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 (9)

• Hydrodynamics of electrons in graphene
• Hydrodynamic approach to two-dimensional electron systems
• Transport properties of strongly coupled electron-phonon liquids
• Stokes flow around an obstacle in viscous two-dimensional electron liquid
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Viscous magnetotransport and Gurzhi effect in bilayer electron system
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Construction of a series of new $\nu =2/5$ fractional quantum Hall wave functions by conformal field theory
• Geometric and computational aspects of chiral topological quantum matter