Supersymmetry and density of states of the magnetic Schrodinger operator with a random potential revisited

For large magnetic field and away from the Landau levels, we prove that the density of states of the magnetic Schrodinger operator with a random potential is a Cm function for some appropriate C-0(infinity) classes of probability distributions. To achieve the above result, we use the method of Bohr-Sommerfeld quantization, supersymmetry and an elementary cluster expansion. Combining with our previous results [24], we obtain an asymptotic expansion for the density of states as a measure.