The Fractional Quantum Hall Effect with an Added Parallel Magnetic Field
The fractional quantum Hall states with fractions between 2 and 1 have been studied in the presence of an added parallel magnetic field. The fractional states in this range are observed to behave differently than those associated with fractions less than 1. Whereas there is a definite symmetry about 1/2 for the fractions less than 1, there is no correspondingly simple symmetry about 3/2 for the fractions between 2 and 1. The implications of these results for the hierarchical model and for calculations involving an exact numerical diagonalization for a small number of electrons are discussed.
KeywordsHierarchical Model Inversion Symmetry Parallel Field Parallel Magnetic Field Lower Landau Level
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