  We consider gravity duals to d+1 dimensional quantum critical points with
anisotropic scaling. The primary motivation comes from strongly correlated
electron systems in condensed matter theory but the main focus of the present
paper is on the gravity models in their own right. Physics at finite
temperature and fixed charge density is described in terms of charged black
branes. Some exact solutions are known and can be used to obtain a maximally
extended spacetime geometry, which has a null curvature singularity inside a
single non-degenerate horizon, but generic black brane solutions in the model
can only be obtained numerically. Charged matter gives rise to black branes
with hair that are dual to the superconducting phase of a holographic
superconductor. Our numerical results indicate that holographic superconductors
with anisotropic scaling have vanishing zero temperature entropy when the back
reaction of the hair on the brane geometry is taken into account.
