On the dual topological quantum numbers filling factors
| dc.creator | da Cruz, Wellington | |
| dc.date | 2003-01-30 | |
| dc.date | 2003-05-26 | |
| dc.date.accessioned | 2026-07-25T22:31:12Z | |
| dc.description | 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}. | |
| dc.description | Typos corrected, references added and updated, 8 pages, latex. Comments on paper W. Pan et al, Phys. Rev. Lett. {\bf 90}, 016801 (2003) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301587 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301587 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/89835 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | On the dual topological quantum numbers filling factors | |
| dc.type | text |