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On the effective hydrodynamics of FQHE

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arxiv 1212.0461 v1 pith:F3XRSPIW submitted 2012-12-03 cond-mat.str-el cond-mat.mes-hallmath-phmath.MP

Alexander G. Abanov This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hallmath-phmath.MP
keywords fqhehallmodelfluidquantumrelationannihilatedchern-simons-ginzburg-landau
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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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