Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment

Abstract

We develop a classical kinetic theory of magnetotransport of 2D electrons in narrow channels with partly diffusive boundary scattering and apply it to description of magnetoresistance measured in the temperature interval 4.2-30 K in long mesoscopic bars fabricated from high-purity GaAs quantum well structures. Both experiment and theory demonstrate a number of characteristic features in the longitudinal and Hall resistances caused by the size effect in two dimensions owing to the high ballisticity of the transport. In addition to the features described previously, we also reveal a change in the slope of the first derivative of magnetoresistance when the cyclotron orbit diameter equals to half of the channel width. These features are suppressed with increasing temperature as a result of the electronic viscosity due to electron-electron interaction. By comparing theory and experiment, we determine the characteristic time of relaxation of angular distribution of electrons caused by electron-electron scattering.

References in corpus (30)

• Quantum Transport in Semiconductor Nanostructures
• Negative local resistance caused by viscous electron backflow in graphene
• Hydrodynamics of electrons in graphene
• Hydrodynamic electron flow in high-mobility wires
• Non-local transport and the hydrodynamic shear viscosity in graphene
• Hydrodynamic description of transport in strongly correlated electron systems
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Fluidity Onset in Graphene
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Hydrodynamics in graphene: Linear-response transport
• Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
• Coulomb scattering lifetime of a two-dimensional electron gas
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Viscous electron flow in mesoscopic two-dimensional electron gas
• Viscous transport and Hall viscosity in a two-dimensional electron system
• Hydrodynamic theory of transport in doped graphene
• Electron-electron interactions and two-dimensional - two-dimensional tunneling
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Vorticity induced negative nonlocal resistance in viscous two-dimensional electron system
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Stokes paradox in electronic Fermi liquids
• Kinetic theory of transport for inhomogeneous electron fluids
• A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
• Hydrodynamic effects in interacting Fermi electron jets
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Viscous magnetoresistance of correlated electron liquids
• The Hall effect in ballistic flow of two-dimensional interacting particles
• Hydrodynamic and Ballistic AC transport in 2D Fermi Liquids
• Magnetotransport along a boundary: From coherent electron focusing to edge channel transport

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• Hydrodynamic approach to two-dimensional electron systems
• Hydrodynamic and ballistic transport over large length scales in GaAs/AlGaAs
• Ratchet effect in spatially modulated bilayer graphene: Signature of hydrodynamic transport
• Viscous magnetotransport and Gurzhi effect in bilayer electron system
• Anti-Poiseuille flow in neutral graphene
• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Non-linear Transport Phenomena and Current-induced Hydrodynamics in Ultra-high Mobility Two-dimensional Electron Gas
• Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
• Temperature Dependence of Electron Viscosity in Superballistic GaAs Point Contacts
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Corbino magnetoresistance in neutral graphene
• Heating of inhomogeneous electron flow in the hydrodynamic regime
• Superballistic boundary conductance and hydrodynamic transport in microstructures
• Obstacle-Induced Gurzhi Effect and Hydrodynamic Electron Flow in Two-Dimensional Systems
• Viscous flow through a finite-width slit: Boundary conditions and dissipation
• Magnetohydrodynamics and electro-electron interaction of massless Dirac fermions
• Bulk and shear viscosities in multicomponent 2D electron system
• Transition between scattering regimes of 2D electron transport
• Anomalous Knudsen effect signaling long-lived modes in 2D electron gases
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas
• Interaction Induced Magnetotransport in a 2D Dirac-Heavy Hole Hybrid Band System