On the effective hydrodynamics of FQHE

Alexander G. Abanov

doi:10.1088/1751-8113/46/29/292001

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arXiv · 1212.0461

On the effective hydrodynamics of FQHE

Alexander G. Abanov

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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.

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Alexander G. Abanov. 2012-12-03. On the effective hydrodynamics of FQHE. https://doi.org/10.1088/1751-8113%2F46%2F29%2F292001

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