  We study magnetic geometries with Lifshitz and/or hyperscaling violation
exponents (both with a hard wall cutoff in the IR and a smooth black brane
horizon) which have a complex scalar field which couples to the magnetic field.
The complex scalar is unstable to the production of a vortex lattice in the IR.
The lattice is a normalizable mode which is relevant (i.e. grows into the IR.)
When one considers linearized backreaction of the lattice on the metric and
gauge field, the metric forms a crystalline structure. We analyze the scaling
of the free energy, thermodynamic entropy, and entanglement in the lattice
phase and find that in the smeared limit, the leading order correction to
thermodynamic properties due to the lattice has the scaling behavior of a
theory with a hyperscaling violation exponent between 0 and 1, indicating a
flow to an effectively lower-dimensional theory in the deep IR.
