Abstract
Finite size corrections to scaling laws in the centers of Landau levels are studied systematically by numerical calculations. The corrections can account for the apparent non-universality of the localization length exponent
ν
. In the second lowest Landau level the irrelevant scaling index is
y
irr
=−0.38±0.04
. At the center of the lowest Landau level an additional periodic potential is found to be irrelevant with the same scaling index. These results suggest that the localization length exponent
ν
is universal with respect to Landau level index and an additional periodic potential.