2003/01/30 by Wellington da Cruz, da Cruz, Wellington
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.mes-hall #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/0301587
Typos corrected, references added and updated, 8 pages, latex. Comments on paper W. Pan et al, Phys. Rev. Lett. {\bf 90}, 016801 (2003)
openalex publication_date 2003/01/30 · arxiv created 2003/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider recent experimental results [W. Pan \it et al, Phys. Rev. Lett. \bf 90, 016801 (2003)] for occurrence of the fractional quantum Hall effect-FQHE under the perspective of our formulation in terms of \it fractons. These objects carry rational or irrational values of spin and satisfy a \it fractal distribution function associated with a \it fractal von Neumann entropy. According to our approach the \it FQHE occurs in pairs of dual topological quantum numbers fillings factors and this geometrical character comes from the \it connection betwenn the fractal parameter or Hausdorff dimension h and the spin s of the particles. We suggest to the experimentalists consider our ideas and verify in fact that this phenomenon of FQHE satisfy a \it symmetry principle discovered by us, i.e, \it the duality symmetry betwenn universal classes of fractons.