The localization effect of the magnetic field in two dimensional systems

Özet

The localization effect of the magnetic field in two dimensional systems is studied. It is found that only the top Landau levels are responsible for the transport. If at B = $B_i$ there are $V_i$ Landau levels below or equal to the Fermi level, the states at the top Landau levels are first delocalized then get localized at certain fields $B = k_iB_i$. We calculate the values of $k_i$ in terms of the filling factors $V_i$.