Electron hydrodynamics dilemma: whirlpools or no whirlpools

Abstract

In highly viscous electron systems such as, for example, high quality graphene above liquid nitrogen temperature, a linear response to applied electric current becomes essentially nonlocal, which can give rise to a number of new and counterintuitive phenomena including negative nonlocal resistance and current whirlpools. It has also been shown that, although both effects originate from high electron viscosity, a negative voltage drop does not principally require current backflow. In this work, we study the role of geometry on viscous flow and show that confinement effects and relative positions of injector and collector contacts play a pivotal role in the occurrence of whirlpools. Certain geometries may exhibit backflow at arbitrarily small values of the electron viscosity, whereas others require a specific threshold value for whirlpools to emerge.

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Cited by in corpus (16)

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• Viscous magnetoresistance of correlated electron 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
• Electron hydrodynamics of anomalous Hall materials
• Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Linking boundary conditions for kinetic and hydrodynamic description of fermion gas
• Charge carrier density noise in graphene: effect of localized/delocalized traps
• Preturbulence in momentum-relaxing Navier-Stokes hydrodynamics
• Quantum Critical Ballistic Transport in Two-Dimensional Fermi Liquids
• Nonlinear Hall effect as a local probe of plasmonic magnetic hot spots