Microlocalization, Percolation, and Anderson Localization for the Magnetic Schrِdinger Operator with a Random Potential

We study the spectral properties of the magnetic Schrِdinger operator with a random potential. Using results from microlocal analysis and percolation, we show that away from the Landau levels, the spectrum is almost surely pure point with (at least) exponentially decaying eigenfunctions. Moreover, it is shown that the rate of decay is proportional toB.