On the effective hydrodynamics of FQHE

Abstract

We present here a classical hydrodynamic model of a two-dimensional fluid which has many properties of Fractional Quantum Hall effect. 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 wave function is annihilated by the quantum velocity operator.

5 pages

References in corpus (4)

• Large N expansion for the 2D Dyson gas
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field

Cited by in corpus (27)

• Quantum Hall Physics - hierarchies and CFT techniques
• Hydrodynamic Electron Flow and Hall Viscosity
• Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
• Newton-Cartan Geometry and the Quantum Hall Effect
• Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
• Transport signatures of Hall viscosity
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
• Hall viscosity, topological states and effective theories
• Odd surface waves in two-dimensional incompressible fluids
• Hydrodynamics of Euler incompressible fluid and the Fractional Quantum Hall Effect
• Non-relativistic fields from arbitrary contracting backgrounds
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Hall and dissipative viscosity effects on edge magnetoplasmons
• Free surface variational principle for an incompressible fluid with odd viscosity
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• Anomalous Hydrodynamics of Fractional Quantum Hall States
• Non-linear shallow water dynamics with odd viscosity
• Hall Viscosity and Momentum Transport in Lattice and Continuum Models of the Integer Quantum Hall Effect in Strong Magnetic Fields
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Hall viscosity in the A-phase of superfluid ${}^3$He
• Hele-Shaw flow for parity odd three-dimensional fluids
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• Orbital Inverse Faraday and Cotton-Mouton Effects in Hall Fluids
• Quantum kinetic theory of flux-carrying Brownian particles
• Hydrodynamic study of edge spin-vortex excitations of fractional quantum Hall fluid
• Hamiltonian structure of 2D fluid dynamics with broken parity