Quantum Hall Spherical Systems: the Filling Fraction

Details Quantum Hall Spherical Systems: the Filling Fraction Quantum Hall Spherical Systems: the Filling Fraction

1997-02-26

arxiv.org/abs/cond-mat/9702225v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.56.3606

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 $N_e=N_h \pm 1$.

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