Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works
arXiv:cond-mat/9810079 · doi:10.1016/S0038-1098(99)00004-6
Abstract
The success of the mean field composite Fermion (MFCF) picture in predicting the lowest energy band of angular momentum multiplets in fractional quantum Hall systems cannot be found in a cancellation between the Coulomb and Chern--Simons interactions beyond the mean field, due to their totally different energy scales. We show that the MFCF approximation can be regarded as a kind of semi-empirical Hund's rule for monopole harmonics. The plausibility of the rule is easily established, but rigorous proof relies on comparison with detailed numerical calculations.
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