Hydrodynamic thermoelectric transport in Corbino geometry
arXiv:2112.08379 · doi:10.1103/PhysRevB.105.125302
Abstract
We study hydrodynamic electron transport in Corbino graphene devices. Due to the irrotational character of the flow, the forces exerted on the electron liquid are expelled from the bulk. We show that in the absence of Galilean invariance, force expulsion produces qualitatively new features in thermoelectric transport: (i) it results in drops of both voltage and temperature at the system boundaries and (ii) in conductance measurements in pristine systems, the electric field is not expelled from the bulk. We obtain thermoelectric coefficients of the system in the entire crossover region between charge neutrality and high electron density regime. The thermal conductance exhibits a sensitive Lorentzian dependence on the electron density. The width of the Lorentzian is determined by the fluid viscosity. This enables determination of the viscosity of electron liquid near charge neutrality from purely thermal transport measurements. In general, the thermoelectric response is anomalous: it violates the Matthiessen's rule, the Wiedemann-Franz law, and the Mott relation.
arXiv comment9 pages, 3 figures
References in corpus (45)
- 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
- Quantum critical transport in clean graphene
- Imaging viscous flow of the Dirac fluid in graphene
- Hydrodynamic electron flow in high-mobility wires
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Visualizing Poiseuille flow of hydrodynamic electrons
- Nanoscale thermal imaging of dissipation in quantum systems
- Hydrodynamic description of transport in strongly correlated electron systems
- 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
- Vanishing bulk viscosities and conformal invariance of unitary Fermi gas
- Collective cyclotron motion of the relativistic plasma in graphene
- Hydrodynamic approach to electronic transport in graphene
- High quality magnetotransport in graphene using the edge-free Corbino geometry
- Imaging resonant dissipation from individual atomic defects in graphene
- A Corbino disk viscometer for 2D quantum electron liquids
- Charge transport in dual gated bilayer graphene with Corbino geometry
- Electron-hole collision limited transport in charge-neutral bilayer graphene
- Transport properties of strongly coupled electron-phonon liquids
- Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
- Conformal mapping and shot noise in graphene
- Unified description of the classical Hall viscosity
- Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
- Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
- Freely flowing currents and electric field expulsion in viscous electronics
- Hydrodynamic electron transport near charge neutrality
- Counterflows in viscous electron-hole fluid
- Imaging the breakdown of ohmic transport in graphene
- Hydrodynamic approach to electronic transport in graphene: energy relaxation
- Ballistic Heat Transfer and Energy Waves in an Electron System
- Hydrodynamic electron transport in graphene Hall-bar devices
- Thermoelectricity in Quantum-Hall Corbino Structures
- Quantum transport via evanescent waves in undoped graphene
- Eccentric Corbino FET in magnetic field: a highly tunable photodetector
- Electronic pumping of heat without charge transfer
Cited by in corpus (16)
- Hydrodynamic approach to two-dimensional electron systems
- Hydrodynamic magnetoresistance in graphene Corbino devices
- Hydrodynamic electron transport in graphene Hall-bar devices
- Electronic viscosity and energy relaxation in neutral graphene
- Corbino magnetoresistance in neutral graphene
- Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
- Current Noise of Hydrodynamic Electrons
- Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
- Two-dimensional hydrodynamic electron flow through periodic and random potentials
- Thermoelectric properties of the Corbino disk in graphene
- Anomalous Electronic Transport in High Mobility Corbino Rings
- Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
- Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
- Controlled generation and detection of a thermal bias in Corbino devices under the quantum Hall regime
- Tunable viscous layers in Corbino geometry using density junctions
- Spin-caloric resistance of Dirac plasma in a graphene Corbino device