ANDERSON TRANSITION IN LAYERED SYSTEMS IN QUANTIZING MAGNETIC-FIELDS

A stack of two-dimensional (2D) disordered layers in quantizing magnetic fields is considered, where the electrons are allowed to hop from one layer to another. By using numerical scaling analysis, the mobility edges as well as the critical exponent for the divergence of the localization length are obtained. It is shown that a small amount of hopping between the layers is sufficient to delocalize the states near the centre of the Landau band. The critical exponent is almost independent of the hopping energy and is equal to 1.3 +/- 0.2. The results are compared with those obtained for the 2D limit, the 3D Anderson model without a magnetic field and for a 3D system with a random magnetic field applied.