On the effective hydrodynamics of FQHE
Strongly Correlated Electrons
2013-08-15 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1212.0461,
title = {On the effective hydrodynamics of FQHE},
author = {Alexander G. Abanov},
journal= {arXiv preprint arXiv:1212.0461},
year = {2013}
}
Comments
5 pages