Level statistics in the quantum Hall regime

Details Level statistics in the quantum Hall regime Level statistics in the quantum Hall regime

1996-08-29

arxiv.org/abs/cond-mat/9608148v1

Physics

Condensed Matter

4 pages LaTeX, 2 ps-figs. and sprocl.sty included. To appear in the conference proceedings: High Magnetic Fields in Semiconduc

Scientific paper

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 $\nu$ of the correlation length can be derived, are calculated. While $P(s)$ disagrees with recent analytical predictions, $\nu$ is found to be in agreement with theoretical and experimental results.

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