Localization in a random magnetic field in 2D

The localization of the wave functions in a random magnetic field in 2D is investigated numerically in terms of MacKinnon’s finite size scaling method. The single-parameter scaling relation is confirmed, and the scaling function β(g) (g is the dimensionless conductance) obtained for this unitary model is consistent with the recent analytical result up to ${\mathit{g}}^{\mathrm{-}4}$, indicating that all the wave functions are localized.