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arXiv · cond-mat/9702225

Quantum Hall Spherical Systems: the Filling Fraction

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 $ν\frac{2S}{N-1}$ 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 $ν_e +ν_h=1$ for all particle-hole conjugate systems, except systems with $N_e =N_h$, and $N_e=N_h \pm 1$.

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P. Sitko, J. J. Quinn, D. C. Marinescu. 1997-02-26. Quantum Hall Spherical Systems: the Filling Fraction. https://doi.org/10.1103/physrevb.56.3606

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