Abstract
The recent discovery of a Hall plateau at \(v = \frac{5}{2}\) is reviewed. For a trial wave function recently proposed for this state by Haldane and Rezayi, we present results of Monte Carlo calculations with up to 32 electrons on the surface of a sphere. The Coulomb energy of this trial state is significantly higher than the energy of polarized states at this filling fraction. We also discuss the hierarchical construction of higher order quantized Hall states and evidence in its favor from exact numerical studies of small systems.
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© 1989 Plenum Press, New York
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Morf, R. (1989). Fractional Quantum Hall Effect: Recent Developments. In: Baeriswyl, D., Campbell, D.K. (eds) Interacting Electrons in Reduced Dimensions. NATO ASI Series, vol 213. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0565-1_33
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DOI: https://doi.org/10.1007/978-1-4613-0565-1_33
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