Hund’s rule for composite fermions

Abstract
We consider the ‘‘fractional quantum Hall atom’’ in the vanishing Zeeman energy limit, and investigate the validity of Hund’s maximum-spin rule for interacting electrons in various Landau levels. While it is not valid for electrons in the lowest Landau level, it generally predicts the ground-state spin correctly provided it is applied to composite fermions. The composite fermion theory also reveals a ‘‘self-similar’’ structure in the filling factor range 4/3>ν> 2) / 3 .
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