  We show that due to the Landau band mixing the eigenstate localization within
the disordered bands get an asymmetric structure: the degree of localization
increases in the lower part of the band and decreases in the upper one. The
calculation is performed for a 2D lattice with the Anderson disorder potential
and we prove that this effect is related to the upper shift of the extended
states within the band and is enhanced by the disorder strength. The asymmetric
localization and the energy shift dissapear when the interband coupling is
switched off.
