Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
arXiv:2312.09701 · doi:10.1103/PhysRevB.111.085433
Abstract
Electrons in quantum matter behave like a fluid when the quantum-mechanical carrier-carrier scattering dominates over other relaxation mechanisms. By combining a microscopic treatment of electron-electron interactions within the random phase approximation with a phenomenological Navier-Stokes like equation, we predict that in the limit of high temperature and strong Coulomb interactions, both monolayer and bilayer graphene exhibit a universal behavior in dynamic viscosity. We find that the dynamic viscosity to entropy density ratio for bilayer graphene is closer to the holographic bound suggesting that such a bound might be observable in a condensed matter system. We discuss how this could be observed experimentally using a magnetoconductance measurements in a Corbino geometry for a realistic range of temperature and carrier density.
References in corpus (47)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Asymmetry gap in the electronic band structure of bilayer 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
- Evidence for hydrodynamic electron flow in PdCoO
- Superballistic flow of viscous electron fluid through graphene constrictions
- 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
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
- Higher-Than-Ballistic Conduction of Viscous Electron Flows
- Negative magnetoresistance in viscous flow of two-dimensional electrons
- Single particle relaxation time versus transport scattering time in a 2D graphene layer
- Hydrodynamics in graphene: Linear-response transport
- Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
- Imaging phonon-mediated hydrodynamic flow in WTe2
- Boltzmann transport and residual conductivity in bilayer graphene
- The role of electron-electron interactions in two-dimensional Dirac fermions
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Viscous electron flow in mesoscopic two-dimensional electron gas
- A Corbino disk viscometer for 2D quantum electron liquids
- Finite-temperature Screening and the Specific Heat of Doped Graphene Sheets
- Electronic hydrodynamics in graphene
- Electron-hole collision limited transport in charge-neutral bilayer graphene
- Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
- Coulomb drag in monolayer and bilayer graphene
- Transport properties of strongly coupled electron-phonon liquids
- Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
- Hydrodynamic and ballistic transport over large length scales in GaAs/AlGaAs
- Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
- Viscosity of two-dimensional electrons
- 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
- Viscous magnetoresistance of correlated electron liquids
- Lifetime of a quasiparticle in an electron liquid
- Freely flowing currents and electric field expulsion in viscous electronics
- Dissipation-enabled hydrodynamic conductivity in a tunable bandgap semiconductor
- Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
- Hydrodynamic thermoelectric transport in Corbino geometry
- Effect of Coulomb interaction on the gap in monolayer and bilayer graphene
- Hydrodynamic electron transport in graphene Hall-bar devices
- Hydrodynamic magnetoresistance in graphene Corbino devices
- Electronic viscosity and energy relaxation in neutral graphene
- Long distance electron-electron scattering detected with point contacts