Hydrodynamics in graphene: Linear-response transport

Abstract

We develop a hydrodynamic description of transport properties in graphene-based systems which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral leads to fast unidirectional thermalization and allows us to describe the system in terms of three macroscopic currents carrying electric charge, energy, and quasiparticle imbalance. Within this "three-mode" approximation we evaluate transport coeffcients in monolayer graphene as well as in double-layer graphene-based structures. The resulting classical magnetoresistance is strongly sensitive to the interplay between the sample geometry and leading relaxation processes. In small, mesoscopic samples the macroscopic currents are inhomogeneous which leads to linear magnetoresistance in classically strong fields. Applying our theory to double-layer graphene-based systems, we provide microscopic foundation for phenomenological description of giant magnetodrag at charge neutrality and find magnetodrag and Hall drag in doped graphene.

23 pages, 3 figures

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Cited by in corpus (118)

• 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
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Non-local transport and the hydrodynamic shear viscosity in graphene
• Coulomb drag
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Lecture notes on Generalised Hydrodynamics
• Fluidity Onset in 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
• Hydrodynamic approach to electronic transport in graphene
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• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Viscous electron flow in mesoscopic two-dimensional electron gas
• Hydrodynamic approach to two-dimensional electron systems
• Viscous transport and Hall viscosity in a two-dimensional electron system
• Magnetoresistance in two-component systems
• Electronic hydrodynamics in graphene
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• Hydrodynamic-to-ballistic crossover in Dirac fluid
• Giant magnetoresistance of Dirac plasma in high-mobility graphene
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Optical response of correlated electron systems
• Transversal magnetoresistance in Weyl semimetals
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
• Out-of-bounds hydrodynamics in anisotropic Dirac fluids
• Kinetic theory of transport for inhomogeneous electron fluids
• A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
• Universal linear and nonlinear electrodynamics of the Dirac fluid
• Magnetoresistance of compensated semimetals in confined geometries
• Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons
• Universal collisionless transport of graphene
• Hydrodynamic collective modes in graphene
• Viscous magnetoresistance of correlated electron liquids
• Linear magnetoresistance in compensated graphene bilayer
• Towards quantum-limited coherent detection of terahertz waves in charge-neutral graphene
• Observation of giant and tuneable thermal diffusivity of Dirac fluid at room temperature
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• Freely flowing currents and electric field expulsion in viscous electronics
• Sound waves and resonances in electron-hole plasma
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• Dissipation-enabled hydrodynamic conductivity in a tunable bandgap semiconductor
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• Breakdown of the Wiedemann-Franz law in AB-stacked bilayer graphene
• Relativistic Gurzhi effect in channels of Dirac materials
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• Counterflows in viscous electron-hole fluid
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Vorticity of viscous electronic flow in graphene
• Prospects for the detection of electronic pre-turbulence in graphene
• Thermal transport in compensated semimetals: a mystery explained
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene
• Hydrodynamic approach to electronic transport in graphene: energy relaxation
• Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
• Transport in bilayer graphene near charge neutrality: Which scattering mechanisms are important?
• Third-order optical conductivity of an electron fluid
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• Optical conductivity in graphene: hydrodynamic regime
• Hydrodynamic thermoelectric transport in Corbino geometry
• Hydrodynamics and the eigenstate thermalization hypothesis
• Resonant plasmonic terahertz detection in vertical graphene-base hot-electron transistors
• Spin-vorticity coupling in viscous electron fluids
• Hydrodynamic charge and heat transport on inhomogeneous curved spaces
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• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Plasmonic shock waves and solitons in a nanoring
• The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
• Valley and spin accumulation in ballistic and hydrodynamic channels
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Transport properties of multilayer graphene
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• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
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• Temperature Dependence of Electron Viscosity in Superballistic GaAs Point Contacts
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• Hydrodynamic Inverse Faraday Effect in Two Dimensional Electron Liquid
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• The shear viscosity of interacting graphene
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• Pseudo-hydrodynamic flow of quasiparticles in semimetal WTe2 at room temperature
• Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
• Bulk and shear viscosities in multicomponent 2D electron system
• Collision-dominated conductance in clean 2D metals
• Hydrodynamic approach to many-body systems: exact conservation laws
• Current induced and interaction driven Dirac-point drag of massless quasi-relativistic fermions
• Transition between scattering regimes of 2D electron transport
• Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
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• Fluctuation-induced giant magnetoresistance in charge-neutral graphene
• Geometric effects in the Dyakonov-Shur theory of Teraherz photodetection
• Slow interband recombination promotes an anomalous thermoelectric response of the $p-n$ junctions