RESPONSE FUNCTION OF THE FRACTIONAL QUANTIZED HALL STATE ON A SPHERE .1. FERMION CHERN-SIMONS THEORY

Using a well-known singular gauge transformation, certain fractional q uantized Hall states can be modeled as integer quantized Hall states o f transformed fermions interacting with a Chern-Simons field. In previ ous work we have calculated the electromagnetic response function of t hese states at arbitrary frequency and wave vector by using the random -phase approximation in combination with a Landau-Fermi-liquid approac h. We now adopt these calculations to a spherical geometry in order to facilitate comparison with exact diagonalizations performed on finite -size systems.