On the interaction energy of 2D electron FQHE systems within the Chern-Simons approach

Details On the interaction energy of 2D electron FQHE systems within the Chern-Simons approach On the interaction energy of 2D electron FQHE systems within the Chern-Simons approach

1999-05-12

arxiv.org/abs/cond-mat/9905155v1

Int. Jour. of Mod. Phys. B 13 (1999) 2263

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, Latex, 5 figures in PostScript, to appear in Int. Jour. of Mod. Phys. B

Scientific paper

10.1142/S021797929900237X

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 $\nu=1/3, 1/5, 2/3, 2/5, 3/7$ 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.

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