2 citations · 4 across the 7 of their papers we have counts for
19 papers
Quantum phase transitions of fractons (a fractal scaling theory for the FQHE)
Wellington da Cruz
We consider the quantum phase transitions of fractons in correspondence with the quantum phase transitions of the fractional quantum Hall effect-FQHE. We have that the Hall states…
The spin-statistics connection, the Gauss-Bonnet theorem and the Hausdorff dimension of the quantum paths
Wellington da Cruz
We obtain an explicit expression relating the writhing number, , of the quantum path, , with any value of spin, , of the particle which sweeps out that closed curve. We…
Entanglement measure for the universal classes of fractons
Wellington da Cruz, S. Shelly Sharma
We introduce the notion of entanglement measure for the universal classes of fractons as an entanglement between ocuppation-numbers of fractons in the lowest Landau levels and the…
Fractal sets of dual topological quantum numbers
Wellington da Cruz
The universality classes of the quantum Hall transitions are considered in terms of fractal sets of dual topological quantum numbers filling factors, labelled by a fractal or Hausd…
A fractal-like structure for the fractional quantum Hall effect
Wellington da Cruz
We have pursued in the literature a fractal-like structure for the fractional quantum Halll effect-FQHE which consider the Hausdorff dimension associated with the quantum mechanics…
A quantum-geometrical description of the statistical laws of nature
Wellington da Cruz
We consider the fractal characteristic of the quantum mechanical paths and we obtain for any universal class of fractons labeled by the Hausdorff dimension defined within the inter…