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

Abstract

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.

39 pages (REVTeX 3.0). Postscript file for this paper are available on the World Wide Web at http://cmtw.harvard.edu/~simon/ ; Preprint number HU-CMT-94S01

References in corpus (3)

• Response functions and Spectrum of Collective Excitations of Fractional Quantum Hall Effect Systems
• Response Function of the Fractional Quantized Hall State on a Sphere II: Exact Diagonalization
• Monopole Vector Spherical Harmonics

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