Anderson Transition in Three-Dimensional Systems in Strong Magnetic Fields

Abstract

The Anderson transition in three dimensional layered systems is investigated in the presence of a quantizing magnetic field perpendicular to the layers. The density of states is calculated. By computing numerically the modulus of the one-body Green’s function, the system size dependence of the exponential decay length of the transmission probability is calculated. It satisfies a one-parameter scaling law. The existence of a metal insulator transition is demonstrated. The mobility edge trajectory, and the critical parameters are obtained. The value of the critical exponent, ν=1.35±0.15, is found to be close to that reported previously for the Anderson model without magnetic field.