Viscometry of electron fluids from symmetry

Abstract

When electrons flow as a viscous fluid in anisotropic metals, the reduced symmetry can lead to exotic viscosity tensors with many additional, nonstandard components. We present a viscometry technique that can, in principle, measure the multiple dissipative viscosities allowed in isotropic and anisotropic fluids alike. By applying representation theory to exploit the intrinsic symmetry of the fluid, our viscometry is also exceptionally robust to both boundary complications and ballistic effects. We present the technique via the illustrative example of dihedral symmetry, relevant in this context as the point symmetry of 2D crystals. Finally, we propose a present-day realizable experiment for detecting, in a metal, a novel hydrodynamic phenomenon: the presence of rotational dissipation in an otherwise isotropic fluid.

References in corpus (9)

• Theory of universal incoherent metallic transport
• Hydrodynamics of electrons in graphene
• Stokes paradox in electronic Fermi liquids
• Kinetic theory of transport for inhomogeneous electron fluids
• Electron hydrodynamics with a polygonal Fermi surface
• Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Anisotropic Scattering in Goniopolar Metal NaSn${}_2$As${}_2$

Cited by in corpus (11)

• Odd Viscosity and Odd Elasticity
• Directional ballistic transport in the two-dimensional metal PdCoO2
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Nonlocal conductivity, continued fractions and current vortices in electron fluids
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Nonreciprocal electron hydrodynamics under magnetic fields: applications to nonreciprocal surface magnetoplasmons
• Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Hydrodynamics with triangular point group
• Nonlinear density waves on graphene electron fluids
• Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals