Hydrodynamic electron transport in graphene Hall-bar devices
arXiv:2202.10472 · doi:10.1103/PhysRevB.105.155307
Abstract
We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and gating leads to mixing between the hydrodynamic transport mode and transport relative to the electron liquid. For graphene systems near charge neutrality, these effects lead to strong coupling of the hydrodynamic flow to charge transport. As a result, the effective electrical conductivity of the system may significantly exceed the intrinsic conductivity of the electron liquid. We obtain analytic expressions for the thermoelectric transport coefficients of the system as a function of density in the full crossover region between clean and disorder-dominated regimes.
arXiv commentDedicated to Mark Azbel's 90-th birthday [9 pages, 3 figures]
References in corpus (38)
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Origin of Spatial Charge Inhomogeneity in 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
- 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
- Imaging viscous flow of the Dirac fluid in graphene
- Hydrodynamic electron flow in high-mobility wires
- Visualizing Poiseuille flow of hydrodynamic electrons
- Non-local transport and the hydrodynamic shear viscosity in graphene
- Nanoscale thermal imaging of dissipation in quantum systems
- Hydrodynamic description of transport in strongly correlated electron systems
- Higher-Than-Ballistic Conduction of Viscous Electron Flows
- Fluidity Onset in Graphene
- Transport in strongly correlated two dimensional electron fluids
- 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
- Effect of electron-electron interactions on the conductivity of clean graphene
- Hydrodynamics in graphene: Linear-response transport
- Conductivity of the defectless Graphene
- Viscous electron fluids
- Hydrodynamic approach to electronic transport in graphene
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Imaging resonant dissipation from individual atomic defects in graphene
- Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
- Transport properties of strongly coupled electron-phonon liquids
- Linking Spatial Distributions of Potential and Current in Viscous Electronics
- Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
- Conductivity of the classical two-dimensional electron gas
- Freely flowing currents and electric field expulsion in viscous electronics
- Electronic Thermal Transport Measurement in Low-Dimensional Materials with Graphene Nonlocal Noise Thermometry
- Hydrodynamic electron transport near charge neutrality
- Hydrodynamic approach to electronic transport in graphene: energy relaxation
- Hydrodynamic thermoelectric transport in Corbino geometry
Cited by in corpus (10)
- Hydrodynamic thermoelectric transport in Corbino geometry
- Universality in quantum critical flow of charge and heat in ultra-clean graphene
- Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
- Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
- Nonlocal thermoelectric resistance in vortical viscous transport
- Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
- Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
- Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
- Photogalvanic effect in hydrodynamic flows of nonreciprocal electron liquids
- Nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors