  We study the doping-driven Mott metal-insulator transition for multi-orbital
Hubbard models with Hund's exchange coupling at finite temperatures. As in the
single-orbital Hubbard model, the transition is of first-order within dynamical
mean field theory, with a coexistence region where two solutions can be
stabilized. We find, that in the presence of finite Hund's coupling, the
insulating phase is connected to a badly metallic phase, which extends to
surprisingly large dopings. While fractional power-law behavior of the
self-energies on the Matsubara axis is found on both sides of the transition, a
regime with frozen local moments develops only on the branch connected to the
insulating phase.
