Anomalous hydrodynamics of fractional quantum Hall states

Journal Article · Sun Sep 15 00:00:00 EDT 2013 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776113110162· OSTI ID:22210469

Wiegmann, P., E-mail: [e-mail] ^[1]

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1. University of Chicago, Department of Physics (United States)

We propose a comprehensive framework for quantum hydrodynamics of the fractional quantum Hall (FQH) states. We suggest that the electronic fluid in the FQH regime can 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 the Lorentz shear stress. We present a consistent quantization of the hydrodynamics of an incompressible fluid, providing a powerful framework to study the FQH effect and superfluids. We obtain the quantum hydrodynamics of the vortex flow by quantizing the Kirchhoff equations for vortex dynamics.

• OSTI ID: 22210469
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 117, Issue 3; Other Information: Copyright (c) 2013 Pleiades Publishing, Inc.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAPTURE
EQUATIONS
HYDRODYNAMICS
LIQUIDS
LORENTZ FORCE
QUANTIZATION
SUPERFLUIDITY
VORTEX FLOW
VORTICES