  Topological matter in 3D is characterized by the presence of a topological BF
term in its long-distance effective action. We show that, in 3D, there is
another marginal term that must be added to the action in order to fully
determine the physical content of the model. The quantum phase structure is
governed by three parameters that drive the condensation of topological
defects: the BF coupling, the electric permittivity and the magnetic
permeability of the material. For intermediate levels of electric permittivity
and magnetic permeability the material is a topological insulator. We predict,
however, new states of matter when these parameters cross critical values: a
topological superconductor when electric permittivity is increased and magnetic
permeability is lowered and a charge confinement phase in the opposite case of
low electric permittivity and high magnetic permeability. Synthetic topological
matter may be fabricated as 3D arrays of Josephson junctions.
