Transport signatures of Hall viscosity

Abstract

Hall viscosity is a non-dissipative response function describing momentum transport in two-dimensional systems with broken parity. It is quantized in the quantum Hall regime, and contains information about the topological order of the quantum Hall state. Hall viscosity can distinguish different quantum Hall states with identical Hall conductances, but different topological order. To date, an experimentally accessible signature of Hall viscosity is lacking. We exploit the fact that Hall viscosity contributes to charge transport at finite wavelengths, and can therefore be extracted from non-local resistance measurements in inhomogeneous charge flows. We explain how to determine the Hall viscosity from such a transport experiment. In particular, we show that the profile of the electrochemical potential close to contacts where current is injected is sensitive to the value of the Hall viscosity.

5+3 pages, 2 figures; v2: references added

References in corpus (8)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Low-energy effective theory in the bulk for transport in a topological phase
• Density-curvature response and gravitational anomaly
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Hall viscosity, topological states and effective theories
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Aspects of hot Galilean field theory

Cited by in corpus (28)

• Hydrodynamics of electrons in graphene
• Odd Viscosity and Odd Elasticity
• Hydrodynamic approach to two-dimensional electron systems
• Transport properties of strongly coupled electron-phonon liquids
• Quantum Metric and Correlated States in Two-dimensional Systems
• Stokes flow around an obstacle in viscous two-dimensional electron liquid
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Lift force in odd compressible fluids
• Viscous magnetotransport and Gurzhi effect in bilayer electron system
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• Obstacle-Induced Gurzhi Effect and Hydrodynamic Electron Flow in Two-Dimensional Systems
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Geometric and computational aspects of chiral topological quantum matter
• Construction of a series of new $\nu =2/5$ fractional quantum Hall wave functions by conformal field theory
• Adiabatic Deformations of Quantum Hall Droplets
• Hydrodynamic Coulomb drag in odd electron liquids
• Joule heating and electronic Gurzhi effect in hydrodynamic differential transport in an electron liquid
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field
• Stokes flow in an electronic fluid with odd viscosity
• Electron Hydrodynamics and Bernoulli Effect in Venturi-Shaped 2D Systems