Kinetic theory derivation of Hall viscosity: Role of symmetries and quantum effects

In this talk we present the Hall Viscosity formula for a 2D charged plasma with general energy dispersion in magnetic field, obtained via kinetic theory. In the collisionless regime and temperature much bigger than the gap between Landau levels, quantum effects can be captured by replacing the Maxwell-Boltzmann distribution by the Fermi-Dirac distribution. The discreteness of the Landau levels can be incorporated via Lifshitz-Kosevich method. For zero temperature we recover the Hall viscosity expressions for the Integer Quantum Hall effect in both isotropic and anisotropic systems.