LOCALIZATION OF 2-DIMENSIONAL ELECTRONS IN A RANDOM MAGNETIC-FIELD

The localization properties of a two-dimensional electron system in th e presence of a random magnetic field an numerically studied by calcul ating directly eigenstates of large systems. Analyzing eigenstates the mselves gives precise information on the localization of wave function s compared with that obtained from transport properties. The finite-si ze scaling analysis for quasi-one-dimensional wave functions clearly s hows that the single-parameter scaling hypothesis is valid for this sy stem and all states are localized. Furthermore, an analysis based on t he multifractality of a localized wave function also supports these re sults.