English

Level statistics in the quantum Hall regime

Condensed Matter 2007-05-23 v1

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)P(s) and the Mehta quantity I0I_0, from which the scaling exponent ν\nu of the correlation length can be derived, are calculated. While P(s)P(s) disagrees with recent analytical predictions, ν\nu is found to be in agreement with theoretical and experimental results.

Cite

@article{arxiv.cond-mat/9608148,
  title  = {Level statistics in the quantum Hall regime},
  author = {M. Batsch and L. Schweitzer},
  journal= {arXiv preprint arXiv:cond-mat/9608148},
  year   = {2007}
}

Comments

4 pages LaTeX, 2 ps-figs. and sprocl.sty included. To appear in the conference proceedings: High Magnetic Fields in Semiconductor Physics, Wuerzburg 1996