  For a charged quantum particle in the Euclidean plane subject to a
perpendicular constant magnetic field and repulsive impurities, randomly
distributed according to Poisson's law, we determine the leading low-energy
fall-off of the integrated density of states in case the single-impurity
potential has either super-Gaussian or regular sub-Gaussian long-distance
decay. The forms of the resulting so-called magnetic Lifshits tails reflect the
great variety of these decays. On the whole, we summarize, unify, and
generalize results in previous works of K. Broderix, L. Erd\H{o}s, D.\
Hundertmark, W. Kirsch, and ourselves.
