Viscous transport and Hall viscosity in a two-dimensional electron system

Abstract

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons in the presence of a magnetic field. We observe a pronounced, negative Hall resistivity at low magnetic field in a mesoscopic size, two-dimensional electron system, which is attributed to Hall viscosity in the inhomogeneous charge flow. Experimental results supported by a theoretical analysis confirm that the conditions for observation of Hall viscosity are correlated with predictions.

arXiv comment8 pages, 7 figures

References in corpus (27)

• Negative local resistance caused by viscous electron backflow in graphene
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Geometrical Description of the Fractional Quantum Hall Effect
• Hydrodynamic electron flow in high-mobility wires
• Hall Viscosity and Electromagnetic Response
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Hydrodynamic description of transport in strongly correlated electron systems
• Negative magnetoresistance in viscous flow of two-dimensional electrons
• Hydrodynamic Electron Flow and Hall Viscosity
• Hydrodynamics in graphene: Linear-response transport
• Torsional Response and Dissipationless Viscosity in Topological Insulators
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Viscous electron flow in mesoscopic two-dimensional electron gas
• Magnetoresistance in a High Mobility Two-Dimensional Electron Gas
• Transport signatures of Hall viscosity
• Hydrodynamic theory of transport in doped graphene
• Geometry of Fractional Quantum Hall Fluids
• Giant negative magnetoresistance in high-mobility 2D electron systems
• Colossal negative magnetoresistance in a 2D electron gas
• Lorentz shear modulus of fractional quantum Hall states
• Hydrodynamic effects in interacting Fermi electron jets
• Hall viscosity and electromagnetic response of electrons in graphene
• Lifetime of a quasiparticle in an electron liquid

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• Magnetic response of a two-dimensional viscous electron fluid
• Sign reversal of nonlocal response due to electron collisions
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
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• Voltage characteristics of hydrodynamic Dirac electron nozzles with supersonic flow
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