FINITE-WAVE-VECTOR ELECTROMAGNETIC RESPONSE OF FRACTIONAL QUANTIZED HALL STATES

A fractional quantized Hall state with filling fraction nu = p/(2mP 1) can be modeled as an integer quantized Hall state of transformed-fe rmions, interacting with a Chern-Simons field. The electromagnetic res ponse function for these states at arbitrary frequency and wave vector can be calculated using a semiclassical approximation or the random-p hase approximation. However, such calculations do not properly take in to account the large effective-mass renormalization which is present i n the Chern-Simons theory. We show how the mass renormalization can be incorporated in a calculation of the response function within a Landa u-Fermi-liquid theory approach such that Kohn's theorem and the f-sum rules are properly satisfied. We present results of such calculations.