Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory
Condensed Matter
2009-10-22 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9402089,
title = {Response Function of the Fractional Quantized Hall State on a Sphere I: Fermion Chern-Simons Theory},
author = {Steven H. Simon and Bertrand I. Halperin},
journal= {arXiv preprint arXiv:cond-mat/9402089},
year = {2009}
}
Comments
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