English

Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works

Mesoscale and Nanoscale Physics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9810079,
  title  = {Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works},
  author = {Arkadiusz Wojs and John J. Quinn},
  journal= {arXiv preprint arXiv:cond-mat/9810079},
  year   = {2009}
}

Comments

RevTeX + 3 EPS figures formatted in the text with epsf.sty