Hausdorff dimension and filling factor

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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.
latex, 4 pages

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Mesoscale and Nanoscale Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/28116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9802266
 http://arxiv.org/abs/cond-mat/9802266

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arXiv