  When an electronic system is subjected to a sufficiently strong magnetic
field that the cyclotron energy is much larger than the Fermi energy, the
system enters the "extreme quantum limit" (EQL) and becomes susceptible to a
number of instabilities. Bringing a three-dimensional electronic system deeply
into the EQL can be difficult, however, since it requires a small Fermi energy,
large magnetic field, and low disorder. Here we present an experimental study
of the EQL in lightly-doped single crystals of strontium titanate, which remain
good bulk conductors down to very low temperatures and high magnetic fields.
Our experiments probe deeply into the regime where theory has long predicted
electron-electron interactions to drive the system into a charge density wave
or Wigner crystal state. A number of interesting features arise in the
transport in this regime, including a striking re-entrant nonlinearity in the
current-voltage characteristics and a saturation of the quantum-limiting field
at low carrier density. We discuss these features in the context of possible
correlated electron states, and present an alternative picture based on
magnetic-field induced puddling of electrons.
