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Hausdorff dimension and filling factor

Wellington Cruz
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Abstract

We propose a new hierarchy scheme for the filling factor, a parameter which characterizes the occurrence of the Fractional Quantum Hall Effect (FQHE). We consider the Hausdorff dimension, $h$, as a parameter for classifying fractional spin particles, such that, it is written in terms of the statistics of the collective excitations. The number $h$ classifies these excitations with different statistics in terms of its homotopy class.

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Wellington Cruz. 1998-02-25. Hausdorff dimension and filling factor. https://arxiv.org/abs/cond-mat/9802266

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