  We construct charged anisotropic AdS domain walls as solutions of a
consistent truncation of type IIB string theory. These are a one-parameter
family of solutions that flow to an AdS fixed point in the IR, exhibiting
emergent conformal invariance and quantum criticality. They represent the
zero-temperature limit of the holographic superfluids at finite superfluid
velocity constructed in arXiv:1010.5777. We show that these domain walls exist
only for velocities less than a critical value, agreeing in detail with a
conjecture made there. We also comment about the IR limits of flows with
velocities higher than this critical value, and point out an intriguing
similarity between the phase diagrams of holographic superfluid flows and those
of ordinary superconductors with imbalanced chemical potential.
