On the effective hydrodynamics of the fractional quantum Hall effect

Abstract

We present here a classical hydrodynamic model of a two-dimensional fluid which has many properties of the fractional quantum Hall effect (FQHE). This model incorporates the FQHE relation between the vorticity and density of the fluid and exhibits the Hall viscosity and Hall conductivity found in FQHE liquids. We describe the relation of the model to the Chern–Simons–Ginzburg–Landau theory of FQHE and show how Laughlin's wavefunction is annihilated by the quantum velocity operator.