Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory

Details Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory

1994-02-22

arxiv.org/abs/cond-mat/9402089v1

Physics

Condensed Matter

39 pages (REVTeX 3.0). Postscript file for this paper are available on the World Wide Web at http://cmtw.harvard.edu/~simon/ ;

Scientific paper

10.1103/PhysRevB.50.1807

Using a well known singular gauge transformation, certain fractional quantized Hall states can be modeled as integer quantized Hall states of transformed fermions interacting with a Chern-Simons field. In previous work we have calculated the electromagnetic response function of these states at arbitrary frequency and wavevector by using the Random Phase Approximation (RPA) in combination with a Landau Fermi Liquid approach. We now adopt these calculations to a spherical geometry in order to facilitate comparison with exact diagonalizations performed on finite size systems.

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