  The periodic Anderson model (PAM) is studied within the framework of
dynamical mean-field theory, with particular emphasis on the interaction-driven
Mott transition it contains, and on resultant Mott insulators of both
Mott-Hubbard and charge-transfer type. The form of the PAM phase diagram is
first deduced on general grounds using two exact results, over the full range
of model parameters and including metallic, Mott, Kondo and band insulator
phases.The effective low-energy model which describes the PAM in the vicinity
of a Mott transition is then shown to be a one-band Hubbard model, with
effective hoppings that are not in general solely nearest neighbour, but decay
exponentially with distance. This mapping is shown to have a range of
implications for the physics of the problem, from phase boundaries to
single-particle dynamics; all of which are confirmed and supplemented by NRG
calculations. Finally we consider the locally degenerate, non-Fermi liquid Mott
insulator, to describe which requires a two-self-energy description. This is
shown to yield a number of exact results for the associated local moment,
charge, and interaction-renormalised levels, together with a generalisation of
Luttinger's theorem to the Mott insulator.
