On the interaction energy of 2D electron FQHE systems within the Chern-Simons approach
arXiv:cond-mat/9905155 · doi:10.1142/S021797929900237X
Abstract
The interaction energy of the two-dimensional electron system in the region of fractional quantum Hall effect is considered within the Chern-Simons composite fermion approach. In the limit when Coulomb interaction is very small comparing to the cyclotron energy the RPA results are obtained for the fillings and compared with the exact diagonalization results for small systems (extrapolated for infinite systems). They show very poor agreement suggesting the need for looking for alternative approaches.
16 pages, Latex, 5 figures in PostScript, to appear in Int. Jour. of Mod. Phys. B