The Localization Effect of the Magnetic Field in Two Dimensional Systems

Authors: Mesude SAĞLAM

Abstract: 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 \nu_{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_{i}B_{i}. We calculate the values of k_{i} in terms of the filling factors \nu_{i}.