The angular momentum model which couples the spin and charge is discussed as a possible theory of the quantum Hall effect. The high Landau level filling fractions 5/2, 7/3 and 8/3 are understood by this model. It is found that 7/3 and 8/3 are the particle-hole conjugates and 5/2 arises due to a limiting level at 1/2 with Landau level number n=5 which makes the fraction as 5/2.
@article{arxiv.cond-mat/0103604,
title = {Theory of quantum Hall effect and high Landau levels},
author = {Keshav N. Shrivastava},
journal= {arXiv preprint arXiv:cond-mat/0103604},
year = {2009}
}