Ballistic and hydrodynamic magnetotransport in narrow channels

Abstract

An increasing number of low carrier density materials exhibit a surprisingly large transport mean free path due to inefficient momentum relaxation. Consequently, charge transport in these systems is markedly non-ohmic but rather ballistic or hydrodynamic, features which can be explored by driving current through narrow channels. Using a kinetic equation approach we theoretically investigate how a non-quantizing magnetic field discerns ballistic and hydrodynamic transport, in particular in the spatial dependence of the transverse electric field, $E_y$: We find that $E_y$ is locally enhanced when the flow exhibits a sharp directional anisotropy in the non-equilibrium density. As a consequence, at weak magnetic fields, the curvature of $E_y$ has opposite signs in the ballistic and hydrodynamic regimes. Moreover, we find a robust signature of the onset of non-local correlations in the form of distinctive peaks of the transverse field, which are accessible by local measurements. Our results demonstrate that a purely hydrodynamic approach is insufficient in the Gurzhi regime once a magnetic field is introduced.

arXiv comment13+3 pages, 11 figures

References in corpus (39)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Negative local resistance caused by viscous electron backflow in graphene
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Superballistic flow of viscous electron fluid through graphene constrictions
• Quantum critical transport in clean graphene
• Odd viscosity in chiral active fluids
• 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
• 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
• Topological waves in fluids with odd viscosity
• Hydrodynamic Electron Flow and Hall Viscosity
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Hydrodynamics in graphene: Linear-response transport
• The boundary conditions of viscous electron flow
• Odd viscosity in two-dimensional incompressible fluids
• Collective cyclotron motion of the relativistic plasma in graphene
• Collision-dominated nonlinear hydrodynamics in graphene
• A Corbino disk viscometer for 2D quantum electron liquids
• Viscous transport and Hall viscosity in a two-dimensional electron system
• Transport signatures of Hall viscosity
• Coulomb interaction in graphene: Relaxation rates and transport
• Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity
• Pre-Turbulent Regimes in Graphene Flows
• Hydrodynamic-to-ballistic crossover in Dirac fluid
• Hydrodynamic theory of transport in doped graphene
• Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
• Hydrodynamic Model for Conductivity in Graphene
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Hall viscosity and electromagnetic response of electrons in graphene
• Viscous magnetoresistance of correlated electron liquids
• Hall Viscosity and the Acoustic Faraday Effect
• Magnetic hallmarks of viscous electron flow in graphene

Cited by in corpus (43)

• Imaging viscous flow of the Dirac fluid in graphene
• Visualizing Poiseuille flow of hydrodynamic electrons
• Direct observation of vortices in an electron fluid
• Hydrodynamic approach to two-dimensional electron systems
• Electronic hydrodynamics in graphene
• Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
• Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment
• Viscous magnetotransport and Gurzhi effect in bilayer electron system
• Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Evidence for local spots of viscous electron flow in graphene at moderate mobility
• Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
• Optical conductivity in graphene: hydrodynamic regime
• Anti-Poiseuille flow in neutral graphene
• Current distribution in a slit connecting two graphene half-planes
• Hall effect in Poiseuille flow of two-dimensional electron fluid
• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Superballistic conduction in hydrodynamic antidot graphene superlattices
• Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
• Non-dissipative electrically driven fluids
• Anisotropic Scattering in Goniopolar Metal NaSn${}_2$As${}_2$
• Alternative routes to electron hydrodynamics
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Artificial electric field and electron hydrodynamics
• Corbino magnetoresistance in neutral graphene
• Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
• Superballistic boundary conductance and hydrodynamic transport in microstructures
• Rotational viscosity in spin resonance of hydrodynamic electrons
• Highly correlated two-dimensional viscous electron fluid in moderate magnetic fields
• Universal superdiffusive modes in charged two dimensional liquids
• Ballistic flow of two-dimensional electrons in a magnetic field
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Superballistic paradox in electron fluids: Evidence of tomographic transport
• 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
• Multipolar Fermi Surface Deformations in Sr${}_2$RuO${}_4$ Probed by Resistivity and Sound Attenuation: A Window into Electron Viscosity and the Collision Operator
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas
• Ballistic-hydrodynamic phase transition in flow of two-dimensional electrons
• Transverse voltage in anisotropic hydrodynamic conductors
• Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field
• Tunable viscous layers in Corbino geometry using density junctions