Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene

Abstract

Electrons behave like a classical fluid with a momentum distribution function that varies slowly in space and time when the quantum mechanical carrier-carrier scattering dominates over all other scattering processes. Recent experiments in monolayer and bilayer graphene have reported signatures of such hydrodynamic electron behavior in ultra-clean devices. In this theoretical work, starting from a microscopic treatment of electron-electron, electron-phonon and electron-impurity interactions within the Random Phase Approximation, we demonstrate that monolayer and bilayer graphene both host two different hydrodynamic regimes. We predict that the hydrodynamic window in bilayer graphene is stronger than in monolayer graphene, and has a characteristic `v-shape' as opposed to a `lung-shape'. Finally, we collapse experimental data onto a universal disorder-limited theory, thereby proving that the observed violation of Wiedemann-Franz law in monolayers occurs in a regime dominated by impurity-induced electron-hole puddles.

6 pages, 4 figures

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Cited by in corpus (49)

• Measuring Hall Viscosity of Graphene's Electron Fluid
• Visualizing Poiseuille flow of hydrodynamic electrons
• Fluidity Onset in Graphene
• The boundary conditions of viscous electron flow
• Hydrodynamic approach to two-dimensional electron systems
• Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
• Reliable postprocessing improvement of van der Waals heterostructures
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Observation of current whirlpools in graphene at room temperature
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
• Emission of plasmons by drifting Dirac electrons: where hydrodynamics matters
• Commensurability Oscillations in One-Dimensional Graphene Superlattices
• Gauge phonon dominated resistivity in twisted bilayer graphene near magic angle
• Collision dominated, ballistic, and viscous regimes of terahertz plasmonic detection by graphene
• Ratchet effect in spatially modulated bilayer graphene: Signature of hydrodynamic transport
• Dissipation-enabled hydrodynamic conductivity in a tunable bandgap semiconductor
• Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
• Imaging of sub-$\mu$A currents in bilayer graphene using a scanning diamond magnetometer
• Enhanced higher harmonic generation from nodal topology
• Thermal transport in compensated semimetals: a mystery explained
• Prospects for the detection of electronic pre-turbulence in graphene
• Hydrodynamic electron flow in a Weyl semimetal slab: Role of Chern-Simons terms
• Wiedemann-Franz law in graphene
• Collective excitations in Weyl semimetals in the hydrodynamic regime
• Negative Viscosity and Eddy Flow of Imbalanced Electron-Hole Liquid in Graphene
• Phonon hydrodynamics in crystalline GeTe at low temperature
• Quantum Boltzmann equation for bilayer graphene
• Transition from acoustic plasmon to electronic sound in graphene
• Enhanced hydrodynamic transport in near magic angle twisted bilayer graphene
• Anisotropic non-linear optical response of nodal loop materials
• Terahertz magneto-optical properties of graphene hydrodynamic electron liquid
• Interlayer electron-hole friction in tunable twisted bilayer graphene semimetal
• Fate of electron beam in graphene: Coulomb relaxation or plasma instability?
• Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
• Effect of characteristic size on the collective phonon transport in crystalline GeTe
• Die Hard Holographic Phenomenology of Cuprates
• Observability of cyclotron resonance in the hydrodynamic regime of bilayer graphene
• Origin of the Temperature Collapse of the Electric Conductivity in Bilayer Graphene
• Hydrodynamic Navier-Stokes equations in two-dimensional systems with Rashba spin-orbit coupling
• Collision-dominated conductance in clean 2D metals
• Hydrodynamics of particle-hole symmetric systems: a quantum Monte Carlo study
• Simultaneous study of acoustic and optic phonon scattering of electrons and holes in undoped $\mathrm{GaAs}$/$\mathrm{A}{\mathrm{l}}_{\mathrm{x}}\mathrm{G}{\mathrm{a}}_{1-\mathrm{x}}\mathrm{As}$ heterostructures
• Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow
• 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
• Tunable viscous layers in Corbino geometry using density junctions
• Insulator-Metal Transition and Magnetic Crossover in Bilayer Graphene