Anomalous Hydrodynamics of Fractional Quantum Hall States
arXiv:1305.6893 · doi:10.1134/S1063776113110162
Abstract
In this paper we propose a comprehensive framework for the quantum hydrodynamics of the Fractional Quantum Hall (FQH) states. We suggest that the electronic fluid in the FQH regime could be phenomenologically described by the quantized hydrodynamics of vortices in an incompressible rotating liquid. We demonstrate that such hydrodynamics captures all major features of FQH states including the subtle effect of Lorentz shear stress. We present a consistent quantization of hydrodynamics of an incompressible fluid providing a powerful framework to study FQHE and superfluid. We obtain the quantum hydrodynamics of the vortex flow by quantizing the Kirchhoff equations for vortex dynamics.
The paper is written for the special issue of JETP dedicated to Anatoly Larkin
References in corpus (3)
Cited by in corpus (14)
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- Edge wave and boundary layer of vortex matter
- Singular Behavior At The Edge of Laughlin States
- Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
- Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
- The boundary density profile of a Coulomb droplet. Freezing at the edge
- Inner Nonlinear Waves and Inelastic Light Scattering of Fractional Quantum Hall States as Evidence of the Gravitational Anomaly
- Topological Terms and Diffeomorphism Anomalies in Fluid Dynamics and Sigma Models
- Observable signatures of Hall viscosity in lowest Landau level superfluids
- On Dimensional Transmutation in 1+1D Quantum Hydrodynamics
- Quantum Hydrodynamics: Kirchhoff Equations