Distribution of level curvatures in the lowest Landau level

An analysis of the statistics of level curvatures for a system exhibiting the integer quantum Hall effect is presented. The curvatures (Formula presented) are calculated numerically and their distribution P(k) is evaluated for energy eigenvalues (Formula presented) belonging to insulating as well as to critical states. In the insulating region it is found that P(0)=0 and that P(ln k) depends on the system size, albeit weaker than linearly. There is no clear cut evidence that the distribution is log-normal. The distribution of curvatures corresponding to critical states is scale invariant and appears to be way off the mark set by random matrix theory for the unitary ensemble.