  Spatial correlations of occupation probabilities, if their decay is not too
fast, can change the critical exponents for classical percolation. From
numerical studies of electron dynamics in the lowest Landau level (LLL) we
demonstrate the quantum analog of this effect. Similar to classical
percolation, we find that the extended Harris criterion applies to localization
in the LLL. These results suggest experiments that might probe new quantum
critical points in the integer quantum Hall setting.
