Superconductor-insulator (SI) transitions in ultrathin films have attracted
significant attention over the last decade because of the possibility that
they are quantum phase transitions. Magnetic field, film thickness, or car
rier concentration can be used as control parameters. The bosonic pictures
of these transitions proposed some years ago are only in qualitative agreem
ent with experiment. In particular, the critical resistance appears not to
be universal, and there are variations in the values of critical exponents.
It has been concluded that in real films fermionic degrees of freedom must
be taken into account. There are also indications that the phase diagram m
ay include a significant metallic phase separating the superconducting and
insulating phases, and that the transition may have a significant percolati
ve aspect. The experimental situation will be broadly reviewed with attenti
on paid to issues relating to materials and measurements.