Abstract
To probe the universality class of the quantum Hall system at the metal-insulator critical point, the multifractality of the wave function \ensuremath{\psi} is studied for higher Landau levels, N=1, 2, for various range (\ensuremath{\sigma}) of random potential. We have found that, while the multifractal spectrum f(\ensuremath{\alpha}) (and consequently the fractal dimension) does vary with N, the parabolic form for f(\ensuremath{\alpha}) indicative of a log-normal distribution of \ensuremath{\psi} persists in higher Landau levels. If we relate the multifractality with the scaling of localization via the conformal theory, an asymptotic recovery of the single-parameter scaling with increasing \ensuremath{\sigma} is seen, in agreement with Huckestein's irrelevant scaling field argument. \textcopyright{} 1996 The American Physical Society.
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