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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- July 2013
- DOI:
- 10.1088/1751-8113/46/29/292001
- arXiv:
- arXiv:1212.0461
- Bibcode:
- 2013JPhA...46C2001A
- Keywords:
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- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Mathematical Physics
- E-Print:
- 5 pages