Viscous magnetoresistance of correlated electron liquids

Abstract

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when the mean free path due to electron-electron collisions is sufficiently short. The dominant contribution to magnetoresistance arises from the modification of the flow pattern by the Lorentz force, rather than the magnetic field dependence of the kinetic coefficients of the electron liquid. The resulting magnetoresistance is positive and quadratic at weak fields. Although the resistivity is governed by both viscosity and thermal conductivity of the electron fluid, the magnetoresistance is controlled by the viscosity only. This enables extraction of viscosity of the electron liquid from magnetotransport measurements.

5 pages, 1 figure

References in corpus (9)

• Metal-insulator transition in two-dimensional electron systems
• Slow imbalance relaxation and thermoelectric transport in graphene
• Charge Transport and Inhomogeneity near the Charge Neutrality Point in Graphene
• Hydrodynamics in graphene: Linear-response transport
• Collective cyclotron motion of the relativistic plasma in graphene
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Nonlocal topological valley transport at large valley Hall angles
• Strongly Enhanced Hole-Phonon Coupling in the Metallic State of the Dilute Two-Dimensional Hole Gas
• Interaction-induced backscattering in short quantum wires

Cited by in corpus (21)

• Hydrodynamics of electrons in graphene
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Hydrodynamic approach to two-dimensional electron systems
• Transport properties of strongly coupled electron-phonon liquids
• 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
• Hydrodynamic electron transport near charge neutrality
• Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Conformal maps of viscous electron flow in the Gurzhi crossover
• Hydrodynamic magnetoresistance in graphene Corbino devices
• The role of electron-electron collisions for charge and heat transport at intermediate temperatures
• Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry
• Superballistic boundary conductance and hydrodynamic transport in microstructures
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Magnetohydrodynamics and electro-electron interaction of massless Dirac fermions
• The role of electron-electron collisions for magnetotransport at intermediate temperatures
• Non-monotonic temperature dependence of electron viscosity and crossover to high-temperature universal viscous fluid in monolayer and bilayer graphene
• Fluctuation-induced giant magnetoresistance in charge-neutral graphene