Crystalline Scaling Geometries from Vortex Lattices

Understand

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.