Magnetohydrodynamics in graphene: shear and Hall viscosities

Abstract

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on the kinetic theory combined with the renormalization group providing a unified description at arbitrary doping levels and non-quantizing magnetic fields. At charge neutrality, the Hall viscosity vanishes, while the field-dependent shear viscosity decays from its zero-field value saturating to a nonzero value in classically strong fields. Away from charge neutrality, the field-dependent viscosity coefficients tend to agree with the semiclassical expectation.

arXiv comment14 pages, 8 figures, published version (minor typos corrected, references updated)

References in corpus (57)

• Electronic Properties of Disordered Two-Dimensional Carbon
• Dirac cones reshaped by interaction effects in suspended graphene
• Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
• 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
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Fermi velocity engineering in graphene by substrate modification
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Superballistic flow of viscous electron fluid through graphene constrictions
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Quantum critical transport in clean graphene
• Measuring Hall Viscosity of Graphene's Electron Fluid
• The thermopower and Nernst Effect in graphene in a magnetic field
• Giant Nonlocality near the Dirac Point in Graphene
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Non-local transport and the hydrodynamic shear viscosity in graphene
• Quantum critical scaling in graphene
• Many-body interactions in quasi-freestanding graphene
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Hydrodynamic Electron Flow and Hall Viscosity
• Fluidity Onset in Graphene
• Slow imbalance relaxation and thermoelectric transport in graphene
• Enhanced Thermoelectric Power in Graphene: Violation of the Mott Relation By Inelastic Scattering
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Quantum-critical relativistic magnetotransport in graphene
• Hydrodynamics in graphene: Linear-response transport
• Conductivity of the defectless Graphene
• Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• The boundary conditions of viscous electron flow
• Collective cyclotron motion of the relativistic plasma in graphene
• Hydrodynamic approach to electronic transport in graphene
• Collision-dominated nonlinear hydrodynamics in graphene
• Scanning Gate Microscopy in a Viscous Electron Fluid
• Departure from the Wiedemann-Franz Law in WP${}_2$ Driven by Mismatch in $T$-square Resistivity Prefactors
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• A Corbino disk viscometer for 2D quantum electron liquids
• Coulomb interaction in graphene: Relaxation rates and transport
• Magnetoresistance in two-component systems
• Giant magneto-drag in graphene at charge neutrality
• Electron-electron interactions in the conductivity of graphene
• Coulomb drag in graphene: perturbation theory
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Out-of-bounds hydrodynamics in anisotropic Dirac fluids
• Holography of the Dirac Fluid in Graphene with two currents
• Effect of screening of the Coulomb interaction on the conductivity in the quantum Hall regime
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
• Magnetothermoelectric Response near Quantum Critical Points
• Negative Viscosity and Eddy Flow of Imbalanced Electron-Hole Liquid in Graphene

Cited by in corpus (46)

• Imaging viscous flow of the Dirac fluid in graphene
• Direct observation of vortices in an electron fluid
• Hydrodynamic approach to two-dimensional electron systems
• Electronic hydrodynamics in graphene
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Hydrodynamic collective modes in graphene
• Lift force in odd compressible fluids
• Hydrodynamical study of Terahertz emission in magnetized graphene field-effect transistors
• Viscometry of electron fluids from symmetry
• Boundary condition and geometry engineering in electronic hydrodynamics
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Vorticity of viscous electronic flow in graphene
• Hydrodynamic approach to electronic transport in graphene: energy relaxation
• Optical $N$-invariant of graphene's viscous Hall fluid
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Optical conductivity in graphene: hydrodynamic regime
• Anti-Poiseuille flow in neutral graphene
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Nonlocal conductivity, continued fractions and current vortices in electron fluids
• Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime
• Terahertz magneto-optical properties of graphene hydrodynamic electron liquid
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Temperature Dependence of Electron Viscosity in Superballistic GaAs Point Contacts
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Electronic viscosity and energy relaxation in neutral graphene
• Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
• Corbino magnetoresistance in neutral graphene
• Nonlinear density waves on graphene electron fluids
• Linear-in-temperature conductance in two-dimensional electron fluids
• Residual bulk viscosity of a disordered 2D electron gas
• Two-dimensional electron gases as non-Newtonian fluids
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Slip-induced odd viscous flow past a cylinder
• Shear viscosity expression for a graphene system in relaxation time approximation
• Obstacle-Induced Gurzhi Effect and Hydrodynamic Electron Flow in Two-Dimensional Systems
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Die Hard Holographic Phenomenology of Cuprates
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Resistivity of non-Galilean invariant two dimensional Dirac system
• Magnetohydrodynamics and electro-electron interaction of massless Dirac fermions
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Bulk and shear viscosities in multicomponent 2D electron system
• Time-reversal odd transport in bilayer graphene: Hall conductivity and Hall viscosity
• Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow
• Hydrodynamic electrons in Graphene: a viscous boundary-layer description