Quantum Hall Spherical Systems: the Filling Fraction

P. Sitko; J. J. Quinn; D. C. Marinescu

doi:10.1103/PhysRevB.56.3606

Quantum Hall Spherical Systems: the Filling Fraction

Mesoscale and Nanoscale Physics 2009-10-30 v1

Authors: P. Sitko , J. J. Quinn , D. C. Marinescu

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Abstract

Within the newly formulated composite fermion hierarchy the filling fraction of a spherical quantum Hall system is obtained when it can be expressed as an odd or even denominator fraction. A plot of $\nu\frac{2S}{N-1}$ as a function of $2S$ for a constant number of particles (up to N=10001) exhibits structure of the fractional quantum Hall effect. It is confirmed that $\nu_e +\nu_h=1$ for all particle-hole conjugate systems, except systems with $N_e =N_h$ , and $N_e=N_h \pm 1$ .

Keywords

composite fermions in quantum hall effect fractional quantum hall effect quantum hall effect

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@article{arxiv.cond-mat/9702225,
  title  = {Quantum Hall Spherical Systems: the Filling Fraction},
  author = {P. Sitko and J. J. Quinn and D. C. Marinescu},
  journal= {arXiv preprint arXiv:cond-mat/9702225},
  year   = {2009}
}

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3 pages, Revtex, 7 PostScript figures, submitted to Phys. Rev. B Rapid Communication

Quantum Hall Spherical Systems: the Filling Fraction

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