Anderson localization for 2D discrete Schrodinger operators with random magnetic fields

We prove Anderson localization near the bottom of the spectrum for two-dimensional discrete Schrodinger operators with random magnetic fields and no scalar potentials. We suppose the magnetic fluxes vanish in pairs, and the magnetic field strength is bounded from below by a positive constant. Main lemmas are the Lifshitz tail and the Wegner estimate on the integrated density of states. Then, Anderson localization, i.e., pure point spectrum with exponentially decreasing eigenfunctions, is proved by the standard multiscale argument.