic field generates a voltage term periodic in the direction of transport.From the experimental point of view we propose a method for a boundary-independent measurement of the viscosity of different electron fluids. The results are applicable to graphene away from the charge neutrality point and to semiconductors.
13 pages, 7 figures. V2: Typos fixed and additional discussion added. Analysis of the bulk flow expanded to include subleading corrections to the Navier-Stokes equation. The solution for the boundary layer has been generalized to finite slip length in Appendix B
References in corpus (43)
- 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
- Superballistic flow of viscous electron fluid through graphene constrictions
- Hydrodynamics of electrons in graphene
- Imaging viscous flow of the Dirac fluid in graphene
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Visualizing Poiseuille flow of hydrodynamic electrons
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Negative magnetoresistance in viscous flow of two-dimensional electrons
- Fluidity Onset in Graphene
- The boundary conditions of viscous electron flow
- Viscous electron fluids
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Viscous electron flow in mesoscopic two-dimensional electron gas
- Viscous transport and Hall viscosity in a two-dimensional electron system
- Observation of a cyclotron harmonic spike in microwave-induced resistances in ultraclean GaAs/AlGaAs quantum wells
- Hydrodynamic approach to two-dimensional electron systems
- Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
- Colossal negative magnetoresistance in a 2D electron gas
- Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
- Giant microwave photoresistivity in a high-mobility quantum Hall system
- Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
- Out-of-bounds hydrodynamics in anisotropic Dirac fluids
- Hydrodynamic effects in interacting Fermi electron jets
- Two-dimensional electron honey: highly viscous electron fluid in which transverse magnetosonic waves can propagate
- Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony
- Nonmonotonic magnetoresistance of a two-dimensional viscous electron-hole fluid in a confined geometry
- Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
- Hydrodynamic charge transport in GaAs/AlGaAs ultrahigh-mobility two-dimensional electron gas
- Counterflows in viscous electron-hole fluid
- Dynamo Effect and Turbulence in Hydrodynamic Weyl Metals
- Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
- Hydrodynamics, viscous electron fluid, and Wiedeman-Franz law in 2D semiconductors
- Evidence for local spots of viscous electron flow in graphene at moderate mobility
- The photoresponse of a two-dimensional electron gas at the second harmonic of the cyclotron resonance
- Wiedemann-Franz law in graphene
- Spin-vorticity coupling in viscous electron fluids
- Anti-Poiseuille flow in neutral graphene
- Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
- Geometric engineering of viscous magnetotransport in a two-dimensional electron system
- Micromagnets dramatically enhance effects of viscous hydrodynamic flow in two-dimensional electron fluid
- Magnetic response of a two-dimensional viscous electron fluid