Level statistics in the quantum Hall regime

M. Batsch; L. Schweitzer

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arXiv · cond-mat/9608148

Level statistics in the quantum Hall regime

M. Batsch·L. Schweitzer

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Abstract

The statistical properties of energy eigenvalues in the critical regime of the lowest Landau band are investigated. The nearest neighbour level spacing distribution $P(s)$ and the Mehta quantity $I_0$, from which the scaling exponent $ν$ of the correlation length can be derived, are calculated. While $P(s)$ disagrees with recent analytical predictions, $ν$ is found to be in agreement with theoretical and experimental results.

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M. Batsch, L. Schweitzer. 1996-08-29. Level statistics in the quantum Hall regime. https://arxiv.org/abs/cond-mat/9608148

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