1998/02/25 by Wellington Cruz, Cruz, Wellington
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9802266
latex, 4 pages
arxiv created 1998/02/25 · arxiv updated 2009/11/30
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.